List of primes  k · 2n − 1  for  k < 300

Compiled by Wilfrid Keller

 (Page created in December 1998) 
Updated 16 November 2021

The following list of primes k · 2n − 1 is an extension and a current update of Table 6 in Hans Riesel's book Prime Numbers and Computer Methods for Factorization [Riesel94]. A listing like:
k   n1, n2, . . ., nh [Lim]
indicates that the list of primes for n = n1, n2, . . ., nh is complete for all n < Lim. In a listing like:
k   n1, n2, . . ., nh [Lim] nh+1, nh+2, . . .
further primes are added without knowledge of a higher limit possibly reached through systematic search. So the partial list of primes for n = nh+1, nh+2, . . . may or may not be complete up to the highest prime known.

To emphasize the extraordinary progress that has been achieved in the systematic search for primes of the form k · 2n − 1, we observe that the list printed in the first edition of Riesel's book (1985) covered all k < 200 to Lim = 1000. In the second edition of 1994, the list was extended to Lim = 8000 for k < 100, and to Lim = 6000 for 100 < k < 200.

With the advent of Yves Gallot's program Proth.exe in 1998, a terrific advance was initiated. At the end of that year, the present webpage included the following "basic extension":

k       n
3−9       8000−45000
11−49       8000−32000
51−99       8000−16000
101−199       6000−16000
201−299             1−16000

Afterwards, the overall limit of Lim = 32000 was established by May 1st, 2000. However, several errors in the list were subsequently detected and corrected. Later, David Broadhurst extended and carefully checked the existing table for completeness up to Lim = 100000. At this point, no further inaccuracy was found up to Lim = 32000. These computations were performed in July and August of 2004 (completed August 31). In January 2009, the minimum limit attained for all k in the list was Lim = 230000.

A remarkable milestone was reached in February 2021, when Gary Barnes reported having completed a comprehensive doublecheck of everything that had been done up to Lim = 1000000. Not a single omission was detected, even when for individual values of k a lower limit was recorded. This important contribution is greatly acknowledged.

As of November 16, 511 additional primes for n > 1000000 are shown in the list below. These are generally taken from Chris Caldwell's list of the largest known primes. If you are interested in the primes by their overall ranking rather than by values of k, or to know who first discovered them, you should search The Prime Pages database.


k   Values of  n

1   2, 3, 5, 7, 13, 17, 19, 31, 61, 89, 107, 127, 521, 607, 1279, 2203, 2281, 3217, 4253, 4423, 9689, 9941, 11213, 19937, 21701, 23209, 44497, 86243, 110503, 132049, 216091, 756839, 859433, 1257787, 1398269, 2976221, 3021377, 6972593, 13466917, 20996011, 24036583, 25964951, 30402457, 32582657, 37156667, 42643801, 43112609 [54434000] 57885161 G13, 74207281 G14, 77232917 G15, 82589933 G16

3   1, 2, 3, 4, 6, 7, 11, 18, 34, 38, 43, 55, 64, 76, 94, 103, 143, 206, 216, 306, 324, 391, 458, 470, 827, 1274, 3276, 4204, 5134, 7559, 12676, 14898, 18123, 18819, 25690, 26459, 41628, 51387, 71783, 80330, 85687, 88171, 97063, 123630, 155930, 164987, 234760, 414840, 584995, 702038, 727699, 992700, 1201046, 1232255, 2312734, 3136255, 4235414, 6090515, 11484018, 11731850, 11895718, 16819291 [17710000] 17748034 L5404

5   2, 4, 8, 10, 12, 14, 18, 32, 48, 54, 72, 148, 184, 248, 270, 274, 420, 1340, 1438, 1522, 1638, 1754, 1884, 2014, 2170, 2548, 2622, 2652, 2704, 13510, 21738, 25624, 41934, 51478, 52540, 53230, 172300, 245728, 350028, 1194164, 2460482, 3059698, 3090860, 3264650, 3569154, 5429494 [6000000] 7037188, 7755002, 10349000, 10495620, 11355764 L4965

7   1, 5, 9, 17, 21, 29, 45, 177, 18381, 22529, 24557, 26109, 34857, 41957, 67421, 70209, 169085, 173489, 177977, 363929, 372897 [2200000] 5229669 L4965

9   1, 3, 7, 13, 15, 21, 43, 63, 99, 109, 159, 211, 309, 343, 415, 469, 781, 871, 939, 1551, 3115, 3349, 5589, 5815, 5893, 7939, 8007, 11547, 12495, 22555, 23647, 35647, 83415, 103059, 184999, 275859, 384243, 484975, 503893, 828709 [1000000] 1010277 L80, 1419855 L323, 1481821, 2060941 L503, 3259381, 4005979, 4683555 L1828

11   2, 26, 50, 54, 126, 134, 246, 354, 362, 950, 1310, 2498, 6926, 11826, 31734, 67850, 74726, 96150, 374114, 696438, 743322, 1044086, 1104606, 1261478 [1500000] 4643238, 7971110 L2484

13   3, 7, 23, 287, 291, 795, 2203, 5711, 7927, 9443, 10095, 19071, 29611, 34651, 51875, 55343, 77511, 166303, 233207 [1000000] 2606075, 2642943, 3527315, 3664703, 3675223, 4333087 L1862

15   1, 2, 4, 5, 10, 14, 17, 31, 41, 73, 80, 82, 116, 125, 145, 157, 172, 202, 224, 266, 289, 293, 463, 1004, 1246, 2066, 2431, 2705, 4622, 5270, 7613, 21727, 21962, 40742, 41054, 60622, 83263, 83669, 91457, 103940, 104177, 108124, 115327, 161453, 172714, 454681, 568780, 656264, 712294, 902474 [1000000] 1084010, 1344313 L139, 1837873 L632, 2323205 L2484, 3668194 L3665, 6429089, 6993631 L4965

17   2, 4, 6, 16, 20, 36, 54, 60, 96, 124, 150, 252, 356, 460, 612, 654, 664, 698, 702, 972, 1188, 1312, 3062, 4214, 4288, 5280, 9100, 20262, 21676, 24828, 46144, 62148, 79974, 117784, 211464, 310744, 310754, 429318, 601158, 605394 [2052000] 2721830 p279, 2946584 L3519, 4107544 L4113

19   1, 3, 5, 21, 41, 49, 89, 133, 141, 165, 189, 293, 305, 395, 651, 665, 771, 801, 923, 953, 3689, 5315, 6989, 15641, 48819, 78389, 134053, 167843, 181395, 311091, 353661, 645555, 916763 [1000000] 1325245 L121, 1434165, 1684813 L503, 3155009 L1828

21   1, 2, 3, 7, 10, 13, 18, 27, 37, 51, 74, 157, 271, 458, 530, 891, 1723, 1793, 1849, 1986, 2191, 2869, 4993, 7777, 11730, 15313, 29171, 35899, 36227, 71570, 199219, 233914, 297499, 332523, 348547, 538657, 986130, 999599 [1060000] 1170083 L503, 1182083 L323, 1452771 L503, 1872923, 2160479 L2074, 2959789 L5313, 6468257 L4965

