.LOG 3*2^n-1 250k to 260k, 272k to 300k, 360k to 365k, 370k to 375k, 435k to 440k, 445k to 450k, 470k to 475k, 503333 to 506666, 550k to 553333, 600k to 602500, 620k to 622500 8/25/3 [none] 5*2^n-1 100k to 126k, 191500 to 200k, 260k to 500k 3/4/9 [350028] 7*2^n-1 100k to 126k, 193500 to 227361, 260k to 500k 2/19/9 [363929, 372897] 9*2^n-1 100k to 126k, 191500 to 200k, 260k to 500k 3/4/9 [103059, 275859, 384243, 484975] 11*2^n-1 48k to 95k, 100k to 126k, 145k to 150k, 260k to 500k 2/15/9 [67850, 74726, 374114] 13*2^n-1 48k to 60k, 100k to 126k, 260k to 500k 3/2/9 [51875, 55343] 15*2^n-1 100k to 126k, 260k to 500k 3/9/9 [103940, 104177, 108124, 115327, 454681] 17*2^n-1 100k to 126k 1/23/9 [117784] 19*2^n-1 to 520k 3/5/9 [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] 21*2^n-1 to 500k 3/18/9 [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] 23*2^n-1 48k to 60k, 100k to 126k, 151k to 226k, 260k to 500k 3/8/9 [103386, 323668, 458362, 496422] 25*2^n-1 48k to 200k, 260k to 500k 3/10/9 [130407] 27*2^n-1 100k to 126k, 175k to 500k 2/20/9 [117901, 175852, 282700, 340682, 444622] 29*2^n-1 100k to 126k, 154500 to 500k 2/9/9 [347896] 31*2^n-1 to 500k (recheck 300k to 434k 1/23/9) [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(De Troia), 421129(De Troia)] 33*2^n-1 43200 to 250k 7/24/4 [51326, 57695, 63115, 67182, 109848, 128635, 136971, 173110, 174182] 35*2^n-1 100k to 260k 1/27/9 [112390, 118510, 246732, 252910] 37*2^n-1 200k to 210k 7/26/3 [none] 41*2^n-1 110k to 120k [none] 43*2^n-1 110k to 120k, 200k to 210k 8/1/4 [none] 45*2^n-1 100k to 260k 2/2/9 [103546, 103912, 104452, 125132, 139883, 174102, 249065] 47*2^n-1 100k to 260k 2/4/9 [none] 49*2^n-1 100k to 260k 2/9/9 [212745] 51*2^n-1 110k to 120k, 200k to 210k 8/1/4 [none] 53*2^n-1 110k to 120k 4/22/3 [none] 55*2^n-1 110k to 120k, 200k to 210k 8/1/4 [none] 57*2^n-1 100k to 260k 2/17/9 [162538, 173585, 239854] 59*2^n-1 100k to 260k 2/20/9 [134240, 145532] 61*2^n-1 100k to 260k 3/1/9 [none] 65*2^n-1 200k to 210k 8/1/4 [none] 67*2^n-1 110k to 120k, 200k to 210k 8/1/4 [none] 71*2^n-1 200k to 210k 8/3/4 [202642] 77*2^n-1 100k to 260k 3/4/9 [217956, 223512] 79*2^n-1 100k to 260k 3/9/9 [ 214453, 248055] 81*2^n-1 100k to 260k 3/16/9 [153455, 165341, 183167, 190349, 240743, 253385] 83*2^n-1 43k to 210k 8/2/4 [53348, 55808, 79826, 105282, 112418, 129804, 144456] 85*2^n-1 200k to 210k 8/3/4 [none] 87*2^n-1 20k to 210k 8/4/4 [21758, 23554, 24582, 27526, 28581, 29306, 29588, 36101, 36681, 41378, 45689, 55769, 56049, 65676, 77361, 96426, 110189, 128630, 142738, 154352, 155794, 188689] 91*2^n-1 40k to 300k 3/23/9 [45373, 53441, 77013, 86329, 89853, 90341, 104783, 169779, 187407, 245989] 93*2^n-1 75k to 260k 3/30/9 [78192, 81294, 103744, 107991, 174412, 176479, 203728, 205158, 251199] 95*2^n-1 100k to 260k 3/25/9 [140840, 