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ModisettPrimes

Here you can download compressed files containing the Modisett primes $\mathcal P_k$, $4\leq k\leq 200$, for noncircular field generated Ferrero pairs. The GAP program to computer the lists is here. Some observations of the data are here.

$k = 4\dots 60$  PK004-060.7z  116 KB 
$k = 61\dots 100$PK061-100.7z2,532 KB 
$k = 101\dots 120$PK101-120.7z2,532 KB 
$k = 121\dots 130$PK121-130.7z2,164 KB 
$k = 131\dots 140$PK131-140.7z2,964 KB 
$k = 141\dots 150$PK141-150.7z3,748 KB 
$k = 151\dots 160$PK151-160.7z5,592 KB 
$k = 161\dots 170$PK161-170.7z7,032 KB 
$k = 171\dots 180$PK171-180.7z9,056 KB 
$k = 181\dots 190$PK181-190.7z11,928 KB 
$k = 191\dots 200$ PK191-200.7z 14,020 KB 

The following is the list for $k=4$ up to $k=32$.

$k$ $\hbox{size of }\mathcal P_k$ $\mathcal P_k$
$k = 4$22, 5
$k = 5$25, 11
$k = 6$52, 3, 7, 13, 19
$k = 7$42, 7, 29, 43
$k = 8$52, 3, 5, 17, 41
$k = 9$73, 19, 37, 73, 109, 127, 271
$k = 10$82, 5, 11, 31, 41, 61, 71, 101
$k = 11$811, 23, 67, 89, 199, 353, 397, 683
$k = 12$152, 3, 5, 7, 13, 17, 19, 37, 61, 73, 97, 109, 157, 181, 193
$k = 13$143, 13, 53, 79, 131, 157, 313, 521, 599, 859, 1301, 1613, 2003, 2731
$k = 14$202, 7, 29, 43, 71, 113, 127, 197, 211, 239, 281, 337, 379, 491, 547, 659, 701, 1051, 1093, 1289
$k = 15$342, 3, 5, 11, 19, 31, 61, 71, 151, 181, 211, 241, 271, 331, 421, 541, 571, 631, 751, 1321, 1381, 1471, 2161, 2251, 2311, 2791, 3121, 3631, 4051, 5701, 5821, 5881, 6871, 46261
$k = 16$242, 3, 5, 7, 17, 23, 41, 97, 113, 193, 241, 257, 337, 353, 401, 433, 449, 577, 593, 641, 881, 1217, 2113, 2129
$k = 17$3417, 103, 137, 239, 307, 409, 443, 613, 647, 919, 953, 1021, 1361, 1429, 1667, 2347, 2857, 3061, 3299, 3469, 3571, 3673, 5849, 8501, 9283, 10949, 12037, 15641, 17783, 19381, 25229, 26317, 34919, 43691
$k = 18$312, 3, 7, 13, 19, 37, 73, 109, 127, 163, 181, 199, 271, 307, 379, 397, 433, 487, 523, 541, 577, 613, 739, 757, 811, 1117, 1459, 2179, 2269, 2287, 5779
$k = 19$547, 11, 19, 191, 229, 419, 457, 571, 647, 761, 1103, 1483, 1559, 1597, 1787, 1901, 2053, 2243, 2281, 2699, 3877, 4409, 4447, 4561, 4637, 4903, 6803, 6841, 7639, 8741, 8969, 9349, 14251, 14783, 15391, 16189, 30781, 31883, 34847, 40129, 40433, 48109, 53657, 54949, 56431, 63689, 73721, 83639, 92189, 98573, 107123, 130873, 140069, 174763
$k = 20$582, 3, 5, 11, 29, 31, 41, 61, 71, 101, 181, 241, 281, 401, 421, 461, 521, 541, 601, 641, 661, 701, 761, 821, 881, 941, 1021, 1061, 1181, 1201, 1301, 1321, 1361, 1381, 1481, 1601, 1621, 1721, 1741, 1861, 1901, 2081, 2441, 3041, 3121, 3221, 3461, 4561, 5021, 5081, 6221, 6661, 6961, 7321, 8161, 8681, 13721, 23321