23   4, 6, 12, 46, 72, 244, 264, 544, 888, 1146, 14826, 24978, 103386, 323668, 458362, 496422 [1000000] 2141626 L545

25   3, 9, 11, 17, 23, 35, 39, 75, 105, 107, 155, 161, 215, 225, 335, 635, 651, 687, 1479, 1515, 1953, 2435, 2963, 3671, 5979, 7551, 8091, 9791, 15015, 20897, 26279, 43371, 130407, 587585, 716769, 942563 [1000000] 1977369 L426, 5152151, 5658915 L1884

27   1, 2, 4, 5, 8, 10, 14, 28, 37, 38, 70, 121, 122, 160, 170, 253, 329, 362, 454, 485, 500, 574, 892, 962, 1213, 1580, 2642, 2708, 4505, 8152, 11858, 13300, 15041, 16118, 16778, 19069, 22769, 29020, 30298, 30377, 35942, 42817, 42869, 62024, 74629, 90449, 91042, 117901, 128594, 143330, 152530, 157898, 175852, 282700, 340682, 444622, 627794, 729314, 777992, 1108214, 1163629, 1253870, 1902689, 3855094, 4542344, 4583717 [8256000] 8342438 L3483

29   4, 16, 76, 148, 184, 11008, 147316, 347896, 644044, 1478344 [1800000]

31   1, 5, 7, 11, 13, 23, 33, 35, 37, 47, 115, 205, 235, 271, 409, 739, 837, 887, 2189, 3465, 4653, 5073, 8011, 8061, 21957, 24589, 25657, 44653, 50321, 57647, 62083, 78179, 80021, 81655, 111667, 150265, 177089, 196433, 274115, 306751, 311389, 315523, 406105, 421129, 666285, 773227 [1000000] 1142093 L503, 1611311, 1755317 L330

33   2, 3, 6, 8, 10, 22, 35, 42, 43, 46, 56, 91, 102, 106, 142, 190, 208, 266, 330, 360, 382, 462, 503, 815, 1038, 1651, 1855, 1858, 1992, 2232, 4462, 4726, 5475, 6702, 9710, 10931, 11503, 20552, 22291, 26575, 35931, 39271, 51326, 57695, 63115, 67182, 109848, 128635, 136971, 173110, 174182, 373446, 585400, 598248, 674050, 773030 [1000000] 1115902 L488, 1813526 L621, 2118570, 2212971, 2215291, 2499883, 2513872, 2939063, 3242126 L3345, 6894190 L4965

35   2, 6, 10, 20, 44, 114, 146, 156, 174, 260, 306, 380, 654, 686, 702, 814, 906, 1196, 1316, 3062, 4116, 9382, 23562, 25742, 32564, 72444, 97550, 112390, 118510, 246732, 252910, 634402, 805222, 839082 [1000000] 1817486 L2074

37   1, 2553, 4893, 7897, 14353, 32125, 51477, 78973, 341365 [1000000] 6660841 L3933

39   3, 24, 105, 153, 188, 605, 795, 813, 839, 2135, 2619, 4053, 8333, 15519, 16025, 16505, 30684, 40700, 43683, 52233, 142205, 222345, 225333, 292839, 322613, 747219, 781220, 2251104 [4848000]

41   2, 10, 14, 18, 50, 114, 122, 294, 362, 554, 582, 638, 758, 3334, 6630, 42450, 64218, 89282, 149238, 511718 [1000000] 1018778, 1059562 L282, 2872058 L2484

43   7, 31, 67, 251, 767, 1171, 1643, 25423, 38863, 50867, 60391, 100303, 286171, 399767 [1000000] 5408183 L1884

45   1, 2, 3, 4, 5, 6, 8, 9, 14, 15, 16, 22, 28, 29, 36, 37, 54, 59, 85, 93, 117, 119, 161, 189, 193, 256, 308, 322, 327, 411, 466, 577, 591, 902, 928, 946, 1162, 1428, 1708, 1724, 2063, 2922, 2951, 3111, 3402, 4024, 4485, 5859, 6124, 8981, 10628, 19283, 23522, 26591, 28914, 33954, 34743, 76367, 103546, 103912, 104452, 125132, 139883, 174102, 249065, 306394, 368553, 528245, 645542, 818648 [1000000] 1957377, 2205977, 2958002 L1862, 3094632 L1862

47   4, 14, 70, 78, 1374, 1824, 2158, 2654, 4494, 9598, 10068, 11524, 15128, 55408, 87324, 450470, 540494, 695384, 695724 [1000000] 1025950 L2074

49   1, 5, 7, 9, 13, 15, 29, 33, 39, 55, 81, 95, 205, 279, 581, 807, 813, 2551, 2565, 3183, 6661, 11989, 16911, 22605, 30799, 39969, 41167, 43421, 54559, 212745, 290631, 332231, 460989, 542945, 691469 [1000000] 1257295 L217, 3309087, 4360869, 4365175 L1959

51   1, 9, 10, 19, 22, 57, 69, 97, 141, 169, 171, 195, 238, 735, 885, 1287, 1365, 2026, 2211, 2361, 2889, 3159, 3709, 5031, 19066, 33622, 43162, 188517, 194875, 217971, 286965, 331546, 468417, 657705, 832630, 845494 [1000000] 1026910, 1027635 L260, 1231665 L384, 5085142 L760

53   2, 6, 8, 42, 50, 62, 362, 488, 642, 846, 2870, 3042, 5096, 10556, 12642, 17850, 21710, 25230, 30392, 43122, 206970, 582078 [1000000] 1632590 L2055

55   1, 3, 5, 7, 15, 33, 41, 57, 69, 75, 77, 131, 133, 153, 247, 305, 351, 409, 471, 1251, 1259, 2253, 2411, 2425, 2699, 3221, 4099, 4173, 4291, 4905, 5349, 6723, 7143, 7505, 10539, 10557, 12099, 17373, 23721, 27895, 33801, 35519, 45927, 63589, 73287, 96933, 106659, 218043, 253047, 397941, 651015 [1000000] 1075711, 1162155 L545, 1406997 L1884, 1468439 L2074, 1729777 L2074, 2084305 L3887

57   1, 2, 4, 5, 8, 10, 20, 22, 25, 26, 32, 44, 62, 77, 158, 317, 500, 713, 1657, 1790, 2761, 2794, 3704, 4174, 6772, 14348, 16132, 16160, 16766, 21097, 29125, 40094, 44824, 49006, 67585, 74650, 94798, 162538, 173585, 239854, 450430, 565994, 707245, 839446 [1000000] 1098272 L260, 1110980 L121, 1486214 L1828, 2103370 L2055, 2639528, 3093440 L2484, 3339932 L3519

59   12, 16, 72, 160, 256, 916, 1216, 1840, 3280, 8140, 10816, 15776, 40256, 72116, 134240, 145532, 358276 [1000000] 3408416 L426

61   3, 5, 9, 13, 17, 19, 25, 39, 63, 67, 75, 119, 147, 225, 419, 715, 895, 1025, 1103, 1179, 1345, 1829, 3855, 4159, 4493, 6039, 7799, 9073, 10543, 12883, 23807, 23957, 36163, 44047, 51975, 65573, 79393, 79949, 81987, 86349, 384287, 499175, 762417, 971585 [1000000] 1124049 L121, 1416365 L2055, 1487125 L1828, 1654383 L503, 1734983, 2134577 L2055, 2381887 L2432, 2580689 L2484, 2936967 L2484, 3286535, 3366033 L4405