259076] 97*2^n-1 100k to 260k 4/3/9 99*2^n-1 100k to 260k 4/16/9 [118711, 170867, 175921] 101*2^n-1 100k to 260k 4/7/9 [none] 103*2^n-1 100k to 260k 4/9/9 105*2^n-1 100k to 260k 4/16/9 [108867, 145422, 201556] 107*2^n-1 100k to 260k 4/19/9 [153552, 162502] 109*2^n-1 100k to 260k 4/20/9 [141227] 111*2^n-1 100k to 260k 4/27/9 [101962, 126754, 133062, 147346, 217034] 115*2^n-1 71k to 260k 4/27/9 [87151, 98543] 117*2^n-1 100k to 260k 5/14/9 [111698, 129820, 135318, 151594, 225165] 119*2^n-1 100k to 260k 5/4/9 [none] 121*2^n-1 100k to 260k 5/13/9 [156541] 123*2^n-1 100k to 260k 5/14/9 [117083, 168435, 206663, 249242, 255402] 125*2^n-1 100k to 260k 5/14/9 [ 100966, 109454, 123634] 127*2^n-1 100k to 260k 5/14/9 [170393, 220417] 129*2^n-1 100k to 260k 5/26/9 [126303, 130240, 150808, 214985, 254975] 131*2^n-1 100k to 260k 5/17/9 [131026, 138658] 133*2^n-1 100k to 260k 5/26/9 [121571, 238163] 135*2^n-1 100k to 260k 5/26/9 [105870, 127405, 170613, 183373, 235315, 245754, 259951] 137*2^n-1 100k to 260k 5/26/9 [none] 139*2^n-1 100k to 260k 5/31/9 [124375, 176425, 224947] 141*2^n-1 100k to 260k 6/11/9 [121142, 250271] 143*2^n-1 100k to 260k 6/23/9 [111886, 144736 ] 145*2^n-1 100k to 260k 6/25/9 [none] 147*2^n-1 100k to 260k 7/23/9 [105789, 177017, 198692, 212496] 149*2^n-1 100k to 260k 7/23/9 [212460] 151*2^n-1 100k to 260k 8/7/9 [113655, 241271] 153*2^n-1 100k to 260k 8/7/9 [109696, 125128, 130710, 169836, 192900, 195028] 155*2^n-1 100k to 260k 8/13/9 [105098, 127262] 157*2^n-1 100k to 260k 8/18/9 [202345, 230777, 234401] 159*2^n-1 100k to 260k 8/18/9 [106481, 186331, 201429] 163 *2^n-1 200k to 210k 1/10/5 [none] 165*2^n-1 200k to 210k 1/10/5 [none] 167*2^n-1 101052 to 210k 1/10/5 [132738, 133188] 169*2^n-1 90745 to 210k 1/11/5 [158003, 192323] 173*2^n-1 40182 to 210k 1/11/5 [44036, 47284, 65970, 116870, 145956] 175*2^n-1 133559 to 210k 1/11/5 [143691] 177*2^n-1 70752 to 210k 1/11/5 [96978, 98353] 179*2^n-1 200k to 210k 1/11/5 [none] 181*2^n-1 200k to 210k 1/11/5 [none] 185*2^n-1 128100 to 210k 1/11/5 [133346] 187*2^n-1 200k to 210k 1/11/5 [none] 189*2^n-1 73401 to 200k 8/12/4 [175901] 219*2^n-1 200k to 210k 12/24/4 [none] 221*2^n-1 200k to 210k 12/24/4 [none] 223*2^n-1 200k to 210k 12/24/4 [none] 227*2^n-1 200k to 210k 12/24/4 [none] 229*2^n-1 160k to 210k 7/20/5 [162583, 207863] 233*2^n-1 200k to 230k 8/29/5 [none] 235*2^n-1 200k to 230k 8/29/5 [none] 237*2^n-1 200k to 230k 8/29/5 [none] 239*2^n-1 200k to 230k 8/29/5 [none] 241*2^n-1 200k to 230k 11/3/4 [none] 243*2^n-1 200k to 230k 11/8/4 [206302] 245*2^n-1 200k to 230k 11/2/4 [none] 247*2^n-1 200k to 230k 11/1/4 [none] 249*2^n-1 200k to 230k 11/1/4 [none] 255*2^n-1 100k to 130k 7/29/3 [118030, 120342] 257*2^n-1 100k to 130k 8/4/3 [none] 259*2^n-1 100k to 135k, 150k to 155k 2/6/4 [none] 261*2^n-1 100k to 135k, 150k to 155k 