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Cullen prime table
Overview
Automatically generated table from available Cullen primes.
Explanations
The colors used in the table are defined as:
- : Base is reserved
- : Base is not reserved
Primes table
There are 191 bases:
| Base | max n | Date | # | Primes for n |
|---|---|---|---|---|
| 2 | 25000000 | 2024-10-25 PrimeGrid Cullen Prime Search |
16 | 1, 141, 4713, 5795, 6611, 18496, 32292, 32469, 59656, 90825, 262419, 361275, 481899, 1354828, 6328548, 6679881 |
| 3 | 5000000 | 2024-10-25 | 17 | 2, 8, 32, 54, 114, 414, 1400, 1850, 2848, 4874, 7268, 19290, 337590, 1183414, 1308596, 2220172, 9145334 |
| 4 | 2000000 | 2024-10-25 | 14 | 1, 3, 7, 33, 67, 223, 663, 912, 1383, 3777, 3972, 10669, 48375, 1740349 |
| 5 | 2000000 | 2024-10-25 | 3 | 1242, 18390, 5778486 |
| 6 | 2000000 | 2024-10-25 Ryan Propper |
20 | 1, 2, 91, 185, 387, 488, 747, 800, 9901, 10115, 12043, 13118, 30981, 51496, 515516, 1644731, 2240501, 4392300, 4450871, 4582770 |
| 7 | 2000000 | 2024-10-25 | 4 | 34, 1980, 9898, 474280 |
| 8 | 800000 | 2024-10-25 | 8 | 5, 17, 23, 1911, 20855, 35945, 42816, 749130 |
| 9 | 500000 | 2024-10-25 | 5 | 2, 12382, 27608, 31330, 117852 |
| 10 | 500000 | 2024-10-25 | 11 | 1, 3, 9, 21, 363, 2161, 4839, 49521, 105994, 207777, 403765 |
| 11 | 600000 | 2024-10-25 Oliver Kruse |
1 | 10 |
| 12 | 256588 | 2024-10-25 | 8 | 1, 8, 247, 3610, 4775, 19789, 187895, 345951 |
| 13 | 5982546 | 2024-10-27 PrimeGrid |
0 | |
| 14 | 2000000 | 2024-10-25 | 16 | 3, 5, 6, 9, 33, 45, 243, 252, 1798, 2429, 5686, 12509, 42545, 1198433, 1486287, 1909683 |
| 15 | 1500000 | 2024-10-25 | 10 | 8, 14, 44, 154, 274, 694, 17426, 59430, 451554, 551878 |
| 16 | 1000000 | 2024-10-25 | 8 | 1, 3, 55, 81, 223, 1227, 3012, 3301 |
| 17 | 1000000 | 2024-10-25 | 3 | 19650, 236418, 811138 |
| 18 | 1000000 | 2024-10-25 | 16 | 1, 3, 21, 23, 842, 1683, 3401, 16839, 49963, 60239, 150940, 155928, 219525, 342091, 353901, 612497 |
| 19 | 1000000 | 2024-10-25 | 1 | 6460 |
| 20 | 1000000 | 2024-10-25 | 9 | 3, 6207, 8076, 22356, 151456, 329994, 364595, 793181, 993149 |
| 21 | 277711 | 2024-10-25 | 4 | 2, 8, 26, 67100 |
| 22 | 200000 | 2024-10-25 Riley Fisher |
6 | 1, 15, 189, 814, 19909, 72207 |
| 23 | 400000 | 2023-06-05 | 2 | 4330, 89350 |
| 24 | 200000 | 2023-04-27 | 3 | 2, 8, 368 |
| 25 | 2809620 | 2019-09 | 1 | 2805222 |
| 26 | 200000 | 2023-04-27 | 6 | 117, 3143, 3886, 7763, 64020, 88900 |
| 27 | 215413 | 2023-04-23 | 6 | 2, 56, 23454, 259738, 312498, 437960 |
| 28 | 224108 | 2024-10-25 | 6 | 1, 48, 468, 2655, 3741, 49930 |
| 29 | 4557047 | 2024-10-27 PrimeGrid |
0 | |