$k = 21$932, 3, 7, 13, 29, 43, 71, 97, 127, 211, 337, 379, 421, 463, 547, 631, 673, 757, 883, 967, 1009, 1051, 1093, 1303, 1429, 1471, 1597, 1723, 1933, 2269, 2437, 2521, 2647, 2689, 2857, 3109, 3319, 3361, 3571, 3613, 3697, 3739, 3823, 3907, 4159, 4201, 4243, 4789, 5419, 5503, 5839, 6007, 6301, 6553, 6763, 7477, 8737, 9157, 9199, 9829, 10753, 12391, 12853, 14449, 15877, 16381, 18691, 19699, 21379, 22303, 23773, 29443, 30493, 35407, 36037, 40111, 53593, 56827, 60901, 84631, 86353, 91309, 106303, 126001, 127807, 129193, 249859, 302317, 340369, 360277, 385141, 451753, 8171731
$k = 22$592, 3, 11, 23, 67, 89, 199, 331, 353, 397, 419, 463, 617, 661, 683, 727, 859, 881, 947, 991, 1013, 1123, 1277, 1321, 1409, 1607, 1783, 1871, 2003, 2069, 2113, 2399, 2729, 2927, 3037, 3169, 3257, 3323, 3433, 3499, 3631, 3697, 3851, 4027, 4357, 4621, 5413, 6491, 7481, 7789, 8581, 9043, 9901, 14939, 21143, 67651, 88771, 96757, 165749
$k = 23$7823, 47, 139, 277, 461, 599, 691, 829, 967, 1013, 1151, 1289, 1381, 1427, 1657, 1933, 2347, 2393, 2531, 3037, 3221, 3313, 3359, 4003, 4463, 4877, 5153, 6763, 7177, 7867, 8741, 9109, 10627, 10949, 11777, 12973, 14767, 15319, 16699, 17573, 21391, 23599, 24611, 25117, 26267, 26681, 27739, 29671, 33581, 41953, 51659, 53453, 55201, 60353, 63527, 68311, 77557, 81283, 83077, 89839, 93979, 164911, 228713, 282809, 317263, 331339, 340723, 356869, 373613, 440681, 587513, 1097009, 1099309, 1566163, 1607149, 1671641, 2095853, 2796203
$k = 24$892, 3, 5, 7, 11, 13, 17, 19, 29, 31, 37, 41, 43, 53, 59, 61, 67, 73, 79, 89, 97, 107, 109, 113, 157, 181, 193, 241, 313, 337, 409, 433, 457, 577, 601, 673, 769, 937, 1009, 1033, 1129, 1153, 1201, 1249, 1297, 1321, 1489, 1609, 1657, 1753, 1777, 1801, 1873, 1993, 2017, 2089, 2113, 2161, 2281, 2473, 2521, 2593, 2617, 2689, 2953, 3049, 3121, 3169, 3313, 3529, 3673, 3769, 3793, 3889, 4057, 4993, 5521, 5569, 5857, 6481, 7057, 7129, 7177, 7369, 9001, 9601, 11593, 13033, 28753
$k = 25$1235, 11, 101, 151, 251, 401, 601, 701, 751, 1051, 1151, 1201, 1301, 1451, 1601, 1801, 1951, 2251, 2351, 2551, 2801, 2851, 3001, 3251, 3301, 3701, 3851, 4001, 4051, 4201, 4451, 4651, 4751, 4951, 5051, 5101, 5801, 6101, 6451, 6701, 9601, 10301, 10501, 10601, 12251, 14951, 15901, 17351, 17851, 18701, 19001, 21401, 26801, 27551, 27751, 28151, 29251, 29851, 30851, 31151, 31751, 35201, 35251, 39551, 39901, 40151, 41351, 42451, 43151, 47251, 51151, 53551, 54101, 54751, 61051, 70901, 81101, 93251, 96401, 97301, 104801, 114901, 117101, 139801, 150301, 154351, 169501, 180001, 185551, 187951, 214451, 241051, 264301, 268501, 270551, 332851, 374351, 400651, 424451, 429101, 465551, 621451, 762101, 827501, 855901, 931901, 983951, 1389001, 1420651, 1461601, 1564501, 2031251, 2491001, 2569201, 2835901, 2975501, 3129601, 3208151, 3568951, 4115051, 5619001, 7978301, 9430951
$k = 26$1112, 3, 13, 53, 79, 131, 157, 313, 443, 521, 547, 599, 677, 859, 911, 937, 1093, 1171, 1223, 1249, 1301, 1327, 1483, 1613, 1847, 1873, 1951, 2003, 2029, 2081, 2237, 2341, 2393, 2549, 2731, 2861, 2887, 2939, 3121, 3251, 3329, 3433, 3511, 3719, 3797, 4057, 4759, 4993, 5279, 5981, 6761, 7151, 7229, 7307, 7333, 7489, 7879, 8191, 8243, 8867, 8893, 8971, 9127, 9283, 9413, 9439, 9829, 10271, 10531, 11467, 12143, 12611, 12637, 13417, 13469, 13807, 14249, 14561, 15289, 15601, 15809, 16693, 17837, 17863, 20593, 21997, 25741, 26573, 27691, 28549, 34919, 41341, 47087, 48673, 53327, 60607, 64793, 75167, 76103, 101531, 126517, 140297, 266137, 281243, 282413, 398581, 417821, 702469, 795913, 797161, 926537