2/9/4 [116706] 263*2^n-1 100k to 135k, 150k to 155k 2/9/4 [none] 265*2^n-1 100k to 135k, 150k to 155k, 185k to 230k 1/22/5 [113473] 267*2^n-1 100k to 135k, 150k to 155k,160k to 180k 5/29/4 [116537, 117358, 119006] 269*2^n-1 100k to 130k 8/6/3 [104768] 271*2^n-1 16k to 130k, 175k to 180k, 195k to 200k 1/5/5 [19917, 19971, 21979, 54007, 66241, 68757, 98595] 273*2^n-1 120k to 130k, 150k to 155k, 170k to 175k, 195k to 230k 1/22/5 [206118] 275*2^n-1 145k to 155k, 210k to 230k 10/25/4 [147802] 277*2^n-1 145k to 155k, 165k to 200k, 205k to 230k 10/25/4 [none] 279*2^n-1 130k to 135k, 145k to 155k,165k to 230k 1/19/5 [201152] 281*2^n-1 16k to 135k, 145k to 155k, 165k to 190k, 195k to 230k 1/22/5 [17786, 51470, 65558, 91870, 93850] 283*2^n-1 120k to 135k, 145k to 200k 9/30/4 [123975,149351] 285*2^n-1 70k to 135k, 145k to 155k, 170k to 230k 1/15/5 [92091, 113660, 120326, 134121,145143,149907, 211544] 287*2^n-1 16k to 120k, 130k to 135k, 150k to 155k, 165k to 230k 1/18/4 [35106, 92986] 289*2^n-1 16k to 120k, 130k to 135k, 145k to 155k 3/15/4 [18663, 27525, 28009, 34041, 55693, 60243, 67891, 77391, 90201] 291*2^n-1 16k to 130k, 165k to 230k 1/22/5 [19605, 63477, 72513, 201494, 220562] 293*2^n-1 200k to 230k 1/22/5 [213346] 295*2^n-1 16k to 130k, 180k to 230k 1/24/5 [16495, 32065, 47689, 52727, 63413] 297*2^n-1 16k to 130k, 180k to 230k 1/24 /5 [17730, 18564, 21122, 21806, 21882, 24462, 24602, 29384, 35306, 60114, 60282, 61370, 65456, 82782, 225274, 227030, 227870] 299*2^n-1 110k to 130k, 150k to 155k, 165k to 230k 1/23/5 [119852, 211324] 301*2^n-1 60k to 70k 2/16/1 [none] 303*2^n-1 120k to 130k 5/29/3 [none] 305*2^n-1 120k to 130k, 150k to 200k 3/30/4 [none] 307*2^n-1 200005 to 230k 1/16/5 [none] 309*2^n-1 120k to 130k, 150k to 155k,165k to 230k 1/15/4 [174856] 311*2^n-1 110k to 130k 6/2/3 [116218] 313*2^n-1 60k to 70k, 100k to 110k, 120k to 130k, 150k to 155k,165k to 230k 1/16/5 [62203, 67363, 67767, 123731] 317*2^n-1 200k to 230k 1/16/5 [208398] 319*2^n-1 110k to 130k, 1 65k to 230k 1/15/5 [216579] 321*2^n-1 200k to 230k 1/18/5 [none] 323*2^n-1 120k to 130k, 150k to 155k,160k to 230k 1/14/5 [183190, 215192] 325*2^n-1 150k to 155k, 160k to 230k 1/18/5 [151153, 186609, 210533] 327*2^n-1 150k to 155k, 160k to 240k 9/4/5 [180580, 181569] 329*2^n-1 90k to 100k, 150k to 155k, 160k to 240k 9/4/5 [91092, 206628] 331*2^n-1 150k to 155k, 160k to 240k 9/7/5 [184393] 333*2^n-1 60k to 70k, 110k to 130k,150k to 155k, 160k to 200k, 220k to 240k 9/8/5 [61194, 125174, 127539] 335*2^n-1 120k to 130k, 150k to 155k,160k to 240k 9/16/5 [161944] 339*2^n-1 110k to 130k, 150k to 155k,160k to 225k, 230k to 240k 9/19/5 [127383, 170103] 341*2^n-1 150k to 155k, 160k to 230k 1/21/5 [none] 343*2^n-1 150k to 155k, 160k to 200k 10/12/4 [none] 347*2^n-1 150k to 155k, 160k to 240k 9/14/5 [none] 349*2^n-1 60k to 70k, 