雁盪山孿生素數

36N（N+1）+ -1都是素數的叫雁盪山孿生素數，這樣的孿生素數有很多，並且是無限多的。

基本介紹

• 中文名：雁盪山孿生素數
• 發現者：張苗寶
• 時間：2015

雁盪山孿生素數[36N（N+1）+ -1]，在N=100000000以內有109128對，它們是

1，3，8，13，14，19，21，24，29，34，43，55，66，89，101，105，

118，119，141，164，185，199，204，208，218，223，230，253，264，266，

283，294，300，320，328，393，406，413，425，430，440，446，456，474，

489，490，505，521，526，530，549，568，574，600，609，614，619，621，

654，659，680，693，740，745，756，773，784，815，825，846，854，855，

871，880，881，895，910，936，10034, 10039, 10086, 10118, 10153, 10156,

10178, 10235, 10248, 10254, 10283, 10354, 10384, 10415, 10466,10479,10566,

10676, 10683, 10776, 10806, 10844, 10848, 10870, 10923, 10946, 10984, 10993,

10995, 11051, 11066, 11108, 11130, 11203, 11236, 11271, 11299, 11324, 11346,

11350, 11355, 11378, 11404, 11466, 11469, 11501, 11518, 11579, 11598, 11618,

11646, 11700, 11768, 11786, 11788, 11789, 11810, 11871, 11884, 11936, 11996,

12074, 12075, 12181, 12274, 12354, 12398, 12465, 12475, 12480, 12528, 12584,

12634, 12666, 12750, 12785, 12818, 12830, 12906, 12978, 12990, 12999, 13014,

13019, 13051, 13121, 13153, 13186, 13243, 13261, 13264, 13335, 13459, 13480,

13509, 13574, 13608, 13620, 13739, 13819, 13838, 13893, 13910, 13965, 13998,

13999, 14043, 14064, 14080, 14148, 14161, 14189, 14194, 14215, 14245, 14330,

14393, 14468, 14486, 14516, 14535, 14560, 14563, 14568, 14581, 14584, 14600,

14640, 14666, 14680, 14700, 14720, 14726, 14743, 14756, 14759, 14761, 14764,

14804, 14843, 14850, 14906, 14924, 14943, 14946, 14960, 14986, 14988, 15016,

15084, 15193, 15245, 15246, 15333, 15338, 15364, 15420, 15483, 15498, 15505,

15506, 15524, 15539, 15574, 15625, 15653, 15665, 15673, 15700, 15704, 15729,

15736, 15741, 15758, 15855, 15870, 15928, 15963, 15966, 15991, 15996, 16015,

16035, 16108, 16133, 16168, 16171, 16183, 16199, 16234, 16271, 16443, 16451,

16590, 16656, 16665, 16694, 16733, 16735, 16796, 16873, 16875, 16911, 16974,

16988, 17039, 17123, 17199, 17220, 17246, 17338, 17340, 17358, 17365, 17381,

17403, 17409, 17463, 17473, 17506, 17515, 17604, 17625, 17695, 17746, 17766,

17785, 17864, 17905, 17935, 17940, 18024, 18061, 18126, 18185, 18263, 18299,

18305, 18343, 18360, 18445, 18469, 18494, 18593, 18609, 18648, 18656, 18665,

18691, 18784, 18800, 18810, 18849, 18875, 18940, 18983, 19034, 19069, 19111,

19125, 19379, 19409, 19418, 19428, 19430, 19514, 19608, 19614, 19795, 19941,

19948, 19991, 20013, 20044, 20065, 20114, 20229, 20256, 20278, 20296, 20373,

20459, 20499, 20538, 20658, 20670, 20788, 20816, 20858, 20914, 20923, 20926,

20930, 20999, 21048, 21133, 21148, 21194, 21271, 21300, 21308, 21323, 21344,

21360, 21371, 21378, 21421, 21434, 21435, 21469, 21589, 21595, 21670, 21680,

21700, 21705, 21768, 21861, 21875, 21876, 22091, 22098, 22109, 22113, 22114,

22135, 22301, 22329, 22340, 22351, 22368, 22490, 22550, 22571, 22594, 22604,

22714, 22771, 22825, 22828, 22834, 22853, 22869, 22889, 22896, 22935, 22951,

22970, 23036, 23049, 23141, 23203, 23220, 23240, 23261, 23271, 23274, 23331,

23380, 23395, 23506, 23514, 23519, 23520, 23544, 23673, 23716, 23778, 23859,

23876, 23926, 24051, 24195, 24220, 24314, 24375, 24403, 24436, 24438, 24498,

24515, 24519, 24521, 24591, 24688, 24729, 24750, 24934, 24963, 24968, 24974,

24984, 25003, 25074, 25116, 25129, 25163, 25189, 25276, 25308, 25339, 25341,

25346, 25423, 25431, 25465, 25488, 25518, 25521, 25584, 25585, 25590, 25618,

25626, 25633, 25655, 25746, 25749, 25766, 25781, 25835, 25865, 25868, 25870,

25871, 25978, 26015, 26045, 26080, 26131, 26134, 26136, 26164, 26216, 26246,

26274, 26328, 26341, 26374, 26459, 26461, 26689, 26699, 26794, 26809, 26825,

26859, 26899, 26901, 26916, 27000, 27013, 27025, 27026, 27033, 27035, 27056,

27200, 27208, 27231, 27238, 27263, 27354, 27391, 27394, 27415, 27420, 27440,

27558, 27581, 27615, 27678, 27781, 27793, 27846, 27854, 27860, 27898, 27978,

27989, 28014, 28066, 28070, 28071, 28110, 28159, 28174, 28190, 28208, 28216,

28301, 28304, 28316, 28348, 28435, 28446, 28470, 28505, 28518, 28524, 28556,

28616, 28624, 28673, 28684, 28714, 28874, 28903, 28913, 28948, 28959, 28973,

29090, 29155, 29196, 29326, 29336, 29429, 29438, 29524, 29525, 29531, 29559,

29574, 29594, 29613, 29665, 29666, 29714, 29720, 29769, 29809, 29924, 29975,

30120, 30156, 30259, 30268, 30281, 30303, 30324, 30404, 30416, 30421, 30428,

30458, 30478, 30495, 30546, 30556, 30616, 30626, 30660, 30705, 30738, 30799,

30838, 30941, 30955, 30996, 31039, 31060, 31118, 31163, 31198, 31206, 31221,

31310, 31398, 31450, 31470, 31548, 31666, 31716, 31760, 31778, 31785, 31811,

31823, 31835, 31848, 31863, 31876, 31928, 31986, 32009, 32035, 32199, 32226,

32249, 32296, 32315, 32318, 32406, 32436, 32444, 32513, 32528, 32535, 32555,

32560, 32651, 32719, 32766, 32835, 32840, 32961, 33124, 33130, 33138, 33174,

33186, 33230, 33250, 33251, 33253, 33319, 33461, 33613, 33650, 33678, 33708,

33741, 33778, 33876, 33899, 33913, 33944, 33984, 34021, 34060, 34209, 34385,

34419, 34460, 34524, 34555, 34558, 34576, 34580, 34606, 34630, 34641, 34684,

34718, 34721, 34740, 34761, 34768, 34831, 34835, 34874, 34905, 34994, 35008,

35036, 35134, 35153, 35259, 35314, 35454, 35475, 35491, 35624, 35636, 35670,

35721, 35756, 35775, 35799, 35806, 35810, 35889, 35929, 35964, 36013, 36100,

36109, 36163, 36189, 36228, 36235, 36239, 36309, 36331, 36393, 36408, 36410,

36468, 36491, 36531, 36629, 36643, 36778, 36783, 36870, 36993, 37064, 37129,

37143, 37299, 37366, 37371, 37509, 37513, 37535, 37583, 37623, 37658, 37663,

37715, 37754, 37878, 37911, 37964, 37969, 38088, 38118, 38130, 38135, 38165,

38170, 38211, 38275, 38296, 38479, 38529, 38531, 38536, 38538, 38605, 38610,

38666, 38801, 38930, 38976, 39136, 39236, 39303, 39334, 39338, 39340, 39368,

39389, 39409, 39425, 39464, 39483, 39570, 39581, 39635, 39658, 39730, 39794,

39843, 39884, 39914, 40036, 40120, 40124, 40248, 40269, 40311, 40316, 40335,

40355, 40358, 40418, 40433, 40668, 40699, 40778, 40816, 40914, 40936, 40999,

41040, 41055, 41063, 41086, 41125, 41188, 41273, 41369, 41476, 41518, 41530,

41531, 41560, 41720, 41753, 41760, 41805, 41814, 41961, 42031, 42054, 42083,

42091, 42148, 42159, 42171, 42181, 42196, 42209, 42259, 42295, 42311, 42393,

42409, 42419, 42500, 42519, 42546, 42654, 42763, 42836, 42859, 42883, 42913,

42929, 42934, 42941, 42960, 43000, 43014, 43043, 43086, 43181, 43184, 43259,

43350, 43354, 43398, 43410, 43435, 43455, 43494, 43515, 43540, 43548, 43566,

43643, 43716, 43755, 43799, 43861, 43865, 43890, 43925, 43946, 44063, 44156,

44190, 44215, 44253, 44304, 44310, 44334, 44408, 44520, 44555, 44560, 44640,

44666, 44693, 44696, 44815, 44910, 44995, 45088, 45095, 45100, 45101, 45106,

45183, 45216, 45220, 45248, 45263, 45321, 45470, 45503, 45535, 45556, 45575,

45680, 45694, 45710, 45928, 45958, 45984, 45990, 46010, 46024, 46031, 46084,

46100, 46243, 46296, 46299, 46338, 46355, 46388, 46509, 46530, 46543, 46570,

46591, 46606, 46644, 46763, 46784, 46819, 46854, 46886, 46955, 47008, 47038,

47068, 47150, 47180, 47186, 47204, 47271, 47346, 47348, 47395, 47433, 47493,