| 30 | 200000 | 2024-10-25 | 22 | 1, 2, 3, 7, 14, 17, 39, 79, 87, 99, 128, 169, 221, 252, 307, 3646, 6115, 19617, 49718, 107263, 152520, 154164 |
| 31 | 400000 | 2023-05-24 | 1 | 82960 |
| 32 | 200000 | 2024-10-25 | 1 | 5 |
| 33 | 200000 | 2023-05-01 | 5 | 2, 632, 1840, 91848, 164196 |
| 34 | 200000 | 2023-05-01 | 6 | 25, 33, 103, 195, 303, 415 |
| 35 | 200000 | 2023-05-01 | 2 | 304, 19116 |
| 36 | 200000 | 2023-05-01 | 11 | 1, 2, 3, 8, 191, 1256, 6788, 22195, 23335, 29481, 191013 |
| 37 | 259437 | 2023-04-30 | 1 | 36 |
| 38 | 1500000 | 2024-10-25 | 4 | 3, 1209, 430157, 884411 |
| 39 | 224467 | 2024-10-25 | 3 | 368, 402, 36592 |
| 40 | 200000 | 2023-05-07 | 4 | 1, 202, 74844, 88195 |
| 41 | 1810126 | 2018-03-11 | 1 | 1806676 |
| 42 | 200000 | 2024-10-25 | 9 | 1, 2, 11, 20, 8301, 14421, 25849, 37208, 52296 |
| 43 | 200000 | 2023-05-07 | 1 | 390 |
| 44 | 200000 | 2023-05-07 | 1 | 53 |
| 45 | 200000 | 2023-05-07 | 3 | 2, 8, 84 |
| 46 | 200000 | 2023-05-07 | 5 | 1, 813, 1576, 116016, 129426 |
| 47 | 3985542 | 2024-10-27 PrimeGrid |
0 | |
| 48 | 200000 | 2023-05-07 | 10 | 3, 9, 14, 79, 114, 182, 9328, 13569, 60261, 111571 |
| 49 | 3942866 | 2024-10-27 PrimeGrid |
0 | |
| 50 | 200000 | 2023-05-07 | 4 | 9665, 11844, 92278, 176961 |
| 51 | 229191 | 2023-05-08 | 6 | 62, 1376, 10108, 29726, 65816, 136628 |
| 52 | 200000 | 2023-05-31 | 4 | 1, 168, 38559, 195522 |
| 53 | 1360054 | 2017-08-21 | 1 | 1341174 |
| 54 | 200000 | 2023-05-31 | 4 | 3, 8, 29, 11270 |
| 55 | 3829211 | 2024-10-27 PrimeGrid |
0 | |
| 56 | 200000 | 2023-05-31 | 2 | 1072, 31265 |
| 57 | 200000 | 2023-05-31 | 4 | 234, 470, 1670, 1898 |
| 58 | 204399 | 2023-05-31 | 8 | 1, 3, 34, 181, 252, 1135, 2139, 4510 |
| 59 | 200000 | 2023-05-31 | 2 | 220, 74460 |
| 60 | 1500000 | 2023-05-18 | 14 | 1, 9, 13, 113, 167, 202, 445, 518, 3522, 7423, 70615, 127441, 231158, 326342 |
| 61 | 300000 | 2023-05-10 | 2 | 142, 76710 |
| 62 | 200000 | 2023-06-03 | 3 | 1295, 7107, 43379 |
| 63 | 200000 | 2023-06-03 | 3 | 8, 50, 54398 |
| 64 | 200000 | 2023-06-03 | 4 | 3, 399, 7813, 14253 |
| 65 | 200000 | 2023-06-03 | 1 | 16990 |
| 66 | 200000 | 2023-06-03 | 9 | 1, 2, 158, 257, 1016, 2543, 3396, 3801, 81778 |
| 67 | 200000 | 2023-06-03 | 2 | 474, 52932 |
| 68 | 200000 | 2023-06-03 | 2 | 129897, 195875 |
| 69 | 3624124 | 2024-10-27 PrimeGrid |
0 | |
| 70 | 200000 | 2023-06-13 | 9 | 1, 3, 13, 5928, 10585, 18157, 20155, 36534, 87384 |
| 71 | 200000 | 2023-06-13 | 1 | 13948 |
| 72 | 200000 | 2023-06-13 | 10 | 1, 2, 35, 119, 274, 607, 3185, 14360, 25201, 132339 |
| 73 | 2531554 | 2021-09 | 1 | 2525532 |
| 74 | 200000 | 2023-06-13 | 3 | 3, 15, 26770 |
| 75 | 200000 | 2023-06-13 | 1 | 2 |
| 76 | 200000 | 2023-06-13 | 3 | 1161, 5401, 15516 |