63   2, 3, 8, 11, 14, 16, 28, 32, 39, 66, 68, 91, 98, 116, 126, 164, 191, 298, 323, 443, 714, 758, 759, 1059, 1168, 1511, 1792, 2116, 3148, 3836, 4084, 4622, 6164, 9268, 10062, 14623, 15799, 23634, 44198, 53971, 55244, 81519, 99411, 112554, 114906, 123774, 132203, 155998, 218694, 323432, 340463, 610704 [1000000] 1126551 L323, 1357156, 1535612, 1626259 L1828, 1659338 L503

65   4, 6, 12, 22, 28, 52, 78, 94, 124, 162, 174, 192, 204, 304, 376, 808, 930, 972, 1714, 1776, 2176, 2568, 4392, 4728, 5548, 8046, 12474, 26856, 27156, 45240, 52026, 134598, 179658, 185946, 578512, 647130 [1000000] 1374574 L2055, 1421088 L1828, 1505640 L2055, 2450614 L2074, 2583720, 2876718, 3080952 L2484

67   5, 9, 21, 45, 65, 77, 273, 677, 1049, 1721, 17105, 18645, 27761, 61661, 79773, 403461, 527037, 722805 [2100000] 2215581 L268, 3391385 L1959

69   1, 4, 5, 7, 9, 11, 13, 17, 19, 23, 29, 37, 49, 61, 79, 99, 121, 133, 141, 164, 173, 181, 185, 193, 233, 299, 313, 351, 377, 540, 569, 909, 1057, 1081, 1189, 1679, 2043, 2641, 3471, 3533, 3943, 5607, 9681, 12879, 14513, 15300, 21573, 30895, 32163, 39983, 47167, 47657, 49325, 51881, 64801, 65385, 65723, 66017, 69020, 74111, 76803, 79956, 83761, 84437, 100916, 110617, 165841, 195515, 234305, 234916, 236989, 239019, 352196, 362787, 464843, 580596, 613781, 820237, 831617, 867653, 978209 [1000000] 1473217 L2055, 1566375 L1828, 1649423 L621, 2174213 L2055, 2410035 L2074, 2428251 L384, 2649939, 3097340, 3140225 L3764, 6639971, 6838971 L5037, 11604348, 11718455, 12231580, 15866556 L4965

71   2, 14, 410, 1390, 3770, 5434, 202642, 735802 [1000000]

73   7, 11, 19, 71, 79, 131, 1167, 1191, 6771, 12627, 17947, 20079, 26347, 40327, 41231, 69379, 109587, 193559, 212451, 499391, 783831 [1000000] 1075107 L1884

75   1, 3, 5, 6, 18, 19, 20, 22, 28, 29, 39, 43, 49, 75, 85, 92, 111, 126, 136, 159, 162, 237, 349, 381, 767, 969, 1247, 1893, 1951, 2363, 2657, 3065, 3090, 3836, 4110, 4342, 5671, 6807, 21945, 24658, 30082, 31811, 54510, 70828, 79292, 80938, 84432, 92235, 113429, 170933, 182433, 196071, 199819, 231580, 306789, 424392, 434323, 631091, 814857, 995721 [1000000] 2050637, 2130432, 2562382 L2055

77   2, 4, 14, 26, 58, 60, 64, 100, 122, 212, 566, 638, 1214, 2080, 4852, 5356, 5720, 7044, 8320, 8556, 10684, 14584, 39016, 47972, 72008, 217956, 223512, 387680, 441528, 607920, 855770 [1340000] 1365452, 1390004 L2074, 1467554 L145, 2002742 L2074

79   1, 3, 7, 15, 43, 57, 61, 75, 145, 217, 247, 2803, 3403, 4375, 5113, 9883, 14565, 17397, 65977, 82081, 92517, 214453, 248055, 369535, 969795 [1000000] 4658115 L1884

81   3, 5, 11, 17, 21, 27, 81, 101, 107, 327, 383, 387, 941, 1665, 3515, 4007, 4727, 7137, 16257, 16833, 21243, 24239, 35435, 59925, 91673, 153455, 165341, 183167, 190349, 240743, 253385, 308325, 741917 [1000000] 1335675 L268, 2375447 L3887

83   2, 4, 8, 10, 14, 18, 22, 24, 26, 28, 36, 42, 58, 64, 78, 158, 198, 206, 424, 550, 676, 904, 1276, 1374, 1536, 1642, 2124, 2796, 5266, 5318, 8828, 11638, 22968, 35836, 53348, 55808, 79826, 105282, 112418, 129804, 144456, 216954, 624398, 654488, 791926, 851092, 910716 [1000000] 1192950 L1884, 1437882, 1455358, 1461350, 1540750, 2411962 L1959

85   5, 11, 71, 113, 115, 355, 473, 563, 883, 1235, 5735, 9809, 11311, 14491, 25495, 125675, 128459, 147115, 656039, 683573, 1034069 [1120000] 1395605 L2338, 2087651 L2338

87   1, 2, 8, 9, 10, 12, 22, 29, 32, 50, 57, 69, 81, 122, 138, 200, 296, 514, 656, 682, 778, 881, 1422, 1494, 1857, 3060, 3489, 4106, 5129, 5378, 8096, 8546, 10138, 10941, 13749, 21758, 23554, 24582, 27526, 28581, 29306, 29588, 36101, 36681, 41378, 45689, 55769, 56049, 65676, 77361, 96426, 110189, 128630, 142738, 154352, 155794, 188689, 353734, 360829, 382268, 796341, 942790 [1000000] 1089098, 1120006 L121, 1332741 L1828, 1358189 L2055, 1616138 L1828, 1852590 L2055, 2518122 L2484

89   4, 8, 12, 24, 48, 52, 64, 84, 96, 1272, 2028, 3224, 4952, 6892, 7372, 16476, 56968, 68632, 185868, 208824, 369628 [1000000] 1383108 L1884, 1879132 L1828

91   1, 3, 9, 13, 15, 17, 19, 23, 47, 57, 67, 73, 77, 81, 83, 191, 301, 321, 435, 867, 869, 917, 6009, 6051, 8077, 9003, 10355, 10719, 11217, 20197, 22011, 36379, 45373, 53441, 77013, 86329, 89853, 90341, 104783, 169779, 187407, 245989, 313849, 535819, 563469, 633169, 711335, 787173 [1000000] 1026521 L323, 1742093 L2338

93   3, 4, 7, 10, 15, 18, 19, 24, 27, 39, 60, 84, 111, 171, 192, 222, 639, 954, 2400, 2587, 4012, 4359, 5250, 6012, 6183, 7344, 10603, 12403, 13215, 29154, 78192, 81294, 103744, 107991, 174412, 176479, 203728, 205158, 251199, 362268, 580482, 903187, 990684 [1000000] 2602483, 2708718 L1862

95   2, 6, 26, 32, 66, 128, 170, 288, 320, 470, 1278, 1296, 1316, 1536, 1608, 13230, 15438, 31268, 42198, 46688, 71636, 140840, 259076, 271590, 790508, 968636 [1000000] 1543676 L2338