47516, 47543, 47554, 47570, 47628, 47726, 47764, 47771, 47824, 47841, 47879,

47908, 47920, 47930, 47974, 47986, 48091, 48111, 48158, 48193, 48230, 48308,

48418, 48438, 48503, 48564, 48576, 48580, 48583, 48623, 48655, 48725, 48753,

48793, 48805, 48810, 48905, 48930, 49098, 49113, 49150, 49278, 49321, 49364,

49371, 49440, 49461, 49588, 49635, 49644, 49666, 49815, 49853, 49878, 49903,

49993, 50014, 50039, 50116, 50141, 50216, 50246, 50273, 50301, 50384, 50400,

50443, 50450, 50464, 50498, 50526, 50604, 50659, 50693, 50730, 50735, 50860,

50919, 50944, 50986, 51005, 51015, 51063, 51099, 51143, 51164, 51191, 51294,

51309, 51378, 51379, 51428, 51444, 51490, 51521, 51534, 51540, 51696, 51750,

51815, 51848, 51908, 51964, 51999, 52006, 52073, 52078, 52121, 52300, 52323,

52463, 52515, 52520, 52531, 52636, 52724, 52773, 52815, 52851, 52879, 52884,

52953, 52989, 53173, 53184, 53259, 53299, 53340, 53371, 53429, 53459, 53521,

53616, 53686, 53693, 53739, 53803, 53858, 53933, 54013, 54054, 54064, 54081,

54095, 54116, 54145, 54158, 54188, 54213, 54218, 54229, 54248, 54341, 54374,

54390, 54430, 54494, 54545, 54635, 54708, 54715, 54811, 54820, 54935, 55093,

55126, 55163, 55174, 55191, 55235, 55293, 55334, 55434, 55445, 55474, 55588,

55670, 55721, 55784, 55805, 55825, 55858, 55903, 55984, 56049, 56066, 56070,

56083, 56084, 56085, 56094, 56101, 56104, 56153, 56166, 56168, 56216, 56316,

56328, 56356, 56383, 56423, 56524, 56540, 56558, 56591, 56743, 56749, 56783,

56924, 57030, 57120, 57190, 57301, 57331, 57455, 57498, 57526, 57529, 57560,

57611, 57624, 57734, 57749, 57784, 57830, 57926, 57970, 57981, 58035, 58045,

58196, 58205, 58240, 58275, 58296, 58341, 58346, 58400, 58476, 58801, 58850,

58870, 58875, 58940, 58941, 59020, 59029, 59080, 59139, 59143, 59164, 59318,

59361, 59373, 59484, 59535, 59606, 59619, 59674, 59689, 59730, 59743, 59865,

59923, 59926, 59975, 59991, 59998, 60149, 60164, 60191, 60193, 60229, 60233,

60243, 60350, 60388, 60606, 60630, 60646, 60686, 60723, 60738, 60759, 60773,

60789, 60803, 60805, 60835, 60851, 60950, 60996, 61048, 61169, 61179, 61190,

61194, 61216, 61228, 61264, 61290, 61333, 61460, 61515, 61524, 61566, 61579,

61696, 61706, 61753, 61824, 61830, 61843, 61855, 61906, 61970, 62044, 62138,

62231, 62308, 62331, 62378, 62460, 62480, 62490, 62545, 62579, 62636, 62763,

62835, 62846, 62861, 62936, 63090, 63099, 63101, 63124, 63136, 63203, 63204,

63320, 63339, 63385, 63498, 63524, 63593, 63670, 63686, 63719, 63736, 63754,

63840, 63959, 64000, 64001, 64035, 64088, 64093, 64140, 64148, 64200, 64246,

64298, 64308, 64310, 64335, 64391, 64393, 64519, 64529, 64548, 64560, 64581,

64650, 64683, 64718, 64774, 64839, 65008, 65036, 65058, 65113, 65119, 65196,

65208, 65253, 65275, 65285, 65299, 65310, 65313, 65411, 65420, 65485, 65506,

65520, 65689, 65740, 65756, 65765, 65859, 65906, 65911, 65976, 66010, 66011,

66025, 66059, 66185, 66286, 66321, 66426, 66575, 66601, 66668, 66674, 66703,

66715, 66755, 66780, 66829, 66849, 66863, 66909, 66920, 67011, 67053, 67095,

67196, 67233, 67259, 67264, 67270, 67291, 67348, 67354, 67404, 67459, 67465,

67635, 67654, 67655, 67746, 67753, 67850, 67879, 67933, 67940, 67999, 68115,

68251, 68306, 68311, 68353, 68421, 68474, 68519, 68526, 68573, 68633, 68659,

68678, 68713, 68715, 68753, 68820, 68900, 68953, 68960, 68999, 69006, 69016,

69046, 69123, 69156, 69160, 69181, 69209, 69210, 69331, 69390, 69524, 69541,

69593, 69595, 69653, 69683, 69688, 69803, 69886, 69923, 69968, 70208, 70266,

0320, 70423, 70435, 70449, 70528, 70540, 70640, 70644, 70654, 70700, 70769,

70813, 70840, 70846, 70869, 70979, 71056, 71060, 71113, 71175, 71265, 71281,

71303, 71343, 71408, 71419, 71469, 71490, 71603, 71776, 71785, 71825, 71870,

71875, 71928, 71931, 72089, 72101, 72119, 72178, 72184, 72436, 72491, 72514,

72540, 72618, 72645, 72695, 72786, 72840, 72849, 72899, 72908, 72995, 73036,

73181, 73206, 73256, 73268, 73300, 73324, 73330, 73359, 73409, 73435, 73505,

73568, 73584, 73724, 73734, 73745, 73753, 73765, 73816, 73829, 73848, 73920,

73955, 73991, 74009, 74044, 74060, 74103, 74110, 74165, 74189, 74213, 74229,

74233, 74240, 74243, 74256, 74416, 74520, 74541, 74579, 74620, 74626, 74726,

74749, 74808, 74819, 74828, 74868, 74966, 74984, 74999, 75011, 75019, 75024,

75029, 75068, 75113, 75125, 75148, 75178, 75361, 75438, 75500, 75516, 75519,

75586, 75603, 75621, 75649, 75669, 75696, 75760, 75764, 75855, 75970, 76103,

76104, 76125, 76139, 76208, 76294, 76366, 76396, 76466, 76485, 76504, 76606,

76621, 76741, 76793, 76849, 76868, 76888, 76905, 76958, 76984, 77000, 77075,

77119, 77176, 77181, 77204, 77206, 77341, 77386, 77413, 77484, 77553, 77575,

77608, 77661, 77664, 77668, 77701, 77775, 77794, 77834, 77899, 77923, 78011,

78028, 78100, 78126, 78160, 78203, 78216, 78230, 78289, 78373, 78426, 78471,

78506, 78620, 78659, 78671, 78690, 78728, 78779, 78846, 78868, 78900, 78960,

78973, 78974, 79103, 79126, 79131, 79154, 79191, 79205, 79210, 79215, 79231,

79278, 79323, 79364, 79373, 79395, 79415, 79441, 79456, 79499, 79533, 79575,

79639, 79904, 79913, 79954, 80058, 80116, 80305, 80381, 80414, 80419, 80554,

80591, 80606, 80613, 80844, 80888, 80890, 80911, 80963, 81035, 81133, 81201,

81213, 81245, 81261, 81298, 81486, 81488, 81513, 81579, 81590, 81591, 81613,

81670, 81733, 81756, 81836, 81858, 81884, 81896, 81910, 81914, 81948, 82013,

82025, 82034, 82040, 82078, 82109, 82159, 82179, 82246, 82251, 82278, 82306,

82376, 82530, 82578, 82603, 82666, 82733, 82799, 82818, 82969, 82995, 83011,

83028, 83096, 83110, 83226, 83319, 83345, 83398, 83410, 83509, 83534, 83706,

83721, 83768, 83784, 83814, 83823, 83839, 83851, 83858, 83970, 84015, 84028,

84029, 84096, 84138, 84215, 84244, 84274, 84315, 84344, 84434, 84545, 84586,

84644, 84770, 85114, 85134, 85218, 85291, 85419, 85421, 85426, 85461, 85666,

85725, 85770, 85798, 85819, 85821, 85848, 85851, 85938, 86033, 86061, 86099,

86101, 86113, 86134, 86161, 86205, 86219, 86226, 86229, 86248, 86409, 86436,

86441, 86499, 86505, 86605, 86614, 86674, 86703, 86726, 86786, 86805, 86889,

86915, 86954, 86996, 87004, 87025, 87031, 87043, 87051, 87128, 87223, 87239,

87246, 87323, 87351, 87375, 87423, 87431, 87491, 87576, 87685, 87786, 87788,

87860, 87933, 87948, 87983, 88031, 88044, 88074, 88091, 88105, 88193, 88231,

88283, 88411, 88425, 88460, 88473, 88479, 88480, 88500, 88504, 88541, 88560,

88618, 88660, 88681, 88686, 88798, 88809, 88845, 88864, 89019, 89166, 89169,

89264, 89300, 89398, 89404, 89440, 89495, 89559, 89589, 89593, 89620, 89631,

89673, 89754, 89755, 89769, 89853, 89909, 89943, 89984, 90051, 90054, 90219,

90236, 90249, 90261, 90321, 90411, 90440, 90478, 90509, 90580, 90583, 90588,

90754, 90800, 90811, 90833, 90923, 91035, 91066, 91146, 91206, 91216, 91238,

91290, 91454, 91469, 91516, 91563, 91595, 91615, 91805, 91831, 91896, 91901,

92043, 92081, 92090, 92106, 92111, 92174, 92211, 92226, 92291, 92295, 92358,

92400, 92433, 92484, 92504, 92519, 92574, 92636, 92756, 92778, 92870, 92888,

92988, 93001, 93005, 93096, 93129, 93138, 93168, 93173, 93198, 93273, 93283,

