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Proth 3

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Primes table

There are 16 sequences:

k Type Date max n Nash # Primes for n
2 2023-01-08 0 2729 47 1, 2, 4, 5, 6, 9, 16, 17, 30, 54, 57, 60, 65, 132, 180, 320, 696, 782, 822, 897, 1252, 1454, 4217, 5480, 6225, 7842, 12096, 13782, 17720, 43956, 64822, 82780, 105106, 152529, 165896, 191814, 529680, 1074726, 1086112, 1175232, 1277862, 1346542, 3123036, 3648969, 5570081, 6236772, 10852677
4 2020-01-16 1,500,000 1703 28 1, 2, 3, 6, 14, 15, 39, 201, 249, 885, 1005, 1254, 1635, 3306, 3522, 9602, 19785, 72698, 233583, 328689, 537918, 887535, 980925, 1154598, 1499606, 1936890, 2016951, 2143374
6 3 2020-02-14 0 2728 44 1, 3, 4, 5, 8, 15, 16, 29, 53, 56, 59, 64, 131, 179, 319, 695, 781, 821, 896, 1251, 1453, 4216, 5479, 6224, 7841, 12095, 13781, 17719, 43955, 64821, 82779, 105105, 152528, 165895, 191813, 529679, 1074725, 1086111, 1175231, 1277861, 1346541, 3123035, 3648968, 5570080
8 2020-08-08 1,250,000 2226 23 2, 7, 8, 10, 22, 52, 58, 76, 130, 143, 331, 332, 980, 1282, 1655, 4031, 4600, 18880, 89482, 130592, 323860, 872171, 1172480
10 2020-09-13 200,000 2171 33 1, 3, 4, 7, 9, 12, 18, 22, 102, 112, 157, 162, 289, 619, 763, 1389, 1783, 1882, 3294, 3567, 13297, 14932, 18954, 19612, 23598, 33882, 66874, 70546, 86568, 187626, 190738, 1153674, 3550446
14 2020-03-09 100,000 2752 33 1, 2, 3, 18, 22, 26, 27, 33, 39, 57, 62, 94, 145, 246, 390, 398, 402, 571, 690, 906, 1062, 1254, 1367, 1627, 1954, 2409, 3107, 14754, 15378, 24219, 46138, 98883, 161178
16 2020-03-09 100,000 2853 33 3, 4, 5, 12, 24, 36, 77, 195, 296, 297, 533, 545, 644, 884, 932, 1409, 2061, 2453, 2985, 3381, 4980, 5393, 11733, 13631, 14516, 21004, 27663, 32645, 39453, 67055, 90543, 105293, 107448
20 2020-03-09 100,000 3263 31 1, 2, 3, 4, 5, 8, 16, 19, 28, 50, 134, 280, 445, 620, 965, 1349, 1378, 1540, 1967, 2260, 3118, 5440, 5734, 7899, 12172, 13893, 14732, 26902, 27803, 39322, 99349
22 2020-03-09 100,000 3029 42 1, 2, 4, 5, 10, 12, 14, 24, 34, 37, 52, 56, 65, 68, 96, 106, 128, 156, 169, 236, 254, 481, 618, 641, 672, 700, 774, 1274, 1625, 1841, 4650, 6030, 8372, 8760, 9173, 12776, 13873, 25214, 25548, 33834, 72005, 81700
26 2021-03-07
Paul Vanderveen 		1,000,000 3752 59 1, 12, 15, 17, 20, 29, 31, 32, 35, 37, 77, 95, 193, 203, 224, 296, 481, 501, 1069, 1151, 1224, 1248, 1657, 2103, 2121, 2971, 3487, 5433, 8179, 8593, 9804, 10524, 13841, 15943, 21060, 22869, 36691, 38984, 49347, 56257, 67481, 68959, 77393, 107760, 133052, 153841, 165483, 182141, 232935, 250399, 261516, 387984, 404559, 652929, 727825, 1435875, 1565545, 1700041, 1910099
28 2021-03-08
Paul Vanderveen 		100,000 2394 15 3, 4, 8, 11, 14, 15, 18, 495, 2475, 3538, 5188, 34870, 83394, 119016, 149671
32 2021-03-08
Paul Vanderveen 		100,000 2110 23 1, 4, 8, 9, 32, 36, 48, 74, 112, 186, 204, 364, 393, 572, 781, 1208, 2624, 2778, 4522, 4896, 5272, 32884, 144192
34 2021-03-07
Paul Vanderveen 		100,000 2680 34 1, 2, 3, 5, 11, 15, 19, 25, 46, 65, 83, 85, 145, 211, 455, 875, 1001, 1145, 1325, 1486, 2618, 2703, 2733, 3903, 4441, 9921, 10550, 12633, 60919, 101293, 105161, 143069, 1253399, 1334729
38 2021-03-07
Paul Vanderveen 		100,000 1204 12 4, 19, 115, 874, 6586, 8722, 15754, 24235, 84667, 99904, 108875, 113011
40 2021-03-08
Paul Vanderveen 		100,000 2200 34 5, 7, 15, 17, 18, 27, 29, 30, 33, 35, 53, 54, 59, 60, 150, 203, 229, 395, 475, 543, 930, 1095, 1310, 4082, 4100, 5809, 7463, 32807, 33579, 77055, 77162, 103182, 110935, 947604
80 2020-10-26 200,000 3626 35 1, 3, 4, 5, 6, 10, 21, 35, 54, 71, 90, 202, 306, 346, 415, 419, 569, 1925, 3335, 4914, 5073, 5693, 5913, 21576, 34993, 35703, 37378, 47244, 49907, 78407, 117274, 149994, 175025, 198346, 199890
Proth primes
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