150k to 155k, 160k to 240k 9/15/5 [65219, 173571, 180711] 351*2^n-1 150k to 155k, 160k to 240k 9/16/5 [234043] 353*2^n-1 150k to 155k, 160k to 240k 9/19/5[168932] 355*2^n-1 150k to 155k, 160k to 200k 10/7/4 [161327, 169589] 357*2^n-1 80k to 110k 10/23/2 [81397, 94448, 108733] 359*2^n-1 150k to 155k, 160k to 200k 10/4/4 [176728] 361*2^n-1 150k to 155k, 160k to 200k 10/5/4 [163917, 197475] 363*2^n-1 100k to 130k, 150k to 155k,160k to 200k 10/6/4 [none] 365*2^n-1 100k to 130k, 160k to 200k 10/6/4 [102560, 119084] 371*2^n-1 100k to 130k, 160k to 200k 10/6/4 [162730, 164862] 373*2^n-1 100k to 130k, 160k to 200k 6/14/4[125611, 126271] 375*2^n-1 110k to 130k, 150k to 155k,160k to 200k 10/7/4 [118182, 126548,153306] 377*2^n-1 120k to 130k 6/10/3 [none] 381*2^n-1 110k to 120k 2/5/3 [115459, 115947] 383*2^n-1 110k to 130k 6/9/3 [none] 385*2^n-1 100k to 120k, 220k to 240k 9/20/5 [114673] 391*2^n-1 60k to 80k 3/20/1 [68177, 70935, 76743, 78259] 397*2^n-1 16k to 70k 4/10/1 [16305, 50133] 405*2^n-1 16k to 90k 5/8/1 [p for 17388, 18322, 18430, 19432, 19537, 32420, 33977, 36445, 39520, 75282, 84813, 85136] 409*2^n-1 110k to 130k 6/9/3 [129185] 413*2^n-1 100k to 120k,150k to 155k,160k to 175k 7/20/4 [173418] 415*2^n-1 120k to 130k 6/9/3 [124585] 417*2^n-1 150k to 155k,160k to 175k 7/20/4 [none] 421*2^n-1 150k to 155k,160k to 200k 10/6/4 [none] 423*2^n-1 60k to 80k, 110k to 130k,150k to 155k,160k to 200k 10/7/4 [61462, 72612, 167375] 425*2^n-1 170k to 175k 7/21/4 [none] 427*2^n-1 150k to 1550k, 160k to 200k 5/10/4 [none] 429*2^n-1 48k to 60k, 100k to 130k,150k to 155k,160k to 200k 10/7/4 [122707] 433*2^n-1 100k to 130k, 150k to 155k,160k to 195k 10/12/4 [189431] 435*2^n-1 100k to 130k, 150k to 155k,160k to 260k 11/1/4 [109796] 437*2^n-1 16k to 130k, 150k to 155k,160k to 195k 10/12/4 [19662, 21146, 27520, 42522, 43876, 44178, 57900, 69678, 87556] 441*2^n-1 100k to 120k, 150k to 155k,160k to 195k 10/14/4 [102959, 110789, 111223, 113833, 192897] 445*2^n-1 100k to 130k, 150k to 155k,160k to 200k 5/20/4 [121403] 449*2^n-1 100k to 140k, 150k to 190k 3/4/4 [114472] 451*2^n-1 100k to 120k, 160k to 230k 11/8/4 [100229, 105191, 172261, 178423] 453*2^n-1 160k to 230k 11/8/4 [170088, 176860, 191148] 455*2^n-1 100k to 130k, 160k to 240k 9/21/5 [177376, 178600, 198694, 218070, 233584, 239502] 459*2^n-1 145k to 260k 4/12/5 [242715] 461*2^n-1 120k to 130k 6/16/3 [none] 465*2^n-1 100k to 101765 11/15/2 [100381] 469*2^n-1 100k t0 130k, 170k to 230k 11/9/4 [213987, 214327] 471*2^n-1 170k to 240k 9/27/5 [224995, 230518] 473*2^n-1 110k to 130k, 170k to 230k 11/9/4 [172100] 475*2^n-1 110k to 120k, 170k to 230k 11/9/4 [none] 477*2^n-1 170k to 230k 11/10/4 [none] 479*2^n-1 110k to 120k, 155k to 260k 4/13/5 [158012, 208496, 251952] 481*2^n-1 110k to 130k, 170k to 240k 9/2/5 [120665, 214573, 215839, 239785] 