93290, 93331, 93406, 93409, 93450, 93469, 93518, 93539, 93551, 93610, 93611,

93668, 93700, 93758, 93793, 93843, 93883, 93890, 93936, 93938, 94024, 94031,

94065, 94074, 94094, 94176, 94221, 94279, 94310, 94393, 94419, 94421, 94444,

94456, 94503, 94510, 94529, 94534, 94590, 94591, 94624, 94629, 94643, 94701,

94729, 94799, 94813, 94939, 95021, 95059, 95094, 95143, 95201, 95205, 95275,

95450, 95458, 95571, 95585, 95670, 95679, 95753, 95781, 95868, 95913, 95956,

96081, 96085, 96171, 96271, 96351, 96384, 96424, 96535, 96563, 96711, 96809,

96860, 96981, 96986, 97009, 97074, 97079, 97168, 97265, 97328, 97426, 97515,

97538, 97565, 97576, 97581, 97720, 97826, 97866, 97954, 97968, 97991, 98006,

98026, 98139, 98203, 98229, 98255, 98301, 98344, 98348, 98420, 98435, 98488,

98500, 98509, 98528, 98530, 98533, 98568, 98663, 98731, 98850, 98869, 98881,

98888, 98903, 98915, 98943, 98993, 99095, 99121, 99123, 99134, 99165, 99168,

99209, 99279, 99328, 99435, 99498, 99525, 99531, 99550, 99589, 99615, 99648,

99669, 99826, 99981, 100099, 100156, 100190, 100201, 100218, 100234, 100294,

100301, 100414, 100415, 100434, 100453, 100511, 100516, 100533, 100658,

100675, 100681, 100723, 100793, 100800, 100801, 100894, 100955, 100968,

101013, 101025, 101029, 101120, 101283, 101328, 101409, 101438, 101526,

101634, 101675, 101699, 101701, 101710, 101725, 101748, 101750, 101876,

101926, 101983, 101988, 102014, 102051, 102264, 102303, 102366, 102375,

102376, 102450, 102485, 102543, 102556, 102719, 102721, 102760, 102765,

102766, 102779, 102786, 102836, 102949, 102969, 102990, 103024, 103059,

103078, 103089, 103323, 103339, 103363, 103465, 103466, 103571, 103596,

103600, 103624, 103634, 103673, 103768, 103820, 103899, 103913, 104041,

104049, 104053, 104088, 104156, 104205, 104223, 104238, 104331, 104378,

104399, 104418, 104429, 104443, 104466, 104469, 104520, 104550, 104599,

104613, 104634, 104639, 104671, 104686, 104691, 104734, 104769, 104840,

104853, 104986, 105068, 105103, 105131, 105141, 105145, 105153, 105171,

105260, 105286, 105290, 105350, 105388, 105456, 105475, 105488, 105511,

105523, 105675, 105798, 105875, 105889, 106044, 106109, 106125, 106155,

106186, 106279, 106331, 106350, 106421, 106550, 106741, 106790, 106869,

106939, 106951, 107031, 107175, 107435, 107506, 107614, 107625, 107709,

107740, 107766, 107808, 107978, 108023, 108031, 108123, 108136, 108158,

108195, 108221, 108234, 108328, 108356, 108363, 108429, 108444, 108468,

108513, 108524, 108603, 108604, 108613, 108639, 108731, 108794, 108870,

108888, 108909, 108935, 108955, 108970, 108989, 109130, 109203, 109208,

109319, 109369, 109403, 109529, 109534, 109586, 109591, 109801, 110005,

110074, 110225, 110298, 110354, 110396, 110423, 110503, 110521, 110528,

110536, 110575, 110594, 110645, 110655, 110678, 110694, 110705, 110736,

110745, 110759, 110776, 110883, 110904, 110950, 110990, 111021, 111089,

111093, 111123, 111133, 111228, 111249, 111303, 111319, 111334, 111361,

111398, 111503, 111516, 111524, 111588, 111648, 111749, 111758, 111891,

111919, 111978, 112029, 112048, 112075, 112131, 112174, 112180, 112283,

112365, 112425, 112463, 112649, 112735, 112798, 112815, 112836, 112846,

112976, 113020, 113160, 113161, 113239, 113256, 113293, 113296, 113324,

113408, 113428, 113506, 113629, 113756, 113883, 113930, 114070, 114101,

114105, 114140, 114163, 114185, 114234, 114261, 114271, 114310, 114376,

114385, 114409, 114520, 114644, 114766, 114819, 114974, 115123, 115129,

115183, 115190, 115214, 115216, 115221, 115346, 115370, 115563, 115634,

115713, 115765, 115788, 115816, 115886, 115909, 115923, 115934, 115958,

115961, 116033, 116119, 116130, 116170, 116198, 116215, 116233, 116268,

116275, 116315, 116336, 116390, 116399, 116415, 116444, 116530, 116543,

116549, 116585, 116623, 116670, 116688, 116754, 116808, 116870, 116921,

116931, 116973, 116998, 117015, 117116, 117138, 117155, 117169, 117335,

117398, 117453, 117468, 117470, 117550, 117636, 117726, 117741, 117775,

117806, 117845, 117886, 118079, 118131, 118135, 118153, 118154, 118314,

118418, 118441, 118511, 118525, 118560, 118614, 118690, 118698, 118790,

118828, 118936, 119014, 119066, 119083, 119084, 119143, 119173, 119229,

119251, 119271, 119273, 119313, 119325, 119434, 119454, 119509, 119519,

119556, 119570, 119598, 119629, 119708, 119749, 119759, 119859, 119888,

119918, 120046, 120048, 120063, 120170, 120175, 120254, 120259, 120293,

120393, 120436, 120459, 120475, 120615, 120714, 120760, 120883, 120968,

120980, 121071, 121075, 121106, 121159, 121225, 121229, 121231, 121276,

121281, 121289, 121443, 121474, 121476, 121484, 121499, 121525, 121528,

121554, 121614, 121663, 121681, 121691, 121715, 121810, 121826, 121954,

122001, 122171, 122360, 122386, 122396, 122408, 122456, 122489, 122564,

122589, 122629, 122683, 122799, 122806, 122815, 122821, 122836, 123066,

123144, 123161, 123168, 123280, 123448, 123471, 123473, 123551, 123555,

123578, 123616, 123854, 123901, 123943, 123963, 124029, 124146, 124164,

124288, 124354, 124509, 124523, 124551, 124566, 124624, 124645, 124673,

124683, 124691, 124706, 124719, 124726, 124796, 124900, 124913, 124988,

125004, 125060, 125063, 125088, 125159, 125214, 125233, 125244, 125259,

125293, 125310, 125319, 125328, 125348, 125391, 125404, 125474, 125569,

125651, 125684, 125740, 125768, 125854, 125875, 125903, 126020, 126140,

126238, 126290, 126323, 126468, 126491, 126493, 126498, 126509, 126533,

126616, 126773, 126853, 126889, 126951, 126985, 127039, 127060, 127070,

127125, 127214, 127219, 127246, 127294, 127361, 127393, 127508, 127545,

127590, 127674, 127688, 127699, 127723, 127835, 127868, 127924, 127949,

128078, 128086, 128091, 128261, 128310, 128318, 128346, 128385, 128401,

128535, 128583, 128584, 128618, 128623, 128703, 128715, 128765, 128775,

128813, 128826, 128845, 128898, 128969, 128990, 129044, 129090, 129101,

129115, 129164, 129209, 129226, 129358, 129486, 129496, 129521, 129585,

129594, 129626, 129655, 129689, 129766, 129800, 129813, 129858, 129883,

130198, 130210, 130214, 130273, 130368, 130648, 130661, 130745, 130773,

130793, 130809, 130913, 130919, 130929, 130989, 130999, 131015, 131074,

131139, 131141, 131143, 131183, 131185, 131290, 131353, 131374, 131390,

131391, 131486, 131514, 131551, 131731, 131733, 131748, 131776, 131789,

131823, 131978, 132004, 132138, 132146, 132173, 132259, 132273, 132391,

132459, 132495, 132550, 132551, 132599, 132608, 132699, 132721, 132723,

132949, 132965, 133038, 133084, 133096, 133185, 133246, 133248, 133264,

133316, 133330, 133406, 133446, 133533, 133535, 133551, 133563, 133570,

133768, 133771, 133965, 133981, 134058, 134125, 134146, 134148, 134149,

134168, 134345, 134354, 134450, 134469, 134569, 134589, 134639, 134708,

134800, 134805, 134954, 135030, 135045, 135236, 135301, 135306, 135315,

135339, 135358, 135359, 135373, 135388, 135474, 135485, 135614, 135696,

135703, 135716, 135733, 135814, 135884, 135939, 135945, 135975, 136319,

136456, 136569, 136590, 136604, 136638, 136668, 136701, 136899, 136933,