| 77 | 200000 | 2023-06-13 | 1 | 12198 |
| 78 | 200000 | 2023-06-13 | 5 | 1, 25, 105, 254, 10671 |
| 79 | 692232 | 2016-10-08 | 1 | 682156 |
| 80 | 200000 | 2023-06-28 | 5 | 5, 273, 3273, 23074, 59871 |
| 81 | 280000 | 2023-05-14 | 4 | 350, 73272, 126042, 178192 |
| 82 | 200000 | 2023-06-28 | 4 | 1, 1407, 22515, 177015 |
| 83 | 200000 | 2023-06-28 | 1 | 1242 |
| 84 | 200000 | 2023-06-28 | 3 | 26, 59215, 128867 |
| 85 | 200000 | 2023-06-28 | 3 | 186, 1134, 39496 |
| 86 | 200000 | 2023-06-28 | 6 | 3, 17, 45, 267, 117172, 198291 |
| 87 | 224455 | 2023-05-14 | 3 | 2, 118, 34150 |
| 88 | 200000 | 2023-06-28 | 3 | 1, 411, 1191 |
| 89 | 282809 | 2023-05-14 | 1 | 298 |
| 90 | 200000 | 2023-07-14 | 6 | 14, 514, 587, 27419, 49527, 188701 |
| 91 | 272459 | 2023-05-14 | 1 | 101670 |
| 92 | 200000 | 2023-07-14 | 4 | 9, 252, 3900, 9215 |
| 93 | 227757 | 2023-05-14 | 4 | 2, 3332, 5642, 183500 |
| 94 | 200000 | 2023-07-14 | 5 | 775, 1207, 3277, 11169, 114903 |
| 95 | 200000 | 2023-07-14 | 3 | 202, 370, 18258 |
| 96 | 200000 | 2023-07-14 | 7 | 1, 2, 3, 8, 16350, 43895, 143717 |
| 97 | 200000 | 2023-07-14 | 1 | 1374 |
| 98 | 209756 | 2023-05-14 | 6 | 63, 622, 1125, 4517, 25830, 174885 |
| 99 | 200000 | 2023-07-14 | 6 | 2, 332, 21868, 26982, 31328, 138846 |
| 100 | 165295 | 2023-05-14 | 7 | 1, 427, 2475, 21369, 72048, 98035, 316903 |
| 101 | 3324924 | 2024-10-27 PrimeGrid |
0 | |
| 102 | 100000 | 2023-07-31 | 8 | 1, 2, 20, 4573, 5534, 16265, 25442, 93667 |
| 103 | 100000 | 2015-12 | 1 | 9054 |
| 104 | 100000 | 2015-12 | 2 | 23, 61012 |
| 105 | 100000 | 2015-12 | 6 | 2, 434, 632, 798, 57728, 91746 |
| 106 | 200000 | 2011 | 2 | 1, 3 |
| 107 | 100000 | 2015-12 | 2 | 34, 390 |
| 108 | 100000 | 2015-12 | 9 | 1, 41, 54, 176, 830, 2721, 2958, 9763, 37558 |
| 109 | 3270899 | 2024-10-27 PrimeGrid |
0 | |
| 110 | 100000 | 2015-12 | 2 | 3155, 17532 |
| 111 | 100000 | 2015-12 | 3 | 26, 36, 1142 |
| 112 | 100000 | 2015-12 | 6 | 1, 319, 3334, 7765, 9189, 11094 |
| 113 | 427194 | 2012-01-29 | 1 | 427194 |
| 114 | 100000 | 2015-12 | 9 | 7, 9, 53, 163, 1850, 7163, 8438, 11036, 15746 |
| 115 | 200000 | 2011 | 1 | 24 |
| 116 | 1325238 | 2018-01-18 | 1 | 1323365 |
| 117 | 200000 | 2008-02-03 | 1 | 177482 |
| 118 | 100000 | 2015-12 | 2 | 3748, 38382 |
| 119 | 100000 | 2015-12 | 2 | 4168, 11100 |
| 120 | 100000 | 2015-12 | 8 | 3, 7, 15, 24, 94, 574, 1927, 74662 |
| 121 | 3199666 | 2024-10-27 PrimeGrid |
0 | |
| 122 | 100000 | 2015-12 | 4 | 9, 114, 3191, 3513 |
| 123 | 100000 | 2015-12 | 5 | 2, 194, 260, 4682, 15022 |
| 124 | 100000 | 2015-12 | 1 | 517 |
| 125 | 100000 | 2015-12 | 4 | 144, 354, 96436, 109104 |
| 126 | 100000 | 2015-12 | 3 | 1, 3057, 7580 |
