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Proth primes of the form k•2n+1, 300 < k < 2000

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Overview

Automatically generated table from available Proth primes 300 < k < 2000.

Explanations

The colors used in the table are defined as:

 
 : k-value is reserved
 
 : k-value is not reserved

Primes table

There are 27 sequences:

k Type Date max n Nash # Primes for n
301 2021-08-15
PrimeGrid Proth Prime Search (MR1)
3,070,000 1328 25 4, 184, 344, 352, 392, 1060, 2452, 7360, 9736, 10324, 21316, 22752, 27272, 27744, 28068, 55628, 72864, 88472, 95872, 124628, 218584, 424448, 517960, 880792, 1455620
311 2021-08-15
PrimeGrid Proth Prime Search (MR1)
3,070,000 1216 17 9, 29, 35, 105, 125, 131, 179, 359, 2735, 28199, 47349, 64485, 1094135, 1171199, 1323071, 2798459, 3037565
345 315 2021-08-15
PrimeGrid Proth Prime Search (MR1)
3,070,000 4308 89 1, 2, 4, 8, 9, 11, 15, 18, 20, 24, 30, 40, 47, 87, 88, 150, 154, 166, 195, 264, 360, 412, 438, 546, 569, 621, 625, 778, 814, 1041, 1189, 1302, 1356, 1397, 1465, 1541, 1549, 1568, 3246, 6557, 6627, 9477, 10552, 12744, 13515, 14850, 15951, 18378, 18456, 27705, 27719, 27815, 30165, 32121, 41780, 43276, 48136, 49048, 62526, 79172, 87977, 103500, 144054, 155708, 161261, 180726, 181434, 194562, 213060, 261455, 441719, 442566, 459204, 525977, 613086, 633911, 808726, 838479, 958896, 1010394, 1039566, 1051282, 1335896, 1441905, 2042295, 2405701, 2792269, 3027769, 3532957
355 Low 2021-08-15
PrimeGrid Proth Prime Search (MR1)
3,070,000 967 22 6, 12, 24, 34, 46, 138, 174, 816, 1164, 1668, 1704, 5334, 10126, 11340, 13818, 18564, 82968, 202986, 241368, 285492, 1482390, 3027372
373 Low 2021-08-15
PrimeGrid Proth Prime Search (MR1)
3,070,000 868 25 2, 6, 14, 36, 62, 92, 122, 292, 758, 4436, 5526, 11066, 14076, 17036, 23618, 25412, 33692, 61358, 71018, 92156, 158476, 334026, 641606, 3036746, 3404702
389 2021-08-15
PrimeGrid Proth Prime Search (MR1)
3,070,000 1097 20 11, 57, 59, 115, 299, 347, 715, 3845, 5157, 16945, 27949, 66379, 142649, 233985, 572625, 976169, 1186577, 1824385, 2916499, 3019025
417 3 2021-08-15
PrimeGrid Proth Prime Search (MR1)
3,070,000 3454 75 2, 4, 7, 8, 11, 12, 15, 16, 19, 24, 28, 51, 59, 62, 63, 64, 75, 79, 132, 338, 355, 518, 692, 806, 1287, 1618, 1803, 2715, 2743, 2834, 3055, 3255, 3323, 4067, 5255, 6094, 6254, 6796, 7063, 7476, 7787, 8067, 10795, 13342, 14407, 22292, 23132, 27076, 30286, 50486, 54391, 78423, 97375, 130858, 133756, 162292, 170947, 234179, 239956, 276419, 305859, 351632, 435482, 506332, 642156, 828566, 1104563, 1439196, 1759055, 1943755, 2036482, 2284402, 2698652, 3026492, 3029342
435 315 2021-08-15
PrimeGrid Proth Prime Search (MR1)
3,070,000 4603 93 2, 4, 5, 7, 11, 18, 19, 33, 51, 68, 69, 82, 93, 99, 101, 113, 132, 138, 141, 198, 201, 255, 298, 522, 528, 533, 537, 547, 790, 903, 1032, 1195, 1365, 1612, 1725, 2223, 2343, 2398, 3740, 4138, 4315, 6285, 7161, 10401, 13444, 19922, 23030, 26104, 26922, 28617, 29297, 31543, 35370, 56818, 73111, 87221, 88708, 93319, 106800, 107174, 157397, 169192, 170218, 187785, 200455, 235444, 270243, 304661, 342582, 364178, 412858, 440433, 529247, 547893, 565591, 653451, 700257, 748240, 772448, 885602, 1096682, 1177574, 1183997, 1239504, 1402809, 1908579, 2327152, 2329948, 2378522, 2473905, 2831709, 2997453, 3041954
511 Low 2021-08-15
PrimeGrid Proth Prime Search (MR1)
3,070,000 383 6 8, 264, 1392, 317328, 495800, 1777488
513 3 2021-08-15
PrimeGrid Proth Prime Search (MR1)