136953, 136961, 137024, 137045, 137096, 137123, 137138, 137271, 137486,

137541, 137598, 137648, 137661, 137696, 137705, 137746, 137773, 137780,

137801, 137803, 137884, 137991, 138031, 138095, 138244, 138265, 138311,

138320, 138344, 138368, 138395, 138440, 138460, 138463, 138486, 138619,

138620, 138640, 138680, 138699, 138705, 138823, 138893, 138921, 138943,

138963, 139119, 139175, 139214, 139230, 139256, 139336, 139369, 139436,

139464, 139473, 139496, 139518, 139530, 139579, 139669, 139676, 139711,

139748, 139749, 139758, 139803, 139915, 139979, 140038, 140066, 140208,

140216, 140258, 140280, 140283, 140286, 140343, 140356, 140378, 140390,

140421, 140479, 140500, 140544, 140594, 140603, 140703, 140789, 140813,

140859, 140876, 140890, 140946, 140955, 140973, 141098, 141141, 141244,

141251, 141301, 141309, 141505, 141753, 141771, 141781, 141963, 142029,

142243, 142338, 142345, 142358, 142374, 142376, 142428, 142434, 142533,

142586, 142614, 142635, 142684, 142696, 142705, 142740, 142796, 142798,

142821, 142906, 142910, 142911, 142936, 143023, 143034, 143045, 143128,

143136, 143139, 143211, 143260, 143324, 143338, 143360, 143365, 143400,

143529, 143534, 143578, 143608, 143633, 143688, 143699, 143753, 143821,

143970, 144180, 144189, 144213, 144241, 144368, 144380, 144418, 144588,

144655, 144726, 144789, 144858, 144861, 144954, 144964, 144975, 145005,

145068, 145073, 145120, 145223, 145283, 145284, 145298, 145486, 145634,

145715, 145736, 145739, 145766, 145796, 145811, 145859, 145874, 145895,

146016, 146118, 146130, 146145, 146156, 146184, 146201, 146209, 146235,

146254, 146310, 146336, 146511, 146590, 146691, 146705, 146735, 146763,

146861, 146923, 147238, 147241, 147253, 147318, 147384, 147419, 147476,

147511, 147523, 147524, 147584, 147705, 147768, 147785, 147848, 147881,

147916, 147925, 147946, 147966, 147980, 148011, 148016, 148078, 148214,

148219, 148308, 148375, 148393, 148485, 148531, 148536, 148538, 148583,

148609, 148630, 148695, 148711, 148765, 148806, 149023, 149059, 149135,

149366, 149383, 149393, 149400, 149409, 149428, 149439, 149446, 149463,

149511, 149519, 149549, 149605, 149625, 149745, 149761, 149834, 149838,

149961, 149964, 150020, 150036, 150083, 150085, 150106, 150174, 150335,

150340, 150374, 150463, 150475, 150619, 150620, 150671, 150708, 150799,

150804, 150850, 150856, 150918, 150921, 150979, 150988, 151019, 151100,

151131, 151159, 151304, 151350, 151399, 151413, 151450, 151478, 151513,

151700, 151745, 151761, 151824, 151896, 151903, 151980, 152048, 152099,

152158, 152165, 152195, 152213, 152270, 152383, 152416, 152454, 152526,

152533, 152535, 152544, 152593, 152629, 152669, 152825, 152893, 152964,

152971, 153068, 153089, 153110, 153133, 153215, 153263, 153279, 153443,

153480, 153538, 153551, 153688, 153791, 153840, 153865, 153916, 153973,

154110, 154309, 154371, 154398, 154476, 154493, 154631, 154650, 154750,

154768, 154771, 154833, 154911, 154936, 154943, 154981, 155001, 155099,

155104, 155155, 155158, 155190, 155226, 155230, 155239, 155261, 155363,

155378, 155449, 155469, 155480, 155501, 155769, 155816, 155874, 155905,

155931, 155938, 155949, 156000, 156028, 156054, 156194, 156229, 156276,

156285, 156378, 156570, 156584, 156628, 156660, 156820, 156973, 156975,

157010, 157059, 157064, 157111, 157144, 157204, 157218, 157381, 157529,

157610, 157666, 157675, 157729, 157744, 157759, 157779, 157795, 157863,

157876, 157933, 158075, 158249, 158255, 158271, 158346, 158375, 158388,

158504, 158549, 158551, 158676, 158745, 158788, 158816, 158886, 158961,

159025, 159031, 159061, 159083, 159106, 159155, 159158, 159185, 159236,

159263, 159293, 159321, 159388, 159391, 159416, 159421, 159460, 159573,

159605, 159631, 159783, 159811, 159825, 159836, 159911, 159930, 160053,

160130, 160149, 160151, 160156, 160208, 160268, 160348, 160356, 160408,

160509, 160560, 160678, 160679, 160746, 160795, 160840, 160858, 160910,

160924, 160950, 161043, 161056, 161061, 161094, 161134, 161159, 161195,

161245, 161278, 161329, 161365, 161395, 161468, 161525, 161563, 161573,

161640, 161743, 161780, 161789, 161860, 161929, 162051, 162056, 162090,

162100, 162174, 162295, 162324, 162359, 162361, 162405, 162421, 162438,

162480, 162541, 162613, 162630, 162636, 162704, 162770, 162805, 162833,

162944, 163009, 163030, 163296, 163360, 163484, 163525, 163609, 163721,

163756, 163808, 163854, 163878, 163901, 163943, 164006, 164034, 164205,

164268, 164384, 164388, 164459, 164575, 164578, 164596, 164636, 164703,

164711, 164786, 164828, 165039, 165096, 165241, 165350, 165394, 165441,

165486, 165494, 165555, 165583, 165648, 165698, 165704, 165765, 165814,

165843, 165884, 165901, 165920, 165959, 166125, 166166, 166190, 166248,

166279, 166391, 166403, 166449, 166466, 166480, 166533, 166545, 166580,

166659, 166773, 166845, 166871, 166913, 166986, 167145, 167195, 167223,

167293, 167368, 167394, 167404, 167424, 167478, 167481, 167506, 167550,

167565, 167693, 167739, 167854, 167886, 167999, 168010, 168036, 168176,

168180, 168189, 168269, 168278, 168280, 168334, 168350, 168398, 168454,

168496, 168546, 168636, 168651, 168679, 168698, 168703, 168715, 168759,

168763, 168824, 168843, 168846, 168855, 168889, 168896, 168913, 168999,

169016, 169029, 169043, 169048, 169051, 169091, 169114, 169198, 169204,

169218, 169246, 169270, 169315, 169323, 169419, 169441, 169599, 169623,

169669, 169674, 169714, 169744, 169786, 169821, 169855, 169868, 169909,

169963, 170030, 170054, 170065, 170103, 170150, 170169, 170288, 170381,

170429, 170451, 170609, 170623, 170628, 170764, 170779, 170871, 170880,

170978, 170995, 171066, 171136, 171164, 171221, 171260, 171338, 171346,

171361, 171444, 171454, 171590, 171596, 171729, 171783, 171814, 171820,

171853, 171855, 171860, 171934, 172054, 172100, 172133, 172235, 172350,

172394, 172408, 172410, 172535, 172544, 172598, 172808, 172859, 172914,

172994, 173026, 173033, 173116, 173150, 173179, 173183, 173346, 173374,

173549, 173573, 173640, 173683, 173743, 173781, 173853, 173904, 173928,

173965, 173985, 173998, 174055, 174130, 174156, 174198, 174210, 174254,

174275, 174340, 174349, 174440, 174476, 174523, 174641, 174728, 174768,

174910, 174984, 175029, 175061, 175066, 175071, 175129, 175241, 175294,

175363, 175418, 175435, 175454, 175474, 175623, 175630, 175666, 175750,

175815, 176030, 176060, 176071, 176121, 176154, 176188, 176195, 176305,

176314, 176343, 176440, 176501, 176550, 176834, 176975, 177276, 177331,

177385, 177411, 177414, 177493, 177528, 177633, 177674, 177710, 177770,

177798, 177803, 177840, 177903, 177913, 177941, 177948, 177961, 178046,

178230, 178246, 178269, 178284, 178333, 178375, 178473, 178480, 178528,

178555, 178570, 178603, 178636, 178696, 178701, 178849, 178881, 178886,

178956, 179051, 179068, 179109, 179165, 179229, 179231, 179388, 179416,

179515, 179525, 179584, 179588, 179593, 179623, 179625, 179644, 179711,

179774, 179824, 179889, 179975, 180013, 180113, 180180, 180221, 180260,

180299, 180306, 180370, 180423, 180435, 180508, 180606, 180649, 180684,

