Sierpinski conjecture base 312 remain

Started: Jan. 2, 2024
Last update: Apr. 12, 2026

Compiled by Gary Barnes
Riesel conjectures
Riesel conjectures powers of 2
Riesel conjecture reservations
Sierpinski conjectures
Sierpinski conjectures powers of 2
Sierpinski conjecture reservations

Testing is coordinated at Mersenneforum Conjectures 'R Us.

19089 k's remaining at n=10K:

62, 94, 122, 178, 216, 229, 242, 292, 349, 353, 356, 371, 411, 426, 448, 467, 502, 667, 684, 698, 712, 726, 739, 766, 768, 777, 899, 938, 953, 962, 976, 1014, 1025, 1077, 1167, 1193, 1236, 1383, 1395, 1426, 1448, 1468, 1503, 1509, 1566, 1604, 1671, 1676, 1813, 1869, 1923, 1937, 2172, 2211, 2222, 2393, 2482, 2526, 2635, 2668, 2724, 2806, 2838, 2933, 3247, 3278, 3408, 3442, 3454, 3482, 3541, 3552, 3561, 3641, 3644, 3694, 3764, 3891, 3984, 4022, 4036, 4068, 4128, 4217, 4248, 4276, 4364, 4378, 4462, 4479, 4523, 4549, 4553, 4646, 4665, 4673, 4694, 4707, 4730, 4828, 4856, 4906, 4924, 5099, 5101, 5134, 5171, 5416, 5617, 5635, 5701, 5843, 5917, 5918, 5969, 6012, 6019, 6072, 6093, 6187, 6256, 6277, 6327, 6365, 6376, 6574, 6618, 6632, 6651, 6753, 6794, 6816, 6851, 7003, 7066, 7083, 7097, 7328, 7342, 7398, 7432, 7567, 7569, 7586, 7703, 7739, 7765, 7773, 7853, 7864, 7866, 7873, 7977, 8007, 8026, 8139, 8158, 8209, 8258, 8322, 8368, 8426, 8459, 8543, 8627, 8636, 8718, 8734, 8751, 8769, 8879, 8903, 8972, 9014, 9026, 9061, 9081, 9302, 9391, 9477, 9528, 9609, 9652, 9719, 9740, 9757, 9789, 9811, 9943, 9945, 9981, 10023, 10214, 10309, 10316, 10401, 10405, 10436, 10452, 10471, 10533, 10538, 10601, 10603, 10729, 10841, 10849, 10862, 10961, 10993, 11007, 11070, 11122, 11185, 11217, 11261, 11268, 11331, 11346, 11360, 11513, 11574, 11593, 11728, 11747, 11761, 11807, 11896, 11910, 11919, 11989, 12017, 12066, 12080, 12120, 12157, 12218, 12253, 12271, 12454, 12462, 12473, 12537, 12601, 12647, 12681, 12689, 12694, 12769, 12836, 12837, 12932, 12946, 12954, 13004, 13151, 13347, 13383, 13421, 13636, 13681, 13691, 13698, 13842, 13896, 14066, 14086, 14167, 14173, 14194, 14276, 14327, 14346, 14397, 14404, 14489, 14983, 15122, 15223, 15343, 15358, 15383, 15398, 15405, 15420, 15473, 15608, 15699, 15746, 15760, 15777, 15846, 15903, 15949, 16000, 16012, 16015, 16068, 16137, 16154, 16162, 16166, 16196, 16208, 16246, 16257, 16266, 16336, 16352, 16363, 16383, 16518, 16519, 16521, 16539, 16546, 16589, 16631, 16663, 16686, 16719, 16735, 16841, 16854, 16901, 16936, 16974, 16997, 17008, 17048, 17189, 17202, 17216, 17339, 17377, 17463, 17492, 17527, 17529, 17631, 17841, 17842, 17853, 17916, 18023, 18058, 18171, 18184, 18248, 18262, 18276, 18293, 18308, 18336, 18342, 18443, 18514, 18532, 18548, 18556, 18597, 18674, 18675, 18689, 18821, 18836, 18913, 18961, 19092, 19109, 19184, 19218, 19288, 19297, 19334, 19388, 19421, 19472, 19483, 19487, 19658, 19736, 19778, 19783, 19836, 19879, 19886, 19892, 19962, 20018, 20046, 20096, 20116, 20236, 20247, 20301, 20389, 20390, 20408, 20418, 20546, 20569, 20576, 20583, 20586, 20600, 20631, 20641, 20646, 20684, 20718, 20798, 20823, 20858, 21106, 21119, 21138, 21155, 21203, 21250, 21343, 21474, 21481, 21541, 