97   1, 9, 45, 177, 585, 1409, 2617, 3465, 6981, 843205 [1000000] 2374485, 4066717 L2484

99   1, 4, 5, 7, 8, 11, 19, 25, 28, 35, 65, 79, 212, 271, 361, 461, 1237, 1297, 1577, 1747, 1901, 1943, 2741, 3203, 3425, 5069, 6368, 8372, 9761, 12260, 13472, 24032, 26227, 34028, 34492, 54244, 55660, 56056, 60965, 67283, 74576, 118711, 170867, 175921, 269809, 275113, 305803, 358891, 390373, 435301, 586088 [1000000] 1106989 L486, 1292395, 1461496, 1591984 L282, 1777688, 2070908, 2455541, 2658496, 2899303, 3026660, 3029959, 3102401 L1862

101   10, 18, 54, 70, 1330, 1638, 3894, 4114, 9990, 94194, 900358 [1000000] 7345194 L1884

103   3, 7, 11, 19, 63, 75, 95, 127, 155, 163, 171, 283, 563, 1739, 2243, 3971, 4375, 5227, 8307, 9943, 18383, 19835, 25879, 26927, 36895, 304771, 422939, 602483, 686251, 977951, 984667 [1000000] 1077739 L621, 1192775, 1486695, 1562619, 1860103, 2232551, 2462567 L2484

105   2, 3, 5, 6, 8, 9, 25, 32, 65, 113, 119, 155, 177, 299, 335, 426, 462, 617, 896, 1377, 1847, 2495, 2810, 3743, 3884, 3897, 5235, 6418, 6550, 8066, 8757, 9518, 11610, 16542, 17485, 17984, 18530, 18885, 25017, 26642, 30366, 40470, 45770, 56903, 57819, 66077, 69958, 75569, 92357, 108867, 145422, 201556, 262670, 280022, 472430, 484658, 530360, 801978, 814850 [1005000] 1043063, 1193072, 1407665, 1467388 L384, 1793519, 1840262, 1989208 L1959, 2280078 L2444, 2334755 L1959

107   10, 12, 18, 24, 28, 40, 90, 132, 214, 238, 322, 532, 858, 940, 2044, 5316, 6232, 7074, 8316, 15868, 45838, 46828, 48384, 50862, 57000, 69972, 153552, 162502, 267916, 306334, 471382, 494896 [1000000] 1070256, 1362654 L621, 2819922 L2484

109   9, 149, 177, 419, 617, 1799, 3227, 6017, 12957, 141227, 646403 [1000000] 1006883 L282

111   2, 3, 6, 7, 21, 22, 23, 26, 29, 31, 58, 59, 67, 78, 83, 146, 159, 162, 165, 183, 262, 511, 718, 815, 1181, 1255, 1422, 1506, 1541, 1734, 2213, 3623, 4223, 4551, 5741, 5878, 6599, 11349, 12102, 17811, 19798, 20559, 26887, 32499, 40626, 43151, 49194, 52859, 98462, 101962, 126754, 133062, 147346, 217034, 279227, 345867, 362466, 378595, 448102, 520923, 602565, 656935, 791502, 959671 [1000000] 1570718 L1862, 1946322, 2150802, 3060238 L2484

113   8, 14, 74, 80, 274, 334, 590, 608, 614, 650, 1016, 1814, 1904, 4400, 5474, 144866, 174898, 343214, 422866, 464386, 572966, 1389674, 1425998 [1500000] 1627496, 1721438, 3409934, 3628034 L2484

115   1, 3, 11, 13, 19, 21, 31, 49, 59, 69, 73, 115, 129, 397, 597, 623, 769, 1131, 4581, 6229, 13477, 20995, 24541, 31089, 48535, 57375, 87151, 98543, 267443, 357829, 830103 [1000000] 1141719 L1959, 1524183 L2074

117   1, 2, 4, 6, 12, 16, 18, 20, 22, 24, 37, 40, 48, 49, 57, 62, 154, 172, 184, 236, 265, 374, 409, 445, 478, 664, 718, 928, 1186, 1369, 1804, 2006, 2140, 2618, 4456, 4846, 12604, 17680, 18318, 18812, 20320, 20660, 21494, 24977, 27749, 30734, 31720, 41742, 51928, 54216, 60386, 61882, 64408, 72078, 111698, 129820, 135318, 151594, 225165, 373045, 511361, 560848, 697458, 834916, 877874 [1000000] 1104138 L1959, 1210282 L2055, 1302764 L1959, 1554601 L3519, 1618434 L384, 2117600 L1959

119   12, 16, 52, 160, 192, 216, 376, 436, 266136, 401552, 624896 [1000000] 1122472, 1256952 L2338, 2468556, 3571416, 3698412 L2484

121   1, 3, 21, 27, 37, 43, 91, 117, 141, 163, 373, 421, 1581, 2035, 10701, 18931, 21307, 51195, 64579, 156541, 302097, 334257, 368059, 383061, 410131, 494317, 541621, 990219, 1039965, 1526097, 1589157, 1695499, 1954243, 2033941, 4553899 [9645000]

123   2, 3, 11, 15, 23, 24, 27, 35, 71, 84, 108, 122, 123, 138, 236, 242, 290, 392, 500, 611, 747, 771, 1106, 1490, 3560, 5111, 6066, 8660, 8927, 19451, 19730, 28316, 30471, 49515, 93762, 117083, 168435, 206663, 249242, 255402, 261530, 355727, 389052, 516456, 518540, 521031, 939098, 958050, 968927 [1000000] 1225115, 1241690 L1959, 1779728 L3967

125   2, 4, 44, 182, 496, 904, 1196, 3034, 4004, 5474, 18122, 21952, 24874, 27614, 31166, 35386, 44234, 51104, 96346, 100966, 109454, 123634, 388934, 418034, 659314, 918494 [1000000] 1398712 L2101, 1963964 L1959, 2037752 L2444

127   25, 113, 39545, 170393, 220417 [1000000] 1398889 L486, 2346377 L282, 6836153 L1862

129   1, 3, 4, 5, 8, 9, 12, 16, 28, 51, 56, 59, 72, 73, 88, 93, 105, 148, 165, 292, 368, 445, 635, 771, 773, 940, 1173, 1965, 2661, 3092, 5001, 5091, 8741, 9773, 13960, 15328, 19408, 19911, 21228, 34876, 37341, 38564, 39055, 39152, 45395, 68825, 72360, 78365, 126303, 130240, 150808, 214985, 254975, 292573, 310619, 314188, 331384, 356373, 398288, 536615, 603488, 690893 [1000000] 1376223 L1959

131   2, 14, 34, 38, 42, 78, 90, 178, 778, 974, 1878, 3718, 4050, 5466, 6478, 35662, 40046, 56346, 98626, 131026, 138658, 603738 [1000000] 1283258 L1862

133   3, 11, 15, 19, 31, 59, 75, 103, 163, 235, 375, 615, 767, 1223, 1411, 26655, 47351, 75027, 83323, 121571, 238163, 312359, 359915, 471455, 734835, 809755 [1000000] 1065655 L632, 1436963 L2074, 1609799, 1843619 L1959

135   1, 9, 10, 13, 16, 21, 24, 34, 54, 153, 177, 184, 226, 238, 286, 334, 586, 618, 870, 3151, 3397, 4987, 5160, 14737, 15309, 15319, 16870, 29430, 39298, 40117, 56443, 58449, 77845, 105870, 127405, 170613, 183373, 235315, 245754, 259951, 437544, 474178, 525544, 876997, 959059, 961897 [1000000] 1288177, 2180256 L1959