180698, 180713, 180741, 180804, 180823, 181000, 181133, 181224, 181340,

181618, 181700, 181716, 181749, 181830, 181956, 182001, 182043, 182125,

182155, 182159, 182160, 182168, 182248, 182391, 182419, 182435, 182483,

182493, 182593, 182596, 182731, 182780, 182846, 182860, 182899, 182911,

182916, 182974, 182983, 183004, 183025, 183041, 183239, 183251, 183319,

183328, 183330, 183386, 183459, 183466, 183485, 183599, 183624, 183631,

183755, 183800, 183809, 183828, 183860, 183898, 183904, 183910, 183965,

183989, 183991, 184043, 184089, 184110, 184148, 184164, 184206, 184294,

184346, 184366, 184485, 184493, 184506, 184521, 184595, 184604, 184666,

184890, 184924, 184926, 185016, 185150, 185234, 185239, 185265, 185318,

185321, 185330, 185458, 185576, 185583, 185598, 185706, 185745, 185823,

185885, 185900, 186084, 186093, 186119, 186124, 186185, 186199, 186220,

186261, 186289, 186299, 186320, 186361, 186474, 186590, 186656, 186709,

186758, 186775, 186780, 186845, 186859, 186936, 187089, 187094, 187106,

187186, 187190, 187235, 187241, 187269, 187279, 187326, 187349, 187368,

187369, 187381, 187456, 187460, 187776, 187799, 187913, 188114, 188140,

188159, 188160, 188215, 188355, 188478, 188555, 188796, 188905, 188930,

188963, 188984, 188994, 189005, 189024, 189055, 189098, 189171, 189178,

189188, 189223, 189229, 189264, 189294, 189299, 189315, 189351, 189419,

189516, 189523, 189544, 189616, 189631, 189659, 189850, 189946, 190226,

190231, 190233, 190295, 190443, 190448, 190450, 190475, 190566, 190718,

190764, 190870, 190935, 191063, 191145, 191428, 191554, 191619, 191694,

191708, 191740, 191786, 191869, 191876, 191904, 191925, 191934, 191938,

191955, 191969, 191983, 192018, 192066, 192079, 192244, 192284, 192338,

192349, 192363, 192421, 192473, 192475, 192510, 192541, 192618, 192710,

192715, 192751, 192890, 193030, 193144, 193186, 193210, 193280, 193299,

193361, 193383, 193591, 193599, 193625, 193735, 193751, 193774, 194053,

194080, 194193, 194213, 194304, 194306, 194348, 194353, 194395, 194416,

194451, 194479, 194509, 194580, 194634, 194638, 194691, 194788, 194845,

194874, 194876, 194941, 194985, 194991, 195021, 195039, 195146, 195151,

195219, 195233, 195244, 195263, 195284, 195334, 195429, 195445, 195569,

195614, 195723, 195763, 195768, 195835, 195840, 195853, 195875, 195909,

195936, 195940, 196001, 196043, 196056, 196146, 196180, 196250, 196388,

196393, 196446, 196498, 196616, 196741, 196766, 196789, 196820, 196990,

197013, 197086, 197093, 197133, 197151, 197221, 197336, 197349, 197385,

197445, 197470, 197505, 197559, 197576, 197589, 197603, 197623, 197666,

197820, 197861, 197879, 197980, 197981, 197986, 197993, 198028, 198059,

198065, 198100, 198155, 198199, 198306, 198324, 198358, 198393, 198401,

198444, 198479, 198483, 198535, 198590, 198744, 198880, 198913, 198948,

199034, 199268, 199290, 199410, 199681, 199696, 199746, 199788, 199801,

199814, 199820, 199850, 199874, 199899, 199923, 199949, 200063, 200068,

200135, 200175, 200191, 200238, 200290, 200394, 200424, 200481, 200551,

200651, 200653, 200858, 200891, 200926, 201059, 201061, 201080, 201088,

201153, 201181, 201251, 201293, 201444, 201503, 201593, 201659, 201668,

201673, 201699, 201720, 201736, 201760, 201920, 201948, 202028, 202109,

202275, 202373, 202384, 202553, 202628, 202686, 202725, 202930, 202945,

202958, 202965, 202991, 202999, 203001, 203035, 203098, 203148, 203154,

203248, 203285, 203311, 203370, 203384, 203400, 203490, 203505, 203580,

203673, 203686, 203733, 203740, 203761, 203775, 203776, 203869, 203881,

203918, 203999, 204048, 204051, 204134, 204221, 204240, 204371, 204400,

204480, 204543, 204581, 204630, 204676, 204713, 204769, 204791, 204844,

204869, 204870, 204944, 204954, 205136, 205161, 205308, 205373, 205388,

205435, 205500, 205555, 205575, 205618, 205633, 205701, 205765, 205794,

205950, 205988, 206001, 206024, 206045, 206066, 206086, 206270, 206293,

206363, 206368, 206423, 206491, 206685, 206755, 206765, 206773, 206869,

206881, 206921, 207114, 207116, 207150, 207191, 207208, 207234, 207278,

207285, 207296, 207310, 207326, 207341, 207455, 207509, 207574, 207623,

207703, 207709, 207871, 207921, 208011, 208019, 208071, 208206, 208214,

208264, 208361, 208563, 208626, 208666, 208691, 208704, 208794, 208795,

208816, 208846, 208894, 209083, 209114, 209163, 209166, 209170, 209193,

209265, 209329, 209368, 209445, 209488, 209496, 209621, 209653, 209693,

209704, 209714, 209770, 209839, 209886, 210010, 210043, 210069, 210101,

210105, 210148, 210169, 210173, 210325, 210343, 210400, 210468, 210510,

210535, 210756, 210820, 210964, 211011, 211106, 211211, 211284, 211308,

211321, 211331, 211415, 211466, 211499, 211511, 211573, 211583, 211630,

211708, 211819, 211854, 211890, 211930, 211965, 211981, 211988, 211995,

212028, 212101, 212148, 212155, 212248, 212260, 212301, 212320, 212365,

212469, 212644, 212666, 212733, 212861, 212864, 212954, 213018, 213030,

213046, 213164, 213249, 213300, 213379, 213466, 213486, 213505, 213563,

213603, 213674, 213676, 213748, 213811, 213851, 214004, 214028, 214044,

214081, 214103, 214123, 214136, 214179, 214270, 214304, 214313, 214334,

214445, 214471, 214493, 214576, 214695, 214714, 214879, 214891, 214926,

215148, 215151, 215201, 215229, 215290, 215314, 215325, 215358, 215414,

215523, 215750, 215769, 215901, 215939, 216023, 216168, 216189, 216256,

216313, 216404, 216419, 216438, 216555, 216714, 216770, 216786, 216814,

216825, 216831, 216854, 216874, 216908, 217175, 217223, 217265, 217278,

217280, 217301, 217336, 217381, 217546, 217553, 217628, 217671, 217673,

217693, 217728, 217853, 217904, 217945, 217981, 218023, 218105, 218153,

218165, 218224, 218373, 218410, 218484, 218489, 218519, 218538, 218554,

218721, 218734, 218736, 218750, 218854, 218895, 218975, 219045, 219171,

219201, 219205, 219311, 219316, 219334, 219423, 219465, 219479, 219521,

219618, 219721, 219738, 220094, 220125, 220274, 220284, 220366, 220401,

220429, 220436, 220450, 220514, 220540, 220561, 220605, 220613, 220645,

220703, 220720, 220776, 220923, 220956, 220995, 221019, 221088, 221149,

221154, 221203, 221221, 221320, 221389, 221416, 221474, 221511, 221625,

221634, 221700, 221723, 221780, 221831, 221849, 221949, 222039, 222075,

222120, 222129, 222159, 222258, 222325, 222354, 222418, 222419, 222430,

222465, 222480, 222521, 222543, 222704, 222715, 222845, 222848, 222930,

222946, 223028, 223051, 223095, 223096, 223110, 223144, 223146, 223170,

223188, 223201, 223219, 223221, 223245, 223313, 223368, 223401, 223408,

223433, 223599, 223616, 223653, 223660, 223788, 223810, 223851, 223959,

224160, 224171, 224208, 224210, 224248, 224295, 224353, 224381, 224388,

224456, 224493, 224510, 224511, 224705, 224864, 224885, 225013, 225174,

225195, 225196, 225211, 225351, 225420, 225445, 225450, 225539, 225611,

225631, 225665, 225679, 225725, 225756, 225835, 225884, 225886, 225918,

225993, 225995, 226068, 226120, 226190, 226234, 226358, 226425, 226436,

226464, 226499, 226516, 226596, 226694, 226770, 226899, 226901, 226934,