$k = 27$1853, 19, 37, 73, 109, 127, 163, 271, 379, 433, 487, 541, 757, 811, 919, 1297, 1459, 1567, 1621, 1783, 1999, 2053, 2161, 2269, 2377, 2539, 2593, 2647, 2917, 2971, 3079, 3187, 3457, 3511, 3673, 3727, 3889, 3943, 4051, 4159, 4483, 4861, 5023, 5077, 5563, 5779, 6211, 6427, 6481, 6967, 7129, 7507, 7561, 7669, 7993, 8263, 8803, 9181, 9343, 9613, 9883, 10099, 10369, 10477, 10639, 11287, 11827, 12043, 12097, 12799, 12853, 13879, 13933, 14149, 17497, 17713, 17929, 19387, 19441, 19927, 20359, 21061, 21277, 25219, 26083, 26407, 30241, 32077, 32563, 34129, 35803, 45523, 47251, 50221, 54973, 57241, 57781, 59023, 59833, 64153, 65881, 71713, 74143, 77491, 77761, 81163, 86239, 87211, 97849, 103951, 114859, 117127, 119179, 121447, 125551, 129763, 130411, 131707, 142939, 144289, 149689, 152767, 154873, 157897, 161137, 170857, 228421, 237763, 241489, 243973, 246241, 255637, 262657, 273187, 300889, 301591, 326863, 333667, 341281, 350731, 353053, 364069, 371359, 386263, 398683, 406513, 424549, 428221, 435889, 465319, 530983, 555391, 556579, 596917, 601021, 606961, 618031, 684127, 705403, 729649, 807733, 834787, 970813, 981397, 1242487, 1335637, 1871641, 2204659, 3305989, 3466423, 3539971, 3652939, 3887083, 3908467, 4110751, 4440691, 5431969, 5705803, 8868367, 10055827, 10557649, 10658359, 22581019, 25895809, 34975153
$k = 28$1492, 5, 7, 13, 29, 41, 43, 71, 97, 113, 127, 197, 211, 239, 281, 337, 379, 421, 449, 491, 547, 617, 659, 673, 701, 757, 953, 1009, 1051, 1093, 1289, 1373, 1429, 1597, 1709, 1877, 1933, 2017, 2129, 2213, 2269, 2297, 2381, 2437, 2521, 2549, 2633, 2689, 2801, 2969, 3109, 3137, 3221, 3361, 3529, 3557, 3613, 3697, 4201, 4397, 4481, 4789, 4817, 4957, 5209, 5237, 6133, 6329, 6469, 6637, 6917, 7001, 7253, 7757, 8009, 8233, 8317, 8429, 8513, 8681, 8737, 9437, 9661, 9941, 10333, 10501, 10781, 11173, 11257, 11677, 11789, 12433, 12713, 13469, 14533, 14561, 14869, 14897, 15737, 16493, 17389, 17669, 17837, 18257, 19993, 23017, 24781, 25453, 26153, 26237, 26321, 27077, 28309, 30689, 32089, 32117, 32369, 32957, 34273, 35449, 36877, 39341, 40013, 40433, 42533, 44549, 45949, 46957, 47237, 47629, 48049, 48973, 51157, 64513, 67901, 81649, 95929, 105449, 112337, 135017, 141793, 156577, 184157, 212633, 278209, 283193, 347033, 1520009, 2968337