137   2, 18, 38, 62, 2180, 2900, 3132, 3462, 3578, 5724, 5810, 18468, 30044, 36122, 37610, 43782, 310790, 1849238 [2000000]

139   1, 5, 7, 9, 15, 19, 21, 35, 37, 39, 41, 49, 69, 111, 115, 141, 159, 181, 201, 217, 487, 567, 677, 765, 811, 841, 917, 1279, 1407, 1505, 1521, 1587, 2047, 2469, 2649, 3019, 7427, 10257, 33685, 34479, 35177, 43641, 49211, 65031, 84907, 90231, 95021, 124375, 176425, 224947, 382441, 451367 [1000000] 1016619 L323, 1242661 L2074, 1376635 L384

141   1, 2, 7, 10, 11, 13, 38, 46, 61, 170, 299, 445, 815, 983, 4237, 6146, 7255, 7459, 7585, 8411, 8647, 14855, 20338, 21671, 29293, 89318, 92498, 98686, 121142, 250271, 619742, 878798 [1000000]

143   2, 4, 6, 8, 12, 18, 26, 32, 34, 36, 42, 60, 78, 82, 84, 88, 154, 174, 208, 256, 366, 448, 478, 746, 1178, 1290, 2284, 3606, 35706, 36920, 45882, 47308, 70932, 96278, 111886, 144736, 303284, 374626, 968622 [1000000] 1214022, 1336358, 1406788, 1507352, 1932112 L1828, 2007888 L384

145   5, 13, 15, 31, 77, 151, 181, 245, 445, 447, 883, 1037, 3557, 43733, 290861, 464887, 530181, 972835 [1000000] 1807767 L840

147   1, 2, 4, 5, 12, 25, 33, 40, 44, 53, 60, 74, 92, 133, 177, 397, 453, 669, 977, 2226, 2612, 3230, 3314, 5001, 5333, 5376, 7384, 7924, 10265, 18349, 19554, 21854, 30426, 33533, 49280, 70530, 92445, 105789, 177017, 198692, 212496, 464300 [1000000] 1273684, 1374216, 1499333 L1959

149   4, 16, 48, 60, 240, 256, 304, 2644, 3720, 25132, 39472, 212460, 592968 [1000000] 1054092, 1138804 L1959, 1541152 L384, 1945668 L3967

151   5, 221, 641, 2783, 6423, 9053, 23271, 29159, 88409, 113655, 241271, 263895 [1000000] 4424321 L1884

153   3, 4, 6, 7, 10, 11, 12, 19, 20, 22, 23, 39, 66, 106, 120, 124, 151, 312, 411, 447, 474, 507, 574, 671, 787, 826, 979, 1690, 1954, 2047, 3003, 4323, 4426, 5903, 6267, 6846, 14550, 17470, 21520, 31711, 36724, 45291, 45654, 51778, 55420, 63439, 68451, 78423, 109696, 125128, 130710, 169836, 192900, 195028, 383083, 545716, 800567, 894504 [1000000] 1215327 L2055, 1245154 L1959

155   2, 8, 14, 16, 44, 46, 82, 172, 196, 254, 556, 806, 2828, 4462, 5558, 8086, 8216, 9862, 12026, 12842, 26054, 57044, 85364, 105098, 127262, 296822, 310312, 310622, 353384, 374288, 496604 [1000000] 1207424 L1959

157   1, 5, 33, 97, 121, 125, 305, 445, 473, 513, 1581, 3077, 3517, 6345, 8797, 15265, 16641, 32185, 32581, 43905, 77025, 84377, 202345, 230777, 234401, 473073, 802321, 869073 [1000000] 1085121 L1959

159   1, 4, 5, 11, 24, 25, 41, 67, 185, 215, 235, 277, 445, 465, 647, 844, 1420, 1505, 2385, 6451, 7475, 9549, 10800, 11585, 16079, 47795, 51839, 89285, 106481, 186331, 201429, 293235, 338477, 442189, 482581, 611020, 736144, 766421 [1000000] 1004981 L2074, 1240229, 2081069 L1959

161   2, 6, 18, 22, 34, 54, 98, 122, 146, 222, 306, 422, 654, 682, 862, 1010, 1346, 1582, 7890, 9714, 12498, 21742, 27810, 34798, 74382, 97746, 205370, 249710, 371426, 394974, 447330, 587570, 792702 [1000000] 1553570, 1859586 L177

163   3, 31, 63, 303, 4731, 31651, 45171, 96111, 105219, 341611, 577723 [1000000]

165   2, 3, 5, 6, 8, 11, 12, 15, 18, 23, 27, 36, 39, 44, 45, 56, 59, 63, 81, 84, 150, 188, 264, 275, 282, 299, 321, 338, 390, 552, 657, 722, 930, 1139, 1388, 1491, 1625, 2196, 2519, 2541, 2736, 2766, 3630, 4202, 4875, 5643, 6150, 10134, 20328, 20805, 22902, 25770, 30918, 30978, 33389, 40901, 54311, 62145, 67224, 83811, 89465, 93846, 109719, 148758, 167457, 173396, 221667, 236051, 246426, 325922, 396642, 487961, 840038, 889902 [1000000] 1036898, 1162671, 1235490, 1462368 L2101, 1521629, 2207550, 2500130, 2717378 L2055

167   4, 6, 8, 10, 16, 32, 38, 42, 52, 456, 576, 668, 1082, 1512, 1614, 1922, 2072, 2672, 3210, 3616, 3682, 7754, 7906, 10536, 12282, 12338, 25162, 25460, 49672, 66318, 132738, 133188, 225232, 275680, 314000, 315872, 832962, 885664, 934492, 945934 [1000000] 1288922 L1862, 3077568 L1862

169   1, 5, 11, 17, 67, 137, 157, 203, 209, 227, 263, 917, 1039, 2581, 3659, 3691, 4337, 8249, 8927, 9749, 20807, 33439, 158003, 192323, 458099, 628357, 761749 [1000000] 1243903 L282, 1590665 L2074, 2193049, 2917805 L2484

171   2, 3, 5, 10, 25, 29, 39, 73, 103, 109, 123, 198, 378, 434, 825, 925, 1265, 1802, 2134, 2199, 2629, 3154, 3490, 4093, 4814, 5490, 7029, 9074, 9298, 10249, 10505, 12185, 16382, 19030, 26237, 28890, 40123, 61483, 129309, 133527, 182745, 259262, 269539, 290403, 576733, 590818, 684003 [1000000] 1362662 L1959, 1575999 L384

173   2, 4, 6, 16, 32, 50, 76, 80, 96, 104, 162, 212, 230, 260, 480, 612, 1044, 1440, 1910, 2488, 3140, 3628, 5284, 6332, 7494, 9762, 27100, 29632, 37732, 44036, 47284, 65970, 116870, 145956, 360004, 409470, 483932, 632000, 828808 [1000000] 1098914 L2432, 1504740 L2074

175   1, 3, 9, 21, 23, 41, 47, 57, 69, 83, 193, 249, 291, 421, 433, 997, 1269, 1619, 1893, 2457, 3527, 9579, 14699, 15677, 16479, 21293, 30729, 33609, 47437, 143691, 244073, 244393, 282719, 309593, 387513, 529417 [1000000] 1065181, 1162313 L1959, 1571521 L2074, 1711779 L384