226954, 226980, 227030, 227066, 227099, 227106, 227114, 227186, 227216,

227235, 227241, 227309, 227318, 227358, 227426, 227473, 227541, 227545,

227584, 227605, 227631, 227646, 227699, 227716, 227750, 227760, 227801,

227839, 227885, 227926, 227996, 228093, 228151, 228164, 228213, 228264,

228318, 228394, 228544, 228595, 228709, 228828, 228879, 229096, 229239,

229253, 229358, 229398, 229466, 229566, 229575, 229584, 229605, 229635,

229701, 229740, 229760, 229790, 229830, 229869, 229883, 229946, 229963,

229993, 229995, 230096, 230100, 230130, 230179, 230191, 230238, 230280,

230364, 230438, 230440, 230506, 230550, 230669, 230674, 230691, 230786,

230793, 230814, 230901, 231021, 231055, 231099, 231153, 231161, 231180,

231253, 231300, 231343, 231378, 231419, 231455, 231525, 231573, 231666,

231735, 231829, 231906, 231969, 232086, 232134, 232189, 232203, 232235,

232301, 232308, 232358, 232424, 232449, 232459, 232470, 232508, 232540,

232615, 232648, 232680, 232701, 232715, 232729, 232730, 232790, 232818,

232875, 232946, 232996, 233016, 233021, 233070, 233106, 233170, 233183,

233259, 233413, 233456, 233483, 233686, 233906, 234024, 234074, 234108,

234115, 234170, 234193, 234400, 234463, 234485, 234493, 234561, 234591,

234601, 234634, 234685, 234688, 234809, 234851, 234921, 234948, 234965,

235053, 235143, 235156, 235210, 235243, 235415, 235488, 235495, 235518,

235544, 235590, 235635, 235649, 235705, 235735, 235739, 235761, 235768,

235816, 235896, 235980, 235984, 235990, 236006, 236095, 236235, 236283,

236309, 236335, 236354, 236473, 236508, 236524, 236741, 236794, 236853,

236983, 237004, 237005, 237025, 237063, 237284, 237473, 237650, 237690,

237695, 237783, 237849, 237854, 237888, 238000, 238034, 238106, 238189,

238288, 238313, 238371, 238374, 238411, 238441, 238463, 238838, 238871,

238881, 238936, 239041, 239053, 239144, 239195, 239253, 239308, 239321,

239461, 239496, 239499, 239546, 239783, 239975, 240059, 240073, 240155,

240170, 240276, 240353, 240499, 240514, 240535, 240568, 240595, 240693,

240708, 240771, 240961, 240980, 240990, 241143, 241148, 241163, 241228,

241331, 241370, 241403, 241405, 241416, 241445, 241594, 241629, 241646,

241650, 241659, 241669, 241720, 241725, 241769, 241788, 241795, 241799,

241815, 241860, 241884, 241891, 241904, 241913, 241979, 242025, 242031,

242063, 242121, 242180, 242201, 242315, 242359, 242383, 242410, 242495,

242516, 242581, 242604, 242658, 242683, 242700, 242826, 242905, 242969,

243083, 243103, 243255, 243258, 243269, 243279, 243304, 243309, 243333,

243439, 243493, 243585, 243594, 243715, 243740, 243785, 243829, 243865,

243895, 243953, 244089, 244118, 244140, 244168, 244201, 244286, 244319,

244341, 244378, 244399, 244460, 244539, 244686, 244763, 244819, 244868,

244900, 244931, 244991, 245115, 245175, 245236, 245308, 245325, 245339,

245349, 245426, 245433, 245463, 245504, 245563, 245594, 245608, 245678,

245736, 245748, 245810, 245831, 245836, 246021, 246118, 246130, 246139,

246156, 246184, 246265, 246280, 246288, 246309, 246363, 246366, 246399,

246454, 246456, 246609, 246616, 246683, 246746, 246804, 246923, 246961,

246975, 247009, 247035, 247145, 247206, 247210, 247236, 247296, 247316,

247348, 247495, 247523, 247565, 247588, 247673, 247721, 247724, 247805,

247840, 247884, 247953, 247964, 247974, 247981, 248080, 248304, 248358,

248361, 248475, 248561, 248568, 248874, 248986, 248993, 249086, 249135,

249194, 249285, 249303, 249355, 249416, 249466, 249623, 249801, 249920,

250094, 250103, 250143, 250158, 250159, 250279, 250293, 250325, 250328,

250330, 250509, 250531, 250698, 250729, 250781, 250846, 250876, 251005,

251041, 251090, 251201, 251244, 251263, 251291, 251378, 251391, 251558,

251586, 251600, 251608, 251649, 251669, 251699, 251735, 251755, 251833,

251874, 251886, 251900, 251923, 252061, 252126, 252141, 252169, 252199,

252224, 252238, 252250, 252271, 252318, 252346, 252356, 252390, 252433,

252463, 252538, 252600, 252808, 252824, 252839, 252866, 252871, 252908,

252934, 253015, 253030, 253058, 253168, 253216, 253280, 253309, 253354,

253379, 253394, 253443, 253508, 253519, 253540, 253560, 253641, 253683,

253704, 253771, 253800, 253828, 253849, 253886, 253945, 253981, 254085,

254091, 254159, 254283, 254344, 254509, 254588, 254603, 254654, 254709,

254744, 254758, 254798, 254873, 254918, 254996, 255045, 255066, 255150,

255151, 255183, 255226, 255233, 255274, 255330, 255393, 255430, 255576,

255615, 255646, 255681, 255701, 255738, 255750, 255813, 255898, 255948,

256004, 256138, 256171, 256203, 256290, 256291, 256396, 256418, 256499,

256564, 256648, 256660, 256665, 256681, 256816, 256830, 256921, 256983,

257006, 257040, 257124, 257129, 257144, 257155, 257256, 257281, 257358,

257558, 257689, 257724, 257746, 257796, 257878, 257936, 257955, 257993,

258058, 258069, 258114, 258130, 258140, 258229, 258300, 258334, 258371,

258404, 258436, 258489, 258520, 258579, 258611, 258623, 258641, 258664,

258691, 258753, 258774, 258810, 258853, 258880, 259024, 259153, 259220,

259223, 259350, 259371, 259386, 259390, 259391, 259418, 259451, 259488,

259519, 259540, 259568, 259616, 259819, 259841, 259869, 259934, 259959,

260036, 260160, 260274, 260470, 260524, 260536, 260574, 260606, 260615,

260623, 260643, 260673, 260755, 260778, 260896, 261023, 261036, 261064,

261185, 261218, 261224, 261309, 261350, 261395, 261495, 261533, 261546,

261635, 261639, 261686, 261843, 261863, 261945, 262038, 262151, 262279,

262284, 262323, 262328, 262398, 262461, 262498, 262648, 262669, 262730,

262795, 262804, 262806, 262951, 263003, 263031, 263145, 263180, 263338,

263410, 263508, 263793, 263809, 263940, 264018, 264110, 264129, 264130,

264164, 264223, 264253, 264281, 264341, 264430, 264446, 264498, 264536,

264554, 264573, 264631, 264668, 264741, 264851, 264876, 265139, 265158,

265268, 265294, 265338, 265369, 265384, 265394, 265406, 265468, 265474,

265488, 265513, 265564, 265663, 265695, 265783, 265814, 265968, 266006,

266028, 266045, 266134, 266136, 266231, 266274, 266280, 266295, 266320,

266363, 266486, 266523, 266539, 266556, 266665, 266666, 266735, 266801,

266826, 267044, 267120, 267179, 267239, 267256, 267338, 267421, 267466,

267468, 267525, 267550, 267674, 267774, 267788, 267823, 267839, 267848,

267860, 267874, 268040, 268051, 268110, 268120, 268161, 268224, 268229,

268296, 268315, 268336, 268380, 268465, 268554, 268558, 268614, 268625,

268675, 268698, 268828, 268850, 268869, 268904, 268941, 268954, 269045,

269153, 269216, 269265, 269305, 269389, 269501, 269529, 269563, 269624,

269695, 269704, 269815, 269828, 269948, 269961, 270005, 270066, 270086,

270254, 270294, 270373, 270438, 270458, 270469, 270495, 270695, 270763,

270805, 270851, 270891, 270985, 271034, 271099, 271116, 271130, 271151,

271165, 271179, 271204, 271206, 271225, 271230, 271248, 271293, 271299,

271358, 271439, 271529, 271591, 271599, 271605, 271698, 271713, 271726,

271918, 271974, 271979, 271995, 271998, 272009, 272028, 272081, 272093,

272105, 272128, 272140, 272165, 272326, 272530, 272538, 272609, 272648,