$k = 29$18229, 59, 233, 349, 523, 929, 1103, 1277, 1451, 1567, 1741, 1973, 2089, 2437, 2843, 3191, 3307, 3539, 4003, 4177, 4409, 4583, 4931, 5569, 5801, 6091, 6961, 7019, 7193, 7309, 7541, 8237, 8353, 9049, 9281, 9397, 9629, 9803, 10151, 11717, 11833, 12007, 12413, 13109, 13457, 14153, 15139, 15313, 15661, 16067, 17053, 17981, 18097, 18503, 18793, 19141, 19373, 19489, 20359, 20533, 21577, 23027, 23201, 24071, 24419, 24767, 26681, 30103, 30161, 31147, 31379, 35149, 36599, 37991, 38629, 38803, 38861, 39499, 44777, 46633, 47387, 49417, 50867, 52259, 55217, 55333, 55681, 62119, 64381, 65599, 65657, 66701, 82129, 82883, 93323, 97847, 98369, 99181, 132241, 138157, 138563, 144479, 145987, 148829, 149351, 165533, 181019, 185369, 186587, 191227, 210193, 215587, 218371, 241513, 261581, 265003, 279619, 363313, 404029, 408437, 463189, 480937, 502339, 551813, 661201, 675179, 817163, 826559, 826849, 860257, 929161, 1001081, 1001197, 1060589, 1100261, 1112383, 1148111, 1186217, 1196773, 1391479, 1423553, 1463863, 1623827, 1774337, 1867949, 2293321, 2420689, 2634419, 3033169, 3632831, 3768493, 4242353, 7471213, 7476143, 7891423, 8077661, 9729037, 10128773, 10298191, 11242373, 11574481, 12274541, 12599921, 13712593, 21973069, 23641903, 29575129, 29732251, 34233341, 42199583, 60022229, 61228513, 61584227, 80809661, 89854181, 97780229, 107367629, 108050869, 116199637, 149764933, 150660163, 217108153
$k = 30$1342, 3, 5, 7, 11, 13, 19, 31, 41, 61, 71, 79, 101, 131, 151, 181, 211, 229, 241, 271, 331, 421, 541, 571, 601, 631, 661, 691, 751, 811, 991, 1021, 1051, 1171, 1201, 1231, 1291, 1321, 1381, 1471, 1531, 1621, 1741, 1801, 1831, 1861, 1951, 2011, 2131, 2161, 2221, 2251, 2281, 2311, 2341, 2371, 2521, 2551, 2671, 2731, 2791, 2851, 2971, 3001, 3061, 3121, 3271, 3301, 3331, 3361, 3391, 3511, 3541, 3571, 3631, 3931, 4021, 4051, 4201, 4261, 4561, 4621, 4651, 4801, 4831, 4861, 4951, 5011, 5101, 5281, 5641, 5701, 5821, 5851, 5881, 6151, 6271, 6691, 6841, 6871, 7351, 7561, 7741, 8461, 8941, 8971, 9001, 9181, 9511, 9601, 9931, 10111, 10501, 11131, 11491, 12211, 12601, 12781, 13171, 14341, 16411, 16561, 18541, 19441, 19501, 20611, 21871, 23761, 30841, 41341, 42901, 46261, 52981, 56941
$k = 31$2572, 5, 31, 67, 311, 373, 683, 1117, 1303, 1427, 1489, 1613, 1861, 2357, 2543, 2729, 2791, 3163, 3659, 3907, 4093, 4217, 4651, 5023, 5147, 5209, 5333, 5519, 5581, 5953, 6263, 6449, 7069, 7193, 7937, 8123, 8681, 9859, 10169, 10789, 11161, 11657, 11719, 12401, 12959, 13331, 14323, 14633, 16493, 16741, 18043, 18539, 18787, 18973, 20089, 21391, 21701, 22073, 23251, 23747, 24677, 25111, 26041, 26227, 27901, 29017, 31063, 32303, 34039, 34721, 36643, 36767, 37201, 38069, 39929, 41851, 42533, 43711, 46439, 46811, 49477, 51461, 52267, 52391, 53197, 55987, 64109, 69317, 71363, 71983, 72169, 75641, 76943, 77563, 83267, 83639, 87049, 87421, 88289, 89653, 89963, 100379, 101681, 115879, 125551, 128341, 139439, 142601, 148367, 154691, 174221, 198091, 201997, 202679, 211979, 212227, 213467, 215141, 217559, 218923, 225061, 226549, 232439, 238019, 238639, 247381, 257053, 276707, 298159, 303491, 334429, 355633, 390539, 393143, 404489, 446401, 458863, 495071, 497551, 523777, 533077, 585839, 640027, 646537, 700849, 702523, 711017, 