177   1, 12, 13, 24, 25, 34, 36, 48, 61, 66, 196, 264, 376, 672, 732, 877, 1032, 1104, 1177, 1242, 2664, 7756, 35034, 37728, 57796, 96978, 98353, 277458, 282546, 418816, 582454, 653686, 663601, 665874, 668682, 769026 [1275000] 1334422, 1775674 L2101

179   8, 68, 108, 20780, 25488, 25656, 38684, 57096, 159108, 236856, 490800, 507816 [1000000] 1464720 L2074, 1636808 L2444

181   3, 5, 7, 9, 11, 17, 23, 31, 35, 43, 47, 83, 85, 99, 101, 195, 267, 281, 363, 391, 519, 623, 653, 673, 701, 1091, 1147, 1565, 3273, 3661, 3923, 4127, 4783, 5267, 5345, 5747, 6151, 6299, 7569, 9033, 11843, 14139, 14175, 15779, 21557, 32295, 49823, 60979, 65195, 132367, 133895, 186827, 212647, 268299, 293551, 308759, 327407, 334579, 400849, 458303, 491487, 553989, 563997, 655067, 823853 [1000000] 1032023 L323, 1186763, 1250169 L2074, 1281453 L2484

183   4, 11, 22, 31, 52, 56, 59, 67, 88, 104, 251, 572, 724, 1379, 2696, 3616, 3928, 8518, 9239, 9419, 10547, 20396, 42136, 43936, 69422, 313127, 330275, 358568, 411974 [1000000] 1095896 L2444, 1219415 L2055, 1618775, 1707182 L384

185   2, 6, 10, 18, 26, 40, 46, 78, 230, 542, 1286, 1550, 1728, 2138, 2226, 2686, 3742, 5002, 12730, 42936, 64290, 86602, 86686, 109346, 113966, 133346, 211876, 229850, 238230, 294662, 391322, 459352, 612412 [1000000] 1234730, 2127966 L1959

187   1, 17, 21, 53, 253, 2173, 3313, 5197, 5333, 6929, 28017, 40429, 47877, 80617, 110513, 139673, 141201, 263093, 379649, 483153, 618293, 645401, 739321, 838101 [1000000] 1461697, 2172693 L1959

189   3, 4, 5, 8, 11, 12, 24, 33, 44, 48, 56, 76, 93, 108, 172, 216, 304, 363, 401, 420, 500, 545, 581, 756, 875, 1552, 1931, 2740, 2787, 2825, 3443, 5235, 8444, 10523, 12755, 14585, 21161, 24404, 25880, 31316, 31965, 32040, 34233, 34323, 36443, 54436, 69403, 175901, 213856, 235068, 237968, 239891, 246356, 255372, 323900, 480835, 487601, 496835, 888200, 891876, 984683 [1000000] 1547744 L384

191   226, 3594, 59770, 240802 [1000000] 4203426 L2484

193   3, 15, 27, 63, 87, 135, 543, 1383, 1455, 7767, 18543, 22143, 40967, 198719, 405483, 439107, 880287 [1000000] 1268399 L1959

195   1, 3, 4, 6, 8, 9, 10, 14, 23, 26, 28, 35, 44, 46, 50, 55, 60, 63, 65, 78, 99, 100, 106, 111, 163, 178, 180, 364, 569, 825, 838, 958, 1292, 1425, 1531, 2020, 2259, 2434, 2492, 2520, 3310, 3624, 4195, 4206, 5103, 5139, 5478, 7198, 7335, 8123, 9903, 12239, 12826, 12830, 16954, 22535, 28943, 29238, 31470, 40958, 46815, 52983, 69094, 76259, 84016, 92376, 100974, 113681, 132478, 185009, 196785, 197051, 205668, 225594, 243999, 272695, 311215, 561444, 915929, 963608 [1000000] 1369746 L2101, 1667115, 1983875 L1828, 4373994, 4685711 L5175

197   2, 16, 20, 22, 40, 82, 112, 178, 230, 302, 304, 328, 374, 442, 472, 500, 580, 694, 1264, 1634, 1784, 3080, 5722, 7174, 8908, 18502, 18746, 39094, 99338, 170066, 202534, 325610, 510940, 569222, 635042, 825188 [1000000] 1796284 L1862, 4765318 L5175

199   1, 5, 7, 15, 19, 23, 25, 27, 43, 65, 99, 125, 141, 165, 201, 211, 331, 369, 389, 445, 461, 463, 467, 513, 583, 835, 1071, 1085, 1107, 1187, 1197, 1491, 1513, 2505, 3859, 3941, 5989, 9693, 13125, 17009, 19459, 33147, 46433, 51091, 72813, 105169, 118531, 153127, 263051, 301193, 332985, 531357, 541753, 548533, 560987, 581119 [1000000] 1354385, 1379329, 1412913, 1647595 L2074, 2518871, 2835667 L2484

201   1, 3, 9, 10, 14, 17, 21, 37, 57, 66, 70, 87, 94, 99, 123, 141, 147, 183, 207, 246, 269, 291, 313, 341, 361, 363, 615, 743, 1318, 1515, 1798, 2413, 2797, 3254, 3826, 7574, 11770, 15029, 21313, 21543, 21637, 30289, 31078, 37511, 70919, 80238, 81215, 81459, 85995, 121215, 134735, 147429, 164255, 193141, 254039, 285534, 302666, 356889, 374891, 376594, 382059, 432315, 434118, 484583, 520586, 540810, 775453, 799611, 840735 [1000000] 1183137 L282, 1249030, 2421514 L1862

203   2, 22, 82, 142, 190, 232, 314, 1682, 2302, 5598, 6632, 6720, 11080, 22094, 31310, 53088, 105890, 115350, 235480, 248862, 313474, 455190, 480918, 676032, 809848, 859602 [1000000]

205   1, 9, 39, 45, 49, 67, 75, 99, 129, 159, 177, 445, 721, 771, 829, 849, 865, 1971, 3045, 8397, 9019, 10749, 21037, 30529, 38349, 46257, 53577, 64695, 77451, 128019, 420297, 462261, 749859, 756705 [1000000] 1019679 L632, 1275889, 1300401 L384, 1537779, 1666435 L2444

207   2, 9, 12, 17, 20, 21, 50, 53, 132, 168, 341, 360, 381, 501, 1065, 1169, 1545, 2109, 2520, 2661, 3149, 4077, 11252, 21588, 21692, 39509, 52685, 67196, 87708, 232436, 372312, 417818, 481385, 507833, 643478, 912512 [1000000] 1453970 L330

209   4, 8, 16, 28, 40, 52, 80, 148, 328, 8464, 11704, 52372, 60172, 675232, 692692, 921484 [1000000] 1207276, 1647640 L2338

211   1, 13, 23, 37, 43, 67, 83, 151, 661, 811, 3937, 5027, 5365, 9307, 11971, 60295, 89071, 89303, 262877, 680135, 842347 [1000000]

213   4, 10, 19, 30, 36, 47, 80, 82, 92, 100, 103, 114, 126, 140, 144, 152, 170, 210, 264, 514, 726, 967, 1662, 2423, 3116, 3974, 4396, 5735, 6680, 6707, 9947, 23814, 24330, 43074, 43775, 77922, 98179, 120362, 171154, 303670, 709727, 760942 [1000000] 1433675, 1632054, 1728847, 2064426, 2277870, 2328530, 2493004 L1863