272676, 272691, 272755, 272756, 272770, 272803, 272818, 272863, 272874,

272879, 272943, 272950, 272973, 273003, 273106, 273141, 273159, 273204,

273229, 273248, 273290, 273300, 273430, 273433, 273593, 273610, 273708,

273734, 273775, 273836, 273896, 273938, 273976, 274030, 274111, 274160,

274193, 274273, 274275, 274366, 274415, 274434, 274443, 274536, 274583,

274585, 274665, 274666, 274680, 274784, 274856, 274935, 275045, 275063,

275149, 275161, 275171, 275196, 275224, 275259, 275276, 275285, 275385,

275408, 275429, 275483, 275506, 275625, 275770, 275908, 275926, 275968,

276015, 276020, 276048, 276121, 276134, 276149, 276503, 276508, 276526,

276531, 276650, 276666, 276701, 276785, 276869, 276870, 276895, 276900,

276954, 276975, 277030, 277231, 277283, 277289, 277313, 277319, 277371,

277424, 277511, 277663, 277665, 277709, 277710, 277738, 277740, 277759,

277774, 277779, 277805, 277840, 277978, 278039, 278080, 278199, 278239,

278243, 278260, 278370, 278411, 278473, 278523, 278526, 278529, 278540,

278549, 278580, 278615, 278726, 278841, 279016, 279020, 279035, 279049,

279093, 279229, 279305, 279359, 279385, 279448, 279579, 279613, 279641,

279725, 279825, 279838, 279840, 279888, 279900, 279909, 279943, 280106,

280280, 280435, 280461, 280556, 280570, 280621, 280626, 280665, 280691,

280721, 280724, 280726, 280804, 280853, 280925, 280934, 280943, 281011,

281036, 281076, 281113, 281181, 281225, 281426, 281454, 281464, 281540,

281545, 281555, 281590, 281599, 281603, 281716, 281863, 281935, 281954,

281979, 282075, 282266, 282311, 282416, 282418, 282488, 282709, 282736,

282778, 282831, 282906, 283003, 283018, 283064, 283083, 283085, 283123,

283129, 283153, 283206, 283221, 283305, 283380, 283395, 283416, 283421,

283473, 283478, 283506, 283555, 283598, 283610, 283629, 283675, 283879,

283941, 283984, 284219, 284264, 284340, 284425, 284478, 284500, 284516,

284623, 284635, 284674, 284723, 284751, 284788, 284816, 284870, 284903,

284983, 285034, 285131, 285146, 285293, 285298, 285335, 285386, 285405,

285531, 285540, 285544, 285554, 285620, 285663, 285690, 285824, 285908,

286004, 286040, 286093, 286144, 286236, 286301, 286399, 286481, 286508,

286531, 286534, 286559, 286740, 286786, 286910, 286923, 287015, 287020,

287029, 287246, 287283, 287343, 287421, 287428, 287570, 287635, 287644,

287661, 287818, 287836, 287855, 287876, 287909, 287943, 287985, 288008,

288238, 288344, 288435, 288440, 288459, 288606, 288624, 288651, 288680,

288729, 288744, 288846, 288849, 289028, 289030, 289045, 289068, 289169,

289178, 289198, 289213, 289310, 289453, 289553, 289555, 289590, 289626,

289849, 289910, 290025, 290101, 290158, 290171, 290218, 290233, 290263,

290283, 290304, 290305, 290430, 290444, 290491, 290569, 290573, 290666,

290799, 291143, 291245, 291255, 291256, 291306, 291663, 291758, 291801,

291863, 291936, 291980, 292004, 292046, 292181, 292183, 292228, 292433,

292470, 292568, 292578, 292605, 292719, 292813, 292904, 292925, 292964,

292965, 293006, 293109, 293265, 293390, 293418, 293455, 293501, 293544,

293555, 293595, 293615, 293678, 293723, 293754, 293994, 294019, 294111,

294328, 294349, 294381, 294426, 294495, 294619, 294628, 294668, 294686,

294829, 294924, 294981, 294986, 295169, 295214, 295218, 295239, 295280,

295379, 295413, 295420, 295580, 295715, 295736, 295798, 295904, 295905,

295975, 295998, 296045, 296191, 296219, 296255, 296351, 296369, 296408,

296416, 296425, 296430, 296488, 296493, 296504, 296534, 296539, 296555,

296596, 296649, 296749, 296780, 296954, 296971, 297053, 297058, 297104,

297244, 297258, 297260, 297288, 297324, 297335, 297368, 297409, 297480,

297485, 297554, 297555, 297766, 297774, 297909, 297925, 298025, 298049,

298053, 298070, 298226, 298376, 298443, 298450, 298493, 298529, 298569,

298613, 298618, 298623, 298633, 298658, 298676, 298826, 298854, 298884,

298964, 298969, 298973, 299078, 299101, 299165, 299260, 299326, 299341,

299360, 299403, 299456, 299510, 299549, 299628, 299675, 299704, 299844,

299888, 299899, 299974, 300119, 300135, 300208, 300251, 300256, 300308,

300319, 300483, 300504, 300560, 300586, 300588, 300670, 300699, 300704,

300741, 300784, 300819, 300860, 300863, 300900, 300921, 301003, 301019,

301103, 301146, 301171, 301211, 301290, 301349, 301385, 301456, 301509,

301574, 301595, 301623, 301630, 301656, 301714, 301775, 301796, 301806,

301941, 301965, 302104, 302109, 302139, 302196, 302275, 302289, 302295,

302394, 302445, 302594, 302825, 303036, 303068, 303101, 303176, 303198,

303199, 303215, 303253, 303266, 303378, 303395, 303400, 303486, 303654,

303688, 303721, 303723, 303744, 303773, 303793, 303850, 303938, 304078,

304099, 304121, 304149, 304158, 304230, 304253, 304281, 304414, 304470,

304808, 304821, 304879, 304886, 304899, 305004, 305051, 305059, 305121,

305133, 305145, 305269, 305368, 305420, 305436, 305536, 305639, 305696,

305723, 305735, 305784, 305821, 305835, 305945, 306050, 306123, 306139,

306186, 306368, 306451, 306491, 306540, 306568, 306578, 306594, 306600,

306615, 306655, 306683, 306704, 306734, 306811, 306864, 306943, 307048,

307068, 307075, 307133, 307175, 307235, 307245, 307321, 307378, 307420,

307525, 307529, 307560, 307671, 307781, 307789, 307926, 307991, 308028,

308038, 308099, 308103, 308119, 308129, 308234, 308238, 308259, 308295,

308336, 308381, 308413, 308500, 308518, 308544, 308591, 308621, 308661,

308708, 308724, 308728, 308733, 308745, 308808, 308813, 308888, 308908,

308910, 309025, 309055, 309078, 309085, 309118, 309261, 309280, 309300,

309349, 309350, 309399, 309426, 309476, 309513, 309609, 309690, 309708,

309736, 309798, 309911, 309944, 309963, 309974, 310063, 310078, 310184,

310189, 310225, 310274, 310296, 310359, 310378, 310469, 310474, 310495,

310516, 310556, 310568, 310635, 310661, 310709, 310730, 310740, 310933,

311029, 311099, 311248, 311283, 311389, 311440, 311458, 311519, 311538,

311564, 311606, 311613, 311625, 311626, 311668, 311750, 311829, 311835,

311900, 311913, 311935, 311948, 311970, 311988, 312025, 312346, 312373,

312424, 312444, 312445, 312550, 312558, 312563, 312599, 312625, 312661,

312726, 312775, 312816, 312856, 312971, 312990, 313038, 313074, 313109,

313228, 313263, 313264, 313325, 313360, 313410, 313428, 313446, 313549,

313550, 313566, 313664, 313704, 313705, 313715, 313738, 313754, 313999,

314014, 314025, 314054, 314076, 314123, 314264, 314310, 314329, 314453,

314551, 314635, 314648, 314770, 314775, 314980, 315089, 315161, 315171,

315181, 315194, 315225, 315248, 315265, 315269, 315330, 315449, 315470,

315521, 315624, 315714, 315754, 315759, 315770, 315995, 316118, 316280,

316433, 316454, 316506, 316624, 316634, 316643, 316653, 316758, 316793,

316795, 316825, 316844, 316914, 317045, 317085, 317250, 317268, 317274,

317575, 317596, 317754, 317765, 317813, 317953, 317994, 318001, 318045,

318060, 318069, 318139, 318209, 318241, 318384, 318391, 318605, 318606,

318619, 318645, 318731, 318745, 318766, 318898, 318905, 318954, 318990,

319000, 319056, 319109, 319166, 319310, 319331, 319346, 319388, 319438,