483*2^n-1 100k to 120k, 170k to 230k 11/15/4 [190160] 485*2^n-1 100k to 260k 4/22/5 [213276] 487*2^n-1 100k to 260k 4/25/5 [116117, 151781] 489*2^n-1 100k to 120k, 170k to 240k 9/6/5 [102447, 108411, 173060, 191415, 204980, 225992] 491*2^n-1 100k to 110k, 120k to 130k 9/19/3 [none] 493*2^n-1 110k to 130k, 170k to 230k 11/12/4 [224899] 495*2^n-1 100k to 130k, 170k to 240k 9/7/5 [111521, 217588, 229168] 497*2^n-1 110k to 130k, 170k to 230k 11/15/4 [216682, 227764] 499*2^n-1 100k to 130k, 170k to 240k 9/12/4 [124521, 193747] 501*2^n-1 110k to 130k, 170k to 260k 11/16/4 [none] 503*2^n-1 100k to 130k, 170k to 260k 11/18/4 [105370, 112116, 115764, 237490] 505*2^n-1 120k to 130k, 170k to 260k 11/16/4 [none] 507*2^n-1 100k to 130k, 170k to 260k 11/18/4 [113332, 115057, 116158, 123646, 217588, 234304, 238177, 241173] 509*2^n-1 110k to 130k 6/30/3 [none] 511*2^n-1 170k to 260k 11/8/4 [217861, 219433, 222285, 230267, 257413] 513*2^n-1 165k to 260k 11/18/4 [175686, 183700, 231706, 247246] 515*2^n-1 120k to 260k 11/18/4 [137870, 181460] 517*2^n-1 100k to 110k, 120k to 260k 10/2/5 [128437, 181469] 519*2^n-1 100k to 110k, 120k to 260k 10/4/4 [108725, 139192, 146527, 212600] 521*2^n-1 190k to 223k 11/19/4 [192946] 523*2^n-1 100k to 155k, 170k to 230k 4/26/5 [none] 525*2^n-1 100k to 260k 5/3/5 [112601, 129904, 145986, 153464, 164890, 175686, 183700, 215172, 222570, 227025, 251758] 527*2^n-1 100k to 130k, 135k to 145k, 165k to 230k 11/8/5 [102154, 211426] 529*2^n-1 100k to 130k, 140k to 145k, 165k to 230k 12/2/4 [213665, 221637] 531*2^n-1 100k to 130k, 140k to 145k, 165k to 230k 12/2/4 [115019, 184461, 198037] 533*2^n-1 100k to 130k, 140k to 145k, 165k to 230k 12/2/4 [none] 535*2^n-1 100k to 130k, 140k to 145k, 170k to 230k 12/2/4 [202995, 218265] 537*2^n-1 100k to 130k, 140k to 145k, 165k to 230k 12/2/4 [102648, 204132] 539*2^n-1 100k to 130k, 140k to 145k, 165k to 230k 12/3/4 [102232] 541*2^n-1 100k to 130k, 140k to 145k, 165k to 230k 12/6/4 [107401] 543*2^n-1 100k to 130k, 140k to 145k, 170k to 230k 12/6/4 [104979] 545*2^n-1 100k to 130k, 140k to 145k, 170k to 230k 12/7/4 [187394] 547*2^n-1 100k to 130k, 140k to 145k, 165k to 230k 12/7/4 [112301] 549*2^n-1 100k to 130k, 140k to 145k, 165k to 230k 12/10/4 [118081, 141983, 194543, 215441] 551*2^n-1 140k to 145k, 165k to 230k 12/2/4 [140698] 553*2^n-1 100k to 130k, 165k to 230k 12/2/4 [102495, 127499] 555*2^n-1 80k to 130k, 165k to 230k 12/2/4 [90411, 91045, 169815, 182421, 209293, 212877] 557*2^n-1 100k to 130k, 170k to 230k 12/2/4 [173940] 559*2^n-1 100k to 130k, 190k to 230k 12/2/4 [none] 561*2^n-1 190k to 230k, 245k to 260k 10/6/4 [none] 563*2^n-1 60k to 260k 1/2/3 [64142, 67424, 101466, 170048, 220292, 251754] 565*2^n-1 100k to 130k, 165k to 230k 12/6/4 [none] 567*2^n-1 165k to 230k 12/8/4 [190464, 200454 ] 569*2^n-1 100k to 130k, 