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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 2024-09-14 2,000,000 2729 48 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, 11879700
4 2024-09-10
Ryan Propper 		5,000,000 1703 32 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, 4020126, 6402015, 7578378, 9214845
6 3 2024-09-14 2,000,000 2729 47 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, 6236771, 10852676, 11879699
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 2024-09-16 200,000 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 2024-09-16 200,000 2853 34 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, 193684
20 2024-09-16 200,000 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 2024-09-16 200,000 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 2024-08-19 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 2024-09-22 300,000 2394 16 3, 4, 8, 11, 14, 15, 18, 495, 2475, 3538, 5188, 34870, 83394, 119016, 149671, 167190
32 2024-09-16 200,000 2110 24 1, 4, 8, 9, 32, 36, 48, 74, 112, 186, 204, 364, 393, 572, 781, 1208, 2624, 2778, 4522, 4896, 5272, 32884, 144192, 199657
34 2024-09-16 200,000 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 2024-09-16 200,000 1204 12 4, 19, 115, 874, 6586, 8722, 15754, 24235, 84667, 99904, 108875, 113011
40 2024-09-16 200,000 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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