215   2, 6, 14, 16, 38, 60, 64, 124, 198, 200, 210, 296, 890, 1486, 1646, 1848, 1906, 2540, 6908, 10430, 10848, 13636, 17858, 18386, 18916, 20802, 23936, 30620, 32858, 34860, 34990, 36978, 54394, 55298, 58822, 88508, 109130, 224036, 331784, 714542, 999170 [1000000] 2131988, 2751022, 3628962 L2484

217   1, 9, 21, 133, 233, 1393, 1453, 1769, 2041, 3985, 17501, 80341, 148089, 205525, 327829, 377581, 398605, 663509 [1000000] 1026869 L632, 1059961 L639, 2092673 L2484

219   7, 81, 381, 412, 657, 853, 1317, 3261, 3768, 6081, 14017, 19993, 25863, 31801, 40113, 48877, 558313 [1000000] 2178673 L5313

221   2, 6, 42, 354, 402, 914, 1562, 10382, 34986, 81042, 104846, 730986, 749166 [1000000]

223   3, 19, 91, 211, 699, 819, 1323, 4635, 38019, 307755 [1000000] 3264459 L1884, 5105835 L2484

225   1, 23, 25, 53, 65, 139, 149, 481, 613, 1343, 1601, 2125, 4385, 9005, 9169, 57013, 99821, 113893, 162653, 206293, 491135 [1000000] 1123975, 1177945, 1395649, 1620601 L2074

227   2, 4, 8, 12, 14, 26, 32, 80, 124, 230, 284, 562, 866, 1830, 2630, 3122, 3428, 6278, 9900, 19888, 20092, 22706, 29088, 31412, 44402, 47914, 53120, 102330, 135164, 299306, 345918 [1000000] 1170724 L268

229   1, 3, 7, 19, 25, 27, 71, 97, 231, 235, 291, 295, 313, 347, 491, 511, 531, 571, 803, 1499, 1523, 1607, 1743, 2161, 2231, 3113, 5511, 5863, 6039, 8055, 8443, 9707, 12155, 12195, 21049, 24271, 34403, 34879, 56491, 58839, 162583, 207863, 220147, 560259, 586795, 715459, 969073 [1000000] 1670843 L1862, 2331017, 2581111 L1862

231   1, 3, 6, 7, 21, 29, 46, 49, 54, 57, 73, 90, 118, 169, 207, 267, 287, 333, 354, 366, 370, 463, 493, 497, 507, 655, 729, 735, 757, 1054, 1377, 1770, 2098, 2886, 3225, 3611, 3625, 3657, 4849, 5706, 5749, 5771, 7110, 8395, 12150, 15658, 16182, 16693, 17363, 20279, 27619, 35953, 39733, 53949, 75349, 80638, 82887, 92154, 162154, 169955, 205017, 224297, 248359, 345183, 369583, 465391, 498961, 535713, 668218, 749301, 959375 [1000000] 1169250, 1278235 L2338, 1332103, 1612617, 1860743, 2335281 L1862

233   4, 10, 12, 22, 24, 34, 48, 60, 100, 562, 574, 640, 838, 852, 2002, 4198, 4932, 5860, 10492, 13834, 17398, 25944, 133030, 179992 [1000000] 1700734 L426, 2426512 L2484

235   3, 9, 15, 75, 143, 425, 693, 803, 903, 953, 1079, 1613, 1667, 2937, 7157, 7899, 136767, 178739, 191973, 231927, 312345, 315773, 556077 [1000000] 1718787, 1824515 L2444, 2163273 L5313

237   2, 5, 9, 13, 17, 18, 25, 26, 30, 38, 69, 88, 89, 94, 133, 198, 205, 289, 360, 402, 438, 445, 498, 637, 914, 934, 973, 1265, 2965, 3813, 6096, 11560, 13977, 19816, 33673, 43128, 47869, 50370, 70649, 72809, 82453, 84904, 89210, 102618, 109334, 181610, 421862, 729654, 832053 [1000000] 1366717, 1371630, 1503376, 1512216 L1828

239   4, 92, 25780, 104956, 140116, 356300 [1000000] 2421404 L2484

241   11, 17, 19, 39, 69, 321, 653, 1109, 3819, 5729, 9659, 9911, 13217, 16707, 22307, 65107, 75419, 97587, 99667, 336197, 407709, 497679 [1000000] 1208307 L2338, 1398869 L1828, 2135279, 2522801, 2857313, 3815727 L2484

243   2, 6, 8, 11, 12, 18, 24, 27, 36, 38, 44, 56, 58, 62, 116, 134, 162, 242, 274, 348, 358, 478, 512, 548, 658, 824, 1242, 1287, 1531, 2846, 3343, 4818, 4856, 5051, 6024, 7431, 7434, 9432, 9667, 13059, 13482, 18111, 19004, 33571, 40174, 41467, 53206, 57978, 61438, 85392, 86468, 116103, 148191, 152454, 187966, 206302, 387836, 510491, 518736, 539016, 616662, 670891, 744442 [1000000] 1368212, 1431443, 1777467, 1923567 L2055, 2147387 L2444

245   4, 6, 28, 76, 96, 124, 294, 396, 726, 868, 928, 1400, 3056, 6594, 12588, 15708, 88576, 144288, 238468, 606706, 619938, 943088 [1000000] 1367128, 1407538, 1730188 L1862

247   133, 277, 805, 2341, 68845, 952069 [1000000] 1529485 L2338

249   8, 9, 12, 41, 57, 156, 201, 249, 612, 956, 1617, 2064, 2091, 2547, 4512, 5696, 9608, 11444, 20556, 33896, 77079, 89004, 251036 [1000000] 2001627 L1862

251   6, 110, 1302, 4598, 74030, 359790, 907478 [1000000] 1269198 L251

253   71, 1007, 27623 [1000000] 1722623 L145, 1965215 L3345

255   1, 2, 3, 4, 6, 11, 12, 24, 40, 41, 61, 75, 86, 95, 158, 207, 223, 242, 276, 338, 390, 488, 673, 804, 1084, 1332, 1467, 1588, 2894, 3650, 4367, 6001, 6372, 10162, 10235, 10660, 12988, 17470, 18323, 18673, 24137, 24335, 24797, 28573, 35636, 36275, 44015, 49167, 55106, 58106, 58202, 58476, 90852, 118030, 120342, 138101, 154397, 206716, 230830, 259537, 281366, 405467, 450144, 450762, 481837, 577903, 592080, 601910, 635715, 962590 [1000000] 1037444, 1422283 L2074, 1763221 L2484

257   4, 6, 10, 16, 24, 60, 66, 82, 184, 256, 324, 424, 632, 756, 814, 872, 1114, 1702, 3282, 3420, 3862, 3864, 4162, 4510, 7030, 8410, 47974, 59236, 61084, 78034, 133980, 194312, 286832, 541402 [1000000] 1064062 L632, 1658254 L2444, 2108554 L5313

259   5, 7, 9, 27, 33, 37, 59, 179, 289, 389, 917, 1885, 2987, 3683, 4807, 8709, 10153, 11067, 11665, 18909, 22085, 32489, 36233, 143133, 202609, 278567, 316403, 347159, 423467, 425257, 427623, 613845, 914173 [1000000] 1695723 L2444