3,070,000 2665 62 2, 4, 5, 6, 9, 10, 12, 14, 17, 22, 26, 30, 33, 45, 66, 110, 116, 126, 153, 165, 174, 220, 230, 234, 294, 362, 404, 1576, 1625, 1640, 2540, 2936, 3525, 5470, 9736, 11004, 11110, 15652, 19965, 23244, 24341, 48386, 52234, 54021, 74264, 78604, 117992, 136476, 175370, 189156, 193212, 273482, 279213, 337140, 369969, 392925, 797084, 818964, 861512, 1820982, 2135642, 3092705
555 315 2021-08-15
PrimeGrid Proth Prime Search (MR1)
3,070,000 4497 101 2, 3, 5, 6, 9, 14, 16, 17, 18, 20, 27, 33, 44, 48, 52, 60, 62, 65, 73, 84, 99, 112, 132, 184, 189, 217, 282, 360, 365, 412, 444, 553, 588, 739, 756, 1084, 1184, 1686, 1850, 2512, 2678, 5740, 6856, 8306, 8810, 11064, 12110, 12882, 12978, 14088, 16609, 16777, 18447, 18977, 20042, 23114, 25627, 27338, 32840, 33835, 36085, 36602, 78475, 82783, 82819, 98008, 108354, 116258, 125608, 134406, 139535, 151277, 202098, 210377, 266006, 288845, 316039, 343854, 356267, 414830, 461262, 591776, 660664, 750460, 1111663, 1174603, 1257047, 1363577, 1422674, 1593788, 1597517, 1629059, 1679952, 1813556, 1937595, 3016352, 3078792, 3325925, 3393389, 3502765, 3563328
615 315 2021-08-15
PrimeGrid Proth Prime Search (MR1)
3,070,000 2908 62 1, 5, 7, 14, 23, 32, 37, 59, 65, 109, 115, 146, 199, 203, 209, 215, 389, 391, 557, 617, 709, 1049, 1574, 1763, 2273, 2497, 2734, 3389, 3743, 4867, 10982, 11372, 11878, 14989, 18254, 22249, 23039, 26174, 26894, 48179, 52663, 53806, 59153, 80318, 104407, 130664, 142097, 164797, 169022, 177953, 219197, 542783, 575972, 624752, 701305, 832925, 1041203, 1041857, 1298251, 1724209, 2235833, 3019445
639 3 2021-08-15
PrimeGrid Proth Prime Search (MR1)
3,070,000 3560 85 1, 2, 3, 6, 13, 18, 22, 26, 27, 31, 34, 46, 50, 73, 119, 187, 190, 194, 199, 306, 326, 358, 393, 611, 663, 1298, 1314, 1329, 1567, 2067, 2146, 2186, 2591, 2689, 2706, 3138, 3330, 3483, 4509, 4714, 5602, 6679, 6699, 8877, 9409, 10046, 12767, 15154, 19234, 23341, 26631, 32594, 36107, 42922, 58642, 70187, 70342, 72718, 74423, 78731, 84026, 99090, 100426, 107602, 113391, 117607, 144059, 198039, 227574, 247677, 397790, 509058, 623113, 639554, 710709, 782159, 881991, 903407, 1310707, 1848903, 1880451, 1945473, 2740186, 3040438, 3635707
643 2021-08-15
PrimeGrid Proth Prime Search (MR1)
3,070,000 1556 34 4, 10, 14, 40, 74, 124, 280, 346, 410, 604, 806, 2318, 3358, 4508, 4586, 5738, 7174, 13006, 26798, 36940, 38770, 39244, 51500, 59116, 157808, 237350, 318958, 368558, 371354, 782318, 1272644, 2078306, 3030650, 3501974
699 3 2021-08-15
PrimeGrid Proth Prime Search (MR1)
3,070,000 1894 48 1, 2, 5, 10, 13, 31, 38, 41, 85, 119, 125, 199, 202, 218, 263, 295, 311, 470, 674, 782, 1265, 1270, 2231, 2377, 7631, 7822, 13583, 14671, 22303, 46543, 61922, 63913, 75002, 142423, 185770, 420743, 431402, 467839, 570581, 877511, 907870, 1143143, 1200343, 1535678, 1674293, 2175031, 3023263, 3487253
759 3 2021-08-15
PrimeGrid Proth Prime Search (MR1)
3,070,000 2127 39 2, 3, 17, 29, 42, 78, 98, 179, 263, 327, 725, 755, 1107, 1517, 1547, 1590, 2490, 5079, 5378, 6378, 10542, 12803, 15725, 17417, 18690, 24905, 32933, 38195, 38739, 71570, 72173, 87063, 124247, 139427, 347099, 679127, 1319718, 1537049, 3015314
791 2021-08-15
PrimeGrid Proth Prime Search (MR1)
3,070,000 1586 37 1, 3, 27, 31, 49, 81, 91, 105, 193, 243, 483, 577, 715, 889, 937, 2641, 4467, 6289, 10239, 17617, 22825, 29049, 29767, 31071, 56847, 65775, 82865, 116833, 265627, 272353, 286121, 630135, 752311, 1135983, 1885961, 3055695, 3323995
801 3 2021-08-15
PrimeGrid Proth Prime Search (MR1)