319451, 319515, 319635, 319654, 319683, 319739, 319754, 319864, 319920,

319996, 319999, 320138, 320250, 320328, 320389, 320410, 320419, 320479,

320514, 320515, 320580, 320593, 320603, 320778, 320788, 320869, 320893,

320944, 320995, 321018, 321168, 321228, 321483, 321504, 321609, 321656,

321721, 321733, 321763, 321804, 321930, 322031, 322070, 322131, 322133,

322215, 322276, 322334, 322358, 322448, 322456, 322463, 322503, 322601,

322635, 322659, 322689, 322813, 322861, 322911, 323034, 323060, 323090,

323154, 323158, 323189, 323238, 323249, 323266, 323281, 323413, 323476,

323478, 323524, 323555, 323561, 323716, 323841, 323938, 323986, 324001,

324036, 324080, 324150, 324171, 324243, 324395, 324406, 324418, 324429,

324525, 324588, 324663, 324703, 324803, 324840, 324873, 324883, 324920,

324974, 325100, 325171, 325190, 325246, 325296, 325374, 325419, 325438,

325491, 325615, 325648, 325676, 325778, 325829, 325893, 325920, 325925,

326004, 326108, 326130, 326140, 326156, 326163, 326171, 326194, 326256,

326259, 326374, 326439, 326586, 326703, 326906, 326935, 327013, 327015,

327036, 327076, 327089, 327138, 327194, 327236, 327248, 327251, 327320,

327444, 327551, 327564, 327578, 327585, 327669, 327810, 327860, 327918,

327921, 327935, 327976, 328046, 328083, 328184, 328494, 328506, 328655,

328704, 328730, 328741, 328753, 328760, 328765, 328789, 328798, 328838,

328898, 328916, 328961, 329029, 329040, 329105, 329140, 329175, 329209,

329454, 329539, 329556, 329629, 329638, 329866, 329911, 329950, 329978,

329985, 330043, 330120, 330154, 330165, 330224, 330344, 330356, 330410,

330438, 330448, 330489, 330534, 330590, 330706, 330750, 330765, 330786,

330846, 330856, 330889, 330893, 330904, 330956, 330960, 331008, 331061,

331096, 331133, 331155, 331198, 331301, 331339, 331376, 331469, 331565,

331616, 331649, 331668, 331708, 331771, 331775, 331913, 331968, 332174,

332184, 332569, 332629, 332776, 332811, 332905, 333203, 333233, 333266,

333394, 333430, 333473, 333558, 333579, 333633, 333745, 333798, 333851,

333864, 333933, 333980, 333994, 334041, 334123, 334166, 334225, 334320,

334348, 334489, 334500, 334571, 334589, 334631, 334694, 334764, 334928,

334935, 335018, 335140, 335201, 335224, 335356, 335373, 335413, 335425,

335441, 335599, 335893, 335993, 336054, 336059, 336129, 336206, 336273,

336364, 336381, 336456, 336516, 336573, 336728, 336790, 336845, 336881,

336986, 337053, 337100, 337119, 337351, 337410, 337424, 337440, 337475,

337560, 337608, 337701, 337718, 337856, 337865, 338001, 338108, 338246,

338299, 338511, 338521, 338534, 338604, 338660, 338743, 338750, 338859,

338913, 338981, 339011, 339030, 339036, 339074, 339121, 339130, 339234,

339400, 339423, 339431, 339843, 339965, 340038, 340173, 340185, 340250,

340273, 340441, 340518, 340523, 340535, 340606, 340641, 340710, 340725,

340746, 340770, 340795, 340829, 340844, 340920, 340926, 340959, 340963,

341020, 341104, 341181, 341201, 341228, 341241, 341249, 341358, 341445,

341531, 341626, 341654, 341666, 341669, 341678, 341811, 341899, 341925,

341950, 342018, 342093, 342098, 342103, 342235, 342328, 342443, 342450,

342489, 342536, 342569, 342653, 342719, 342775, 342783, 342814, 342853,

343005, 343089, 343118, 343169, 343178, 343183, 343213, 343216, 343225,

343258, 343278, 343330, 343378, 343523, 343624, 343656, 343684, 343806,

343820, 343841, 343860, 343960, 343964, 344006, 344041, 344095, 344393,

344569, 344574, 344575, 344578, 344639, 344646, 344669, 344688, 344725,

344966, 345009, 345016, 345231, 345336, 345366, 345423, 345436, 345439,

345498, 345539, 345708, 345710, 345723, 345826, 346053, 346069, 346118,

346185, 346225, 346253, 346335, 346361, 346373, 346508, 346514, 346524,

346528, 346540, 346660, 346699, 346785, 346905, 346906, 346986, 347124,

347273, 347280, 347319, 347338, 347459, 347633, 347635, 347649, 347725,

347780, 347798, 347840, 347866, 347870, 347886, 347975, 348005, 348026,

348059, 348074, 348090, 348213, 348299, 348634, 348683, 348725, 348831,

348841, 348851, 348949, 348978, 349048, 349069, 349193, 349259, 349270,

349363, 349399, 349566, 349831, 350064, 350096, 350124, 350145, 350283,

350320, 350365, 350418, 350425, 350489, 350530, 350574, 350658, 350789,

350794, 350899, 350993, 351014, 351053, 351149, 351186, 351385, 351429,

351466, 351508, 351581, 351588, 351624, 351741, 351786, 351809, 351958,

352115, 352141, 352159, 352236, 352278, 352288, 352310, 352360, 352701,

352948, 352961, 352974, 352988, 353153, 353169, 353225, 353346, 353375,

353444, 353480, 353513, 353520, 353648, 353689, 353701, 353773, 353799,

353856, 353864, 353874, 353900, 353939, 353976, 353990, 354098, 354131,

354175, 354200, 354210, 354313, 354339, 354466, 354500, 354553, 354598,

354689, 354695, 354754, 354870, 355080, 355218, 355239, 355290, 355291,

355304, 355341, 355379, 355405, 355439, 355461, 355475, 355556, 356026,

。。。。。。

N除以5餘2的，所產生的陰性數是陰性合數能被5整除，5這個數非常特別是唯一一個不是成對能被整除的，有1/5的自然數去除了；

N除以7餘2和4的，所產生的陽性數是陽性合數能被7整除，有2/7的自然數去除了；

N除以11不管余幾，所產生的數都不能被11整除

N除以13餘5和7的，所產生的陰性數是陰性合數能被13整除，有2/13的自然去除了；

N除以17餘6和10的，所產生的陽性數是陽性合數能被17整除，有2/17的自然數去除了；

N除以19不管余幾，所產生的數都不能被19整除

N除以23餘5和17的，所產生的陽性數是陽性合數能被23整除，有2/23的自然數去除了；

N除以29不管余幾，所產生的數都不能被29整除

N除以31餘2和28的，還有餘7和23的，所產生的陰性數和陽性數都是合數都能被31整除，31是雙料的，有4/31的自然數去除了；

N除以37餘10和26的，所產生的陰性數是陰性合數能被37整除，有2/37的自然數去除了；

N除以41餘9和31的，所產生的陰性合數能被41整除，還有餘12和28的，所產生的陽性合數能被 41整除，41也是雙料的，有4/41的自然數去除了；

N除以43餘2和40的，所產生的陰性合數能被43整除，有2/43的自然數去除了；

N除以47餘5和41的，所產生的陰性合數能被47整除，有2/47的自然數去除了；

N除以53餘15和37的，所產生的陽性合數能被53整除，有2/53的自然數去除了；

N除以59不管余幾，所產生的數都不能被59整除：

N除以61不管余幾，所產生的數都不能被61整除：

N除以67餘31和35的，所產生的陰性合數能被67整除，就有2/67的自然數去除了；

N除以71餘1和69的，所產生的陰性合數能被71整除，就有2/71的自然數去除了；

N除以73餘1和71的，所產生的陽性合數能被73整除，就有2/73的自然數去除了；

N除以79餘36和42的，所產生的陽性合數能被79整除，就有2/79的自然數去除了：

N除以83餘5和77的，所產生的陰性合數能被83整除，就有2/83的自然數去除了：

N除以89餘6和82的，所產生的陰性合數能被89整除，還有餘39和49的，所產生的陽性合數能被 89整除，89也是雙料的，就有4/89的自然數去除了；

N除以97餘11和85的，所產生的陽性合數能被97整除，就有2/97的自然數去除了：

N除以101不管余幾，所產生的數都不能被101整除：

N除以103餘4和98的，所產生的陽性合數能被103整除，就有2/103的自然數去除了：

N除以107餘10和96的，所產生的陰性合數能被107整除，就有2/107的自然數去除了：

N除以109不管余幾，所產生的數都不能被109整除：

N除以113餘39和73的，所產生的陽性合數能被113整除，就有2/113的自然數去除了：

N除以127餘26和100的，所產生的陽性合數能被127整除，就有2/127的自然數去除了：

N除以131不管余幾，所產生的數都不能被131整除：

N除以137餘12和124的，所產生的陽性合數能被137整除，就有2/137的自然數去除了；

N除以139不管余幾，所產生的數都不能被139整除：

N除以149不管余幾，所產生的數都不能被149整除：

N除以151餘40和110的，所產生的陽性合數能被151整除，還有餘56和94的，所產生的陰性合數能被151整除，151也是雙料的，就有4/151的自然數去除了；

N除以157餘75和81的，所產生的陰性合數能被157整除，就有2/157的自然數去除了；

N除以163餘15和147的，所產生的陰性合數能被163整除，就有2/163的自然數去除了；

N除以167餘23和143的，所產生的陽性合數能被167整除，就有2/167的自然數去除了：

N除以173餘61和111的，所產生的陰性合數能被173整除，就有2/173的自然數去除了：

N除以179不管余幾，所產生的數都不能被179整除：

N除以181不管余幾，所產生的數都不能被181整除：

N除以191餘37和153的，所產生的陰性合數能被191整除，還有餘76和114的，所產生的陽性合數能被191整除，191也是雙料的，就有4/191的自然數去除了；

N除以193餘49和143的，所產生的陽性合數能被193整除，就有2/193的自然數去除了；

N除以197餘53和143的，所產生的陰性合數能被197整除，就有2/197的自然數去除了：

N除以199餘26和172的，所產生的陽性合數能被199整除，還有餘87和111的，所產生的陰性合數能被199整除，199也是雙料的，就有4/199的自然數去除了：

。。。。。。

有無限多2/p不能產生雁盪山孿生素數，也有無限多4/P不能產生雁盪山孿生素數，但也有無限多的素數不參加篩選，如2，3，11，19，29，59，61。。。。。。用每一個素數篩選能篩掉有4/P，2/P，0/P三種情況,無限多的自然數第一次篩掉1/5後仍然是無限多，以後每一次篩掉2/P或4/P，仍然是無限多。無限多的自然數被每一個素數每一次篩後仍然是無限多的，所以雁盪山孿生素數是無限多的。

能產生雁盪山孿生素數的自然數叫苗寶數。