21622, 21768, 21789, 21798, 21852, 21916, 22013, 22032, 22199, 22242, 22409, 22517, 22552, 22567, 22574, 22595, 22637, 22648, 22655, 22692, 22788, 22850, 22896, 22921, 23112, 23124, 23161, 23172, 23217, 23372, 23491, 23529, 23546, 23652, 23666, 23673, 23932, 23993, 24008, 24023, 24052, 24078, 24142, 24228, 24302, 24427, 24447, 24534, 24637, 24697, 24708, 24764, 24868, 24916, 24939, 25028, 25046, 25240, 25266, 25306, 25319, 25352, 25366, 25374, 25432, 25449, 25483, 25489, 25542, 25567, 25574, 25604, 25625, 25637, 25665, 25742, 25751, 25759, 25830, 25885, 26031, 26113, 26133, 26232, 26278, 26283, 26309, 26379, 26429, 26486, 26501, 26596, 26622, 26627, 26640, 26644, 26901, 26919, 26981, 27000, 27012, 27016, 27032, 27068, 27074, 27087, 27111, 27132, 27165, 27194, 27208, 27247, 27303, 27396, 27481, 27519, 27558, 27569, 27594, 27977, 27992, 27994, 28033, 28047, 28071, 28157, 28192, 28304, 28366, 28431, 28454, 28514, 28552, 28566, 28663, 28698, 28705, 28706, 28976, 28977, 29009, 29018, 29053, 29070, 29083, 29123, 29140, 29158, 29181, 29217, 29267, 29293, 29354, 29356, 29368, 29382, 29399, 29438, 29497, 29713, 29758, 29783, 29821, 29894, 29928, 30047, 30068, 30084, 30147, 30154, 30194, 30222, 30224, 30252, 30306, 30365, 30399, 30533, 30554, 30561, 30568, 30574, 30577, 30595, 30624, 30637, 30673, 30700, 30791, 30806, 30829, 30883, 30959, 30973, 31077, 31129, 31211, 31253, 31301, 31312, 31357, 31433, 31440, 31463, 31484, 31506, 31632, 31767, 31773, 31869, 31974, 31984, 32007, 32016, 32100, 32163, 32174, 32276, 32317, 32368, 32463, 32673, 32696, 32700, 32826, 32877, 32881, 32976, 33123, 33134, 33141, 33192, 33200, 33206, 33325, 33347, 33456, 33626, 33634, 33692, 33745, 33783, 33789, 33941, 34053, 34088, 34116, 34193, 34227, 34275, 34298, 34359, 34383, 34436, 34439, 34526, 34548, 34612, 34620, 34742, 34764, 34772, 34809, 34842, 34898, 34901, 34914, 34921, 34929, 35024, 35028, 35037, 35097, 35110, 35143, 35212, 35284, 35391, 35556, 35634, 35654, 35683, 35749, 35804, 35866, 35874, 35878, 36013, 36034, 36049, 36111, 36198, 36214, 36328, 36427, 36472, 36622, 36636, 36640, 36658, 36678, 36681, 36692, 36696, 36781, 36802, 36952, 37007, 37012, 37068, 37152, 37182, 37259, 37292, 37418, 37435, 37446, 37469, 37474, 37588, 37589, 37631, 37649, 37708, 37714, 37763, 37835, 37866, 37912, 37925, 37932, 37957, 37967, 38026, 38066, 38071, 38128, 38213, 38279, 38634, 38673, 38704, 38722, 38727, 38730, 38961, 38965, 38968, 39038, 39069, 39113, 39122, 39126, 39151, 39167, 39203, 39282, 39311, 39338, 39346, 39399, 39422, 39436, 39437, 39483, 39616, 39728, 39749, 39777, 39812, 39899, 39927, 39948, 39996, 40017, 40036, 40058, 40104, 40164, 40211, 40222, 40234, 40246, 40267, 40296, 40365, 40484, 40509, 40606, 40617, 40689, 40771, 40809, 40851, 40862, 40864, 40924, 40960, 40981, 40983, 40984, 41004, 41060, 41116, 41165, 41222, 41245, 41369, 41384, 41438, 41498, 41501, 41532, 41579, 41628, 41666, 41718, 41887, 41898, 41964, 42006, 42061, 42096, 42187, 42193, 42220, 42307, 42383, 42397, 42635, 42726, 42768, 42772, 42794, 42797, 42809, 42882, 43167, 43214, 43259, 43336, 43340, 43364, 43366, 43438, 43452, 