| 127 | 400254 | 2023-05-22 | 1 | 400254 |
| 128 | 200000 | 2008 | 4 | 9, 35, 561, 7749 |
| 129 | 100000 | 2015-12 | 5 | 118, 632, 17786, 40330, 43060 |
| 130 | 100000 | 2015-12 | 8 | 1, 31, 184, 4318, 4774, 27784, 56469, 83017 |
| 131 | 100000 | 2015-12 | 1 | 10990 |
| 132 | 100000 | 2015-12 | 9 | 2, 10, 107, 147, 248, 2159, 3987, 10182, 10535 |
| 133 | 200000 | 2011 | 1 | 48 |
| 134 | 200000 | 2011 | 2 | 15, 33 |
| 135 | 170000 | 2011 | 2 | 2, 8 |
| 137 | 300000 | 2013 | 0 | |
| 139 | 300000 | 2013 | 0 | |
| 143 | 110000 | 2011 | 2 | 10, 12 |
| 145 | 100000 | 2015-12 | 1 | 64872 |
| 146 | 300000 | 2013 | 0 | |
| 149 | 300000 | 2013 | 0 | |
| 151 | 300000 | 2013 | 1 | 139948 |
| 153 | 100000 | 2015-12 | 2 | 2, 68 |
| 159 | 300000 | 2013 | 1 | 292402 |
| 160 | 100000 | 2015-12 | 3 | 24, 3826, 14232 |
| 161 | 200000 | 2013 | 1 | 6 |
| 167 | 180000 | 2013 | 1 | 114 |
| 169 | 300000 | 2013 | 0 | |
| 171 | 300000 | 2013 | 0 | |
| 173 | 100000 | 2024-10-19 | 1 | 2230 |
| 179 | 300000 | 2013 | 0 | |
| 189 | 200000 | 2013 | 1 | 2 |
| 191 | 290000 | 2013 | 0 | |
| 193 | 200000 | 2011 | 0 | |
| 194 | 200000 | ? | 1 | 113 |
| 198 | 200000 | 2013 | 3 | 1, 19, 122095 |
| 199 | 200000 | 2013 | 1 | 118 |
| 200 | 100000 | 2015-12 | 6 | 3, 21, 29, 305, 2494, 72358 |
| 202 | 100000 | 2023-04-17 | 1 | 28968 |
| 207 | 100000 | 2023-04-19 | 1 | 17780 |
| 209 | 100000 | 2023-04-19 | 1 | 47518 |
| 211 | 100000 | 2023-04-22 | 2 | 26608, 269328 |
| 215 | 150000 | 2023-04-29 | 0 | |
| 223 | 148000 | 2023-04-29 | 0 | |
| 225 | 100000 | 2023-05-04 | 0 | |
| 227 | 100000 | 2023-05-06 | 0 | |
| 229 | 100000 | 2023-10-20 | 0 | |
| 231 | 100000 | 2023-05-10 | 0 | |
| 235 | 100000 | 2023-05-14 | 1 | 63942 |
| 239 | 100000 | 2023-05-16 | 0 | |
| 241 | 100000 | 2023-05-18 | 0 | |
| 251 | 100000 | 2023-05-20 | 0 | |
| 253 | 100000 | 2023-05-22 | 0 | |
| 254 | 100000 | 2023-05-28 | 1 | 18508 |
| 256 | 650000 | 2021 | 6 | 1, 57, 1641, 2076, 6040, 371400 |
| 259 | 100000 | 2023-06-02 | 0 | |
| 261 | 100000 | 2023-06-06 | 0 | |
| 263 | 100000 | 2023-06-08 | 0 | |
| 265 | 100000 | 2023-06-17 | 1 | 49302 |
| 267 | 100000 | 2023-06-17 | 0 | |
| 269 | 100000 | 2023-06-17 | 0 | |
| 271 | 100000 | 2023-07-02 | 0 | |
| 272 | 100000 | 2023-07-02 | 0 | |
| 275 | 100000 | 2023-07-02 | 0 | |
| 277 | 100000 | 2023-07-02 | 0 | |
| 484 | 100000 | 2024-10-26 | 4 | 9, 25, 5535, 14835 |
| 512 | 600000 | 2021 | 3 | 9, 75, 56271 |
| 1024 | 500000 | 2020 | 2 | 3, 29650 |
| 8192 | 400000 | 2018 | 1 | 298989 |
| 16384 | 400000 | 2020 | 3 | 1963, 94189, 222216 |
| 32768 | 350000 | 2020 | 2 | 5, 51359 |
| 131072 | 300000 | 2020 | 3 | 5, 18825, 809698 |