3,070,000 1434 32 5, 12, 23, 36, 41, 132, 288, 432, 743, 876, 1181, 1193, 1433, 1845, 2100, 2381, 11316, 12215, 13637, 17397, 17952, 20001, 23220, 87117, 116625, 128207, 448596, 469733, 474900, 485328, 912071, 3036045
869 2021-08-15
PrimeGrid Proth Prime Search (MR1)
3,070,000 1804 38 5, 9, 15, 25, 29, 31, 41, 45, 61, 183, 257, 265, 481, 583, 713, 841, 933, 1095, 1143, 1709, 2383, 2559, 4397, 6233, 12013, 31793, 39679, 53671, 59997, 67165, 73845, 338197, 487791, 1000725, 1062609, 1364737, 1389895, 3030655
875 2021-08-15
PrimeGrid Proth Prime Search (MR1)
3,070,000 1864 37 3, 5, 13, 19, 21, 43, 47, 141, 173, 213, 253, 303, 453, 1815, 4623, 6623, 10779, 16467, 16685, 17711, 24711, 74559, 90347, 129279, 163927, 166795, 195343, 381471, 883743, 1017103, 1163883, 1591229, 1814911, 1818427, 2246363, 3018175, 3063847
915 315 2021-08-15
PrimeGrid Proth Prime Search (MR1)
3,070,000 2802 53 1, 3, 18, 22, 25, 37, 46, 55, 70, 91, 136, 186, 238, 438, 517, 652, 730, 1090, 1108, 1723, 2005, 2550, 2967, 3559, 3856, 3895, 6831, 9139, 11455, 11695, 13393, 16993, 21915, 23079, 23647, 28159, 48211, 58455, 75408, 95977, 100140, 110826, 134308, 143250, 155641, 847246, 1051477, 1686699, 1805031, 2064663, 2135151, 2375923, 3033775
1023 3 2021-08-15
PrimeGrid Proth Prime Search (MR1)
3,070,000 3931 82 2, 4, 9, 13, 14, 16, 32, 33, 81, 101, 124, 242, 272, 301, 380, 453, 469, 533, 612, 929, 1081, 1176, 1749, 1797, 1852, 2318, 2405, 3057, 3408, 3440, 4392, 5032, 6637, 9441, 9688, 11970, 13617, 15182, 15316, 17188, 19036, 33709, 34533, 34557, 34716, 37377, 38862, 43640, 47469, 63265, 109010, 111404, 131188, 132810, 183416, 203604, 216930, 253224, 270093, 287797, 289953, 301580, 358082, 367344, 490681, 550765, 611208, 620205, 641310, 681313, 797786, 868480, 943418, 1068402, 1138576, 1153248, 1177850, 1223814, 1426490, 2012570, 2398601, 2772512
1045 2021-08-15
PrimeGrid Proth Prime Search (MR1)
3,070,000 2182 40 8, 10, 16, 20, 28, 44, 72, 106, 204, 216, 222, 288, 496, 706, 2300, 2626, 2668, 2844, 4506, 4576, 8844, 9302, 10048, 12392, 13376, 13712, 16808, 19454, 44988, 58776, 99676, 128862, 153354, 182346, 278020, 878392, 1233270, 1800784, 1955356, 3037988
1065 315 2021-08-15
PrimeGrid Proth Prime Search (MR1)
3,070,000 4065 79 1, 2, 3, 4, 6, 14, 15, 21, 28, 30, 54, 56, 66, 70, 104, 126, 146, 174, 248, 266, 310, 334, 374, 435, 584, 642, 762, 914, 941, 1244, 1278, 1321, 1443, 2723, 3371, 5582, 6126, 6303, 7703, 9211, 9284, 11111, 11987, 15450, 21521, 28235, 35608,, 36326, 48964, 52346, 53716, 67034, 70690, 81222, 85988, 89130, 139358, 166193, 234488, 242373, 243903, 340231, 364285, 388808, 464242, 535328, 709627, 905518, 1006151, 1679402, 1698303, 1736222, 2113463, 2260193, 2441132, 2975442, 2994154, 3025527, 3447906
1105 2021-08-15
PrimeGrid Proth Prime Search (MR1)
3,070,000 2102 41 2, 4, 8, 20, 28, 34, 40, 52, 62, 128, 136, 148, 220, 538, 790, 1478, 3118, 3184, 3386, 4376, 5986, 9170, 11584, 11870, 17446, 30458, 38954, 58556, 130684, 263320, 281308, 394832, 404584, 622142, 636002, 1065418, 1278476, 1314586, 2171956, 2213846, 3069884
1139 Low 2021-08-15
PrimeGrid Proth Prime Search (MR1)
3,070,000 682 12 9, 13, 91, 331, 529, 2641, 29169, 190753, 630055, 1450029, 2115949, 3079783
1461 3 2021-08-09
PrimeGrid Proth Prime Search Extended (MR25)
1,640,000 1347 31 3, 7, 12, 27, 36, 43, 51, 55, 75, 87, 301, 303, 847, 991, 1131, 1323, 1407, 2971, 4351, 5547, 6951, 20247, 35547, 39660, 41935, 51675, 116460, 127356, 497676, 827871, 3373383
Proth primes