261   1, 3, 6, 9, 21, 34, 43, 49, 114, 115, 178, 322, 411, 438, 454, 589, 598, 754, 801, 1173, 1546, 1699, 2155, 2994, 4038, 5439, 6442, 10699, 12274, 13314, 13911, 19309, 28675, 29658, 31173, 33606, 65763, 90861, 116706, 185823, 618918, 660709, 802123, 827599, 850383 [1000000] 1843555 L1828

263   2, 6, 26, 114, 134, 180, 542, 882, 936, 2382, 3702, 5082, 6722, 15590, 19910, 26964, 29148, 48062, 54870, 69642, 73788, 79922, 95460, 215712, 916202 [1000000] 1587302 L2101, 1904406 L2484

265   11, 17, 19, 21, 37, 49, 59, 145, 163, 289, 587, 737, 1029, 1061, 1873, 2265, 3271, 3943, 5429, 6067, 6133, 6277, 10101, 10967, 11497, 18799, 27551, 34883, 37459, 44897, 74743, 113473, 323083, 763957, 856293 [1000000] 2051155, 2258071, 3564373, 3765189 L2484

267   4, 5, 8, 14, 16, 17, 20, 26, 28, 34, 40, 44, 53, 58, 74, 80, 86, 94, 128, 130, 140, 149, 178, 365, 448, 878, 920, 1217, 2417, 3400, 3725, 3934, 4454, 5276, 7360, 9544, 11860, 16270, 32038, 37468, 116537, 117358, 119006, 147838, 198536, 211358, 216137, 238670, 287537, 415916, 471230, 607688, 662524, 705028 [1000000] 1429060, 1629148, 1632893, 1705793, 1909876 L1828

269   8, 24, 272, 2304, 3840, 3848, 58748, 63992, 104768, 264932, 628904 [1000000] 1204740 L282

271   1, 7, 21, 55, 175, 235, 2289, 12419, 19917, 19971, 21979, 54007, 66241, 68757, 98595, 241211, 274509, 322971, 342349, 470529, 786059 [1000000] 1004527 L2338, 2223601, 3079189 L2484

273   2, 6, 10, 15, 22, 26, 31, 42, 47, 98, 107, 123, 126, 175, 178, 203, 223, 230, 239, 279, 371, 402, 519, 607, 755, 830, 871, 927, 980, 1527, 1770, 2007, 2218, 2247, 2250, 3982, 4367, 4510, 9716, 13018, 20906, 26340, 40186, 63332, 84599, 119743, 156155, 206118, 238687, 522287, 742930, 930663 [1000000] 1209170 L2338, 1352006, 1356347, 1365107, 1766747, 1788926 L1828, 2024810 L5118

275   6, 12, 16, 22, 34, 40, 72, 198, 220, 348, 376, 552, 594, 814, 972, 3168, 3702, 3834, 4642, 5116, 9720, 20434, 53692, 123678, 147802, 204516, 398928 [1000000] 1846390 L2444

277   5, 21, 101, 105, 333, 461, 933, 1041, 2157, 3321, 5177, 5513, 5781, 9737, 11505, 16457, 17357, 490805, 937325 [1000000] 1583097 L2484

279   1, 4, 12, 29, 35, 56, 77, 93, 209, 221, 412, 441, 460, 899, 1859, 1896, 2504, 5315, 6520, 9324, 9460, 11336, 11760, 12317, 21080, 25029, 27064, 29236, 35396, 42791, 55851, 57752, 61551, 73272, 117820, 123253, 162705, 201152, 277455, 318317, 455704, 479437, 587881, 616044 [1000000] 1003356, 1116600, 1202283 L2338, 1590369 L1828

281   2, 38, 62, 82, 598, 890, 1810, 2242, 2450, 17786, 51470, 65558, 91870, 93850, 628898 [1000000] 1009502 L282, 1453426 L2101, 1860862 L2484

283   11, 55, 91, 99, 235, 319, 1835, 16731, 25471, 31199, 123975, 149351 [1000000] 1702599 L426, 1879051, 6804731 L2484

285   1, 7, 8, 12, 19, 23, 41, 44, 47, 62, 63, 79, 197, 293, 472, 788, 956, 1083, 1232, 1533, 1539, 1673, 2399, 2827, 2993, 3327, 3816, 4072, 4152, 4156, 4392, 4436, 4492, 5079, 5112, 5747, 7193, 7604, 7934, 8640, 9699, 10361, 10870, 12374, 16197, 18120, 29199, 35807, 43443, 43817, 44627, 55047, 61064, 92091, 113660, 120326, 134121, 145143, 149907, 155107, 161183, 163071, 211544, 278758, 353143, 359364, 376840, 392397, 780300, 881240, 915913 [1000000] 1011134, 1136696, 1145224, 1190854 L2338, 1563167, 1565353 L3202, 1801236 L5313

287   4, 6, 8, 14, 16, 18, 28, 64, 114, 248, 644, 978, 1214, 1928, 1954, 3604, 4234, 6964, 7466, 12316, 14464, 35106, 92986, 525378 [1000000] 1226144 p279

289   1, 3, 13, 21, 25, 33, 73, 93, 115, 127, 397, 1255, 3751, 3801, 4771, 8997, 10063, 11253, 18663, 27525, 28009, 34041, 55693, 60243, 67891, 77391, 90201, 501991, 509401, 610737, 728205 [1000000] 1098117 L6, 1587151 L1828

291   2, 5, 9, 11, 17, 21, 29, 30, 33, 50, 59, 62, 137, 161, 281, 290, 533, 842, 1410, 1553, 4794, 5529, 5661, 7013, 7470, 19605, 63477, 72513, 152942, 201494, 220562, 236117, 291705, 313433, 372342, 386430, 389225, 531347, 565917, 810347, 832410, 934097, 996371 [1000000] 1257405 L2338, 1534413, 1705173, 1907541 L2484

293   2, 26, 34, 66, 124, 560, 600, 1344, 1714, 1904, 5200, 7602, 10344, 63484, 196258, 213346, 243698, 421330, 517242 [1000000] 1775450 L2074

295   5, 23, 35, 53, 59, 65, 113, 149, 205, 275, 365, 503, 1019, 2105, 2473, 2999, 4813, 8873, 10985, 16495, 32065, 47689, 52727, 63413, 177695, 374035, 389903 [1000000] 1832129 L2444

297   1, 2, 4, 8, 9, 10, 14, 18, 24, 25, 30, 42, 48, 49, 56, 90, 97, 182, 336, 348, 434, 546, 769, 1148, 1294, 1394, 1654, 2265, 2966, 3608, 4201, 4878, 5449, 7944, 8889, 9114, 10508, 11224, 15706, 17730, 18564, 21122, 21806, 21882, 24462, 24602, 29384, 35306, 60114, 60282, 61370, 65456, 82782, 225274, 227030, 227870, 253070, 283484, 378102, 492450, 493726 583464, 799620, 899234 [1000000] 1655042, 1745377 L2074

299   4, 8, 12, 32, 52, 80, 84, 112, 140, 144, 532, 5388, 6308, 19752, 34456, 35820, 45780, 119852, 211324, 233188, 295640 [1000000] 1355004 L426


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