165k to 230k 12/9/4 [none] 571*2^n-1 100k to 130k, 165k to 230k 12/6 /4 [119429] 573*2^n-1 100k to 130k, 165k to 230k 12/8/4 [109871, 118266, 119714, 182492, 190972, 226708] 575*2^n-1 100k to 130k, 165k to 230k 12/3/4 [187858] 577*2^n-1 100k to 130k, 165k to 200k 1/10/5 [114941, 180417] 579*2^n-1 165k to 230k 12/12/4 [167075, 173411, 224868] 581*2^n-1 100k to 120k, 190k to 230k 12/10/4 [none] 583*2^n-1 100k to 130k, 165k to 230k 12/12/4 [none] 585*2^n-1 100k to 130k, 165k to 220k 12/13/4 [124055, 172202, 200352, 209960] 587*2^n-1 100k to 130k, 165k to 240k 9/27/5 [227306] 589*2^n-1 100k to 130k, 165k to 240k 9/27/5 [108245, 125623, 171517] 591*2^n-1 100k to 130k, 165k to 175k, 190k to 240k 9/27/5 [103053, 129421,167081] 593*2^n-1 100k to 130k, 165k to 180k, 190k to 240k 9/27/5 [113620, 116632] 595*2^n-1 100k to 130k, 170k to 240k 9/28/5 [103191, 189167, 210867] 597*2^n-1 100k to 110k, 120k to 130k, 190k to 240k 9/29/5 [110401] 599*2^n-1 100k to 110k, 120k to 130k 7/17/3 [115352] 601*2^n-1 180k to 240k 9/28/5 [none] 603*2^n-1 165k to 185k, 190k to 230k 12/10/4 [176780, 180592, 200771, 214006] 605*2^n-1 100k to 120k, 190k to 260k 10/11/5 [100258] 609*2^n-1 100k to 130k, 170k to 260k 10/11/5 [119505, 122120, 180912, 197219] 611*2^n-1 100k to 130k, 165k to 240k 9/30/5 [102222] 613*2^n-1 100k to 120k 4/6/3 [none] 615*2^n-1 100k to 130k, 170k to 180k, 190k to 197k 12/13/4 [126689, 173913] 617*2^n-1 190k to 220k,230k to 260k 10/11/5 [none] 619*2^n-1 120k to 130k, 170k to 260k 10/11/5 [125527, 179303, 185191, 218317] 621*2^n-1 100k to 110k, 120k to 130k, 170k to 260k 10/11/5 [125494] 623*2^n-1 100k to 110k, 120k to 130k, 190k to 260k 10/12/5 [108826, 213682, 217826, 225340] 627*2^n-1 100k to 110k, 170k to 260k 10/14/5 [101750, 107124, 192072] 629*2^n-1 100k to 260k 10/18/4 [140944] 631*2^n-1 100k to 260k 10/18/4 [101443, 166411, 170153, 238781] 633*2^n-1 100k to 230k 12/21/4 [137162, 174834] 635*2^n-1 100k to 230k 10/25/4 [121606, 132548] 639*2^n-1 100k to 130k, 190k to 260k 12/23/5 [215617, 234643] 641*2^n-1 110k to 195k, 245k to 260k 1/11/6 [118254, 148290] 643*2^n-1 110k to 230k, 230k to 260k 1/12/6 [178515] 645*2^n-1 100k to 130k, 200k to 260k 1/15/6 [100417] 647*2^n-1 100k to 130k 8/4/3 [none] 649*2^n-1 100k to 260k 1/19/6 [138563, 155503, 169969, 194265, 203961, 218029] 651*2^n-1 100k to 120k, 130k to 260k 11/3/4 [173950, 239810] 655*2^n-1 100k to 110k, 190k to 260k 1/21/6 [227819] 657*2^n-1 100k to 110k 12/16/2 [102388] 659*2^n-1 170k to 190k 9/8/4 [none] 661*2^n-1 200k to 260k 1/24/6 [229911] 663*2^n-1 100k to 110k, 190k to 215k, 230k to 260k 1/27/6 [224299, 259524] 665*2^n-1 100k to 260k 10/15/4 [105782, 111680, 119752, 122614, 154308, 158430, 176930, 197150] 667*2^n-1 110k to 130k 8/9/3 [none] 669*2^n-1 100k to 260k 10/26/4 [117983, 178361, 257639] 671*2^n-1 100k