43466, 43489, 43573, 43634, 43692, 43724, 43733, 43763, 43795, 43881, 43991, 44098, 44159, 44201, 44243, 44387, 44470, 44532, 44593, 44686, 44758, 44763, 44778, 44810, 44911, 45036, 45163, 45247, 45289, 45349, 45555, 45625, 45673, 45748, 45981, 46019, 46052, 46086, 46098, 46164, 46182, 46264, 46290, 46343, 46479, 46486, 46492, 46657, 46681, 46824, 46871, 46892, 46927, 46941, 46964, 46995, 46996, 47038, 47088, 47131, 47207, 47242, 47252, 47304, 47406, 47486, 47528, 47561, 47699, 47739, 47827, 47890, 47976, 48072, 48141, 48172, 48256, 48282, 48314, 48323, 48362, 48366, 48435, 48457, 48476, 48597, 48641, 48648, 48683, 48778, 48936, 48975, 49034, 49164, 49237, 49257, 49409, 49420, 49453, 49535, 49607, 49702, 49717, 49747, 49768, 49902, 49920, 49924, 49925, 49971, 50034, 50077, 50079, 50147, 50177, 50221, 50342, 50343, 50368, 50394, 50438, 50496, 50573, 50628, 50685, 50693, 50741, 50748, 50817, 50837, 50851, 50882, 50947, 51173, 51252, 51266, 51273, 51303, 51308, 51334, 51351, 51364, 51366, 51397, 51413, 51449, 51453, 51469, 51516, 51642, 51768, 51812, 52002, 52078, 52113, 52262, 52269, 52321, 52498, 52507, 52517, 52689, 52736, 52785, 52916, 52933, 52973, 52998, 53009, 53017, 53018, 53083, 53129, 53237, 53279, 53301, 53303, 53417, 53528, 53564, 53588, 53706, 53714, 53728, 53938, 54004, 54029, 54032, 54047, 54141, 54148, 54149, 54199, 54310, 54403, 54434, 54436, 54456, 54463, 54491, 54541, 54557, 54594, 54637, 54668, 54682, 54776, 54788, 54892, 54939, 54941, 55023, 55026, 55044, 55051, 55067, 55264, 55277, 55396, 55494, 55571, 55585, 55599, 55606, 55653, 55723, 55865, 55971, 55982, 56009, 56062, 56066, 56187, 56251, 56265, 56341, 56596, 56598, 56612, 56619, 56642, 56801, 56838, 56850, 56856, 56873, 56878, 56993, 57001, 57027, 57069, 57119, 57126, 57133, 57147, 57207, 57224, 57280, 57314, 57369, 57382, 57551, 57594, 57647, 57657, 57672, 57714, 57762, 57791, 57833, 57958, 58077, 58110, 58120, 58128, 58187, 58219, 58322, 58470, 58484, 58495, 58504, 58526, 58582, 58677, 58679, 58718, 58726, 58749, 58803, 58863, 58868, 58967, 59009, 59022, 59155, 59202, 59232, 59282, 59289, 59324, 59351, 59393, 59408, 59483, 59517, 59673, 59691, 59784, 59881, 59914, 60017, 60023, 60072, 60142, 60161, 60294, 60318, 60403, 60423, 60583, 60597, 60604, 60640, 60723, 60744, 60793, 60794, 60812, 60934, 60964, 61053, 61078, 61176, 61191, 61207, 61223, 61256, 61316, 61347, 61536, 61655, 61673, 61717, 61739, 61841, 61874, 61876, 61891, 61936, 61943, 61949, 62046, 62051, 62061, 62074, 62081, 62176, 62261, 62292, 62326, 62347, 62422, 62478, 62592, 62597, 62613, 62711, 62718, 62726, 62817, 62831, 62866, 62891, 62994, 63007, 63062, 63124, 63163, 63234, 63391, 63411, 63486, 63523, 63577, 63703, 63710, 63775, 63791, 63822, 63832, 63936, 64027, 64132, 64154, 64166, 64189, 64231, 64242, 64327, 64417, 64437, 64441, 64479, 64563, 64636, 64648, 64748, 64792, 64913, 64928, 64979, 65124, 65141, 65260, 65358, 65399, 65457, 65579, 65607, 65789, 65897, 65980, 66141, 66146, 66183, 66204, 66307, 66324, 66337, 66398, 66556, 66568, 66615, 66629, 66678, 66732, 66736, 66741, 66751, 66772, 66937, 66958, 66981, 67000, 67192, 