740653, 751813, 753611, 823547, 877301, 886973, 906317, 909541, 934403, 1038811, 1076879, 1090333, 1159339, 1183333, 1195237, 1248991, 1251161, 1305287, 1408889, 1428109, 1429783, 1439393, 1487753, 1509143, 1604809, 1663027, 1948909, 2113147, 2235287, 2247811, 2377019, 2437717, 2502011, 2804509, 2929687, 2966329, 2970421, 3010349, 3059143, 3193187, 3423083, 3640331, 3962731, 4230571, 4253759, 4933589, 5230321, 5367031, 5438269, 5603933, 5809711, 6094787, 6144821, 6621353, 7162861, 7347187, 7358471, 7432871, 7461329, 7709329, 8348797, 8855461, 9931037, 10367393, 10725257, 11818069, 12078097, 12539377, 14207177, 14806159, 16437193, 17690089, 18997669, 20147459, 21047203, 22464461, 22708927, 23374993, 23452307, 23503147, 29076637, 34425191, 37198079, 43017647, 45772183, 51090419, 60941537, 65733827, 66333739, 87672217, 102462751, 114013351, 142913039, 154798873, 158014193, 176336557, 194376139, 196570753, 323488349, 333384169, 347587067, 369871169, 380918081, 427558139, 480516059, 623883929, 679771597, 715827883, 769425829, 1114506049
 $k = 32$ 2732, 3, 5, 7, 17, 23, 41, 47, 79, 97, 113, 193, 241, 257, 337, 353, 401, 431, 433, 449, 463, 577, 593, 641, 673, 769, 881, 929, 1103, 1153, 1217, 1249, 1409, 1601, 1697, 1889, 2017, 2081, 2113, 2129, 2273, 2593, 2657, 2689, 2753, 3041, 3137, 3169, 3329, 3361, 3457, 3617, 4001, 4129, 4289, 4481, 4513, 4673, 4801, 4993, 5153, 5281, 5441, 5569, 5857, 6113, 6337, 6689, 6977, 7297, 7393, 7457, 7489, 7649, 7681, 7841, 7873, 7937, 8161, 8353, 8609, 8929, 9281, 9377, 9473, 9601, 10177, 10273, 10369, 10529, 10657, 10753, 11329, 11617, 11681, 12097, 12161, 12289, 12577, 12641, 13121, 13313, 13441, 13633, 13729, 14369, 14593, 15073, 15233, 15329, 15361, 15649, 15809, 15937, 16001, 16193, 16417, 16481, 16673, 17569, 17729, 18049, 18433, 18593, 18913, 19009, 19553, 19681, 19841, 20353, 20929, 21601, 22369, 23041, 24001, 24097, 25057, 25121, 25409, 25601, 26177, 26209, 26497, 27361, 27457, 27617, 29761, 30241, 30497, 30817, 30881, 31393, 31873, 32257, 32353, 32993, 34849, 36929, 37057, 37217, 37441, 37633, 38273, 40961, 41953, 43457, 45697, 46049, 47297, 47713, 48353, 48449, 49121, 49409, 50177, 50849, 51137, 51361, 51521, 51713, 52289, 52321, 53281, 53633, 54721, 55073, 56993, 57601, 57793, 59617, 60737, 62273, 62497, 65537, 65729, 66977, 67073, 67489, 68161, 68449, 68897, 72481, 76801, 78049, 80513, 86753, 95233, 100129, 100769, 108193, 114913, 119233, 120193, 122849, 127873, 137153, 139393, 140449, 142529, 149249, 151681, 151841, 156353, 159361, 159521, 159937, 165313, 165569, 171169, 172673, 174017, 175937, 176321, 177473, 194017, 194977, 198977, 204353, 221729, 240641, 259201, 278177, 316577, 337153, 347969, 357281, 400417, 420001, 446657, 456641, 464033, 482753, 491041, 495617, 501089, 503297, 510529, 523969, 525377, 557057, 575777, 660833, 697601, 818689, 1028129, 1219649, 1991489, 2498273, 8755073, 9549697, 11712929, 21523361, 21821249