to 120k, 130k to 260k 10/22/4 [139182] 673*2^n-1 100k to 130k, 155k to 160k, 170k to 240k 12/8/5 [none] 675*2^n-1 110k to 130k, 170k to 230k 12/24/4 [120916, 123649, 219149] 677*2^n-1 100k to 130k, 170k to 205k, 230k to 240k 10/6/5 [101432, 110286] 679*2^n-1 100k to 130k, 170k to 190k 9/15/4 [106631, 112501] 681*2^n-1 100k to 130k, 170k to 260k 2/12/6 [192109, 239410, 254947] 683*2^n-1 100k to 130k, 170k to 230k 12/24/4 [118836, 222356, 222606] 685*2^n-1 110k to 130k, 170k to 230k 12/24/4 [197805] 687*2^n-1 100k to 130k, 170k to 230k 12/24/4 [none] 689*2^n-1 100k to 110k, 120k to 130k, 170k to 260k 10/13/5 [126120, 250036] 691*2^n-1 120k to 130k, 170k to 230k 12/21/4 [none] 693*2^n-1 110k to 130k, 170k to 230k 12/21/4 [none] 695*2^n-1 100k to 130k, 170k to 260k 10/15/5 [123880] 697*2^n-1 190k to 230k 12/21/4 [none] 699*2^n-1 100k to 110k, 120k to 260k 10/12/4 [145715, 151365, 259195] 703*2^n-1 200k to 260k 10/15/5 [227723] 707*2^n-1 165k to 260k 9/30/5 [184694] 709*2^n-1 200k to 260k 10/2/5 [none] 711*2^n-1 150k to 260k 10/4/5 [172907, 177615, 215681] 713*2^n-1 110k to 260k 10/5/5 [127442, 211902] 715*2^n-1 120k to 260k 10/6/5 [177895, 244967] 719*2^n-1 110k to 130k, 170k to 260k 10/17/5 [211952] 721*2^n-1 110k to 130k, 170k to 260k 10/18/5 [180409] 723*2^n-1 170k to 260k 10/20/5 [none] 725*2^n-1 110k to 130k, 135k to 140k, 170k to 190k 9/13/4 [184722] 727*2^n-1 100k to 110k,120k to 130k,135k to 140k, 170k to 190k 9/13/4 [121241, 172397] 729*2^n-1 120k to 230k 10/25/4 [229405] 731*2^n-1 100k to 130k, 135k to 140k, 170k to 230k 1/31/5 [181722] 733*2^n-1 120k to 130k, 135k to 140k 12/12/3 [none] 735*2^n-1 110k to 120k 4/24/3 [none] 737*2^n-1 200k to 260k 10/19/5 ]none] 739*2^n-1 100k to 120k 4/24/3 [none] 743*2^n-1 100k to 120k, 200k to 260k 10/21/5 [100570, 102964] 745*2^n-1 100k to 110k, 120k to 130k, 170k to 230k 2/2/5 [none] 747*2^n-1 170k to 230k 2/3/5 [174593, 179757] 749*2^n-1 170k to 190k 9/15/4 [none] 751*2^n-1 110k to 130k, 170k to 230k 2/2/5 [110247, 119283, 208737] 753*2^n-1 100k to 110k, 120k to 130k, 170k to 230k 12/2/5 [212558] 755*2^n-1 100k to 130k, 170k to 230k 2/3/5 [118386, 180082] 759*2^n-1 32k to 48k, 100k to 130k 9/25/3 [106212, 112913, 125447] 765*2^n-1 100k to 130k, 190k to 195k, 215k to 255k 10/25/5 [108306, 109960, 124266] 767*2^n-1 100k to 120k, 200k to 260k 10/25/5 [118574] 769*2^n-1 170k to 230k 2/3/5 [189677, 226911] 771*2^n-1 170k to 230k 2/4/5 [none] 773*2^n-1 170k to 260k 10/28/5 [234800] 775*2^n-1 100k to 130k, 170k to 230k 2/4/5 [129865, 171575, 190363] 777*2^n-1 100k to 130k, 170k to 210k 9/21/4 [none] 779*2^n-1 100k to 120k 4/30/3 [none] 781*2^n-1 100k to 130k, 165k to 260k 10/27/5 [114681, 118085, 204887, 254331] 783*2^n-1 100k to 110k, 120k to 130k, 165k to 230k 2/9/5 [101891, 124015, 195276] 785*2^n-1 100k to 130k, 165k to 260k 