67226, 67266, 67289, 67296, 67297, 67421, 67542, 67553, 67572, 67583, 67602, 67609, 67613, 67667, 67679, 67711, 67724, 67731, 67831, 67843, 67996, 67997, 68114, 68151, 68354, 68395, 68428, 68514, 68559, 68587, 68696, 68698, 68743, 68764, 68779, 68813, 68823, 68857, 68904, 68928, 68956, 68967, 68974, 69023, 69054, 69209, 69263, 69324, 69327, 69361, 69394, 69423, 69431, 69467, 69601, 69628, 69654, 69656, 69757, 69772, 69856, 69884, 69907, 69921, 69977, 70012, 70017, 70042, 70083, 70111, 70426, 70517, 70538, 70571, 70579, 70719, 70738, 70739, 70831, 70932, 70934, 70958, 71001, 71013, 71067, 71137, 71187, 71192, 71238, 71296, 71363, 71413, 71447, 71466, 71504, 71532, 71627, 71726, 71839, 71858, 71991, 72036, 72089, 72096, 72166, 72189, 72201, 72224, 72287, 72302, 72376, 72377, 72427, 72441, 72492, 72496, 72530, 72533, 72539, 72544, 72598, 72617, 72621, 72629, 72805, 72828, 72883, 72930, 72936, 73006, 73022, 73029, 73034, 73035, 73036, 73092, 73156, 73317, 73519, 73548, 73653, 73860, 73869, 73883, 74121, 74126, 74151, 74194, 74203, 74254, 74268, 74282, 74392, 74458, 74507, 74521, 74527, 74631, 74828, 74842, 74905, 74919, 74992, 75121, 75235, 75283, 75316, 75330, 75437, 75632, 75633, 75743, 75759, 75855, 75906, 75942, 75949, 75953, 75974, 76026, 76058, 76068, 76096, 76106, 76137, 76284, 76292, 76305, 76398, 76401, 76457, 76597, 76606, 76639, 76656, 76676, 76684, 76686, 76723, 76729, 76733, 76782, 76817, 77019, 77073, 77096, 77208, 77211, 77243, 77304, 77337, 77567, 77600, 77614, 77623, 77948, 78062, 78154, 78182, 78217, 78231, 78242, 78259, 78277, 78279, 78292, 78359, 78399, 78461, 78507, 78515, 78562, 78571, 78580, 78671, 78875, 78966, 78987, 79048, 79052, 79061, 79077, 79096, 79231, 79263, 79352, 79378, 79470, 79504, 79567, 79701, 79831, 79868, 79903, 79933, 79949, 79987, 80111, 80207, 80274, 80281, 80288, 80356, 80401, 80537, 80556, 80560, 80561, 80568, 80576, 80650, 80681, 80753, 80776, 80792, 80849, 80856, 80871, 80940, 80979, 81044, 81066, 81080, 81231, 81247, 81309, 81402, 81427, 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89339, 89393, 89407, 89431, 89493, 89549, 89577, 89605, 89700, 89715, 89737, 89743, 89745, 89799, 89808, 89836, 89893, 89912, 89927, 90067, 90109, 90317, 90373, 90382, 90482, 90562, 90571, 90675, 90751, 90800, 90809, 90824, 90849, 90890, 90977, 91054, 91068, 91077, 91082, 91269, 91311, 91334, 91489, 91542, 91552, 91593, 91637, 91660, 91874, 91971, 92238, 92256, 92336, 92377, 92384, 92552, 92613, 92649, 92674, 92683, 92718, 92748, 92769, 92812, 92826, 92881, 92916, 92930, 92958, 93089, 93105, 93134, 93169, 93203, 93225, 93266, 93301, 93302, 93364, 93650, 93701, 93742, 93756, 93763, 93783, 93833, 93861, 93908, 93925, 93928, 94003, 94022, 94038, 94057, 94212, 94214, 94233, 94258, 94272, 94274, 94279, 94331, 94569, 94596, 94618, 94706, 94734, 94771, 94804, 94852, 94891, 94916, 94937, 94969, 95093, 95191, 95198, 95212, 95290, 95352, 95416, 95464, 95466, 95570, 95609, 95618, 95828, 95867, 95898, 95917, 95968, 95996, 96003, 96029, 96092, 96104, 96124, 96218, 96318, 96500, 96634, 96652, 96785, 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