10/28/5 [184402] 787*2^n-1 165k to 200k 1/4/5 [190109 ] 789*2^n-1 100k to 120k, 200k t0 260k 10/31/5 [112215, 212700, 212899, 219549] 791*2^n-1 100k to 120k, 200k to 260k 11/1/5 [116654] 793*2^n-1 100k to 120k, 170k to 260k 10/31/5 [none] 795*2^n-1 100k to 110k, 170k to 225k, 230k to 260k 10/31/5 [105524, 179549, 182654, 204068] 797*2^n-1 100k to 110k, 170k to 260k 11/3/5 [none] 799*2^n-1 100k to 110k, 170k to 260k 11/7/5 [none] 801*2^n-1 170k to 230k 2/11/5 [none] 803*2^n-1 100k to 110k, 170k to 230k 1/10/5 [104344] 805^2^n-1 200k to 230k 2/13/5 [none] 807*2^n-1 170k to 230k 2/15/5 [220602, 221116] 811*2^n-1 170k to 260k 1/31/6 [none] 813*2^n-1 210k to 260k 1/29/6 [none] 815*2^n-1 170k to 230k 2/13/5 [none] 817*2^n-1 130k to 260k 10/18/4 [159405] 819*2^n-1 170k to 230k 2/13/5 [170053, 180880, 207312] 825*2^n-1 100k to 110k, 135k to 145k, 150k to 155k, 170k to 230k 11/1/4 [107590, 137754, 177120] 827*2^n-1 100k to 110k, 145k to 150k, 175k to 230k 2/18/5 [102640, 189814] 829*2^n-1 100k to 110k, 145k to 260k 11/7/5 [121795, 173641, 231829] 831*2^n-1 100k to 230k 2/26/5 [108598, 122685, 143845, 206017, 208045] 833*2^n-1 100k to 200k 12/29/4 [115294, 151076] 835*2^n-1 100k to 255k 11/8/5 [175083, 186261, 192441] 837*2^n-1 100k to 110k, 120k to 230k 12/30/4 [109761, 225588] 839*2^n-1 100k to 110k, 120k to 230k 2/15/5 [none] 841*2^n-1 100k to 110k 11/12/1 [none] 843*2^n-1 100k to 230k 2/20/5 [104870, 149768, 160328, 188032, 196286] 845*2^n-1 100k to 230k 2/20/5 [106710] 847*2^n-1 100k to 230k 2/23/5 [144545] 849*2^n-1 100k to 230k 2/15/5 [168717, 188223] 851*2^n-1 100k to 120k, 135k to 140k, 185k to 230k 2/16/5 [none] 853*2^n-1 100k to 120k, 135k to 140k, 185k to 230k 2/17/5 [none] 855*2^n-1 110k to 120k, 135k to 140k, 200k to 260k 2/7/6 [none] 857*2^n-1 110k to 120k, 135k to 140k, 145k to 230k 2/23/5 [191518] 859*2^n-1 100k to 120k, 135k to 140k 11/10/3 [109251] 863*2^n-1 110k to 120k, 135k to 140k, 170k to 185k 8/12/4 [111120] 865*2^n-1 110k to 120k, 135k to 140k, 170k to 185k 8/12/4 [none] 867*2^n-1 110k to 120k, 135k to 140k, 170k to 260k 12/18/5 [185413, 211410, 230069, 237898] 869*2^n-1 110k to 120k, 135k to 140k, 170k to 230k 2/26/5 [112064, 195076] 871*2^n-1 110k to 120k, 135k to 140k, 170k to 230k 3/1/5 [172003, 177797, 194557, 197297] 873*2^n-1 110k to 120k, 135k to 140k, 170k to 230k 3/3/5 [137650, 176792, 218380] 875*2^n-1 110k to 120k, 135k to 140k, 170k to 230k 2/28/5 [138818, 170282, 196208] 877*2^n-1 170k to 230k 3/2/5 [none] 879*2^n-1 110k to 120k, 135k to 140k, 170k to 230k 3/1/5 [111377, 118848, 219240] 881*2^n-1 170k to 185k 8/17/4 [none] 883*2^n-1 100k to 185k 9/29/4 [115531] 885*2^n-1 110k to 120k 5/12/3 [none] 887*2^n-1 100k to 230k 3/4/5 [125494, 161728, 217708] 889*2^n-1 100k to 230k 3/4/5 [191047] 891*2^n-1 100k to 230k 3/6/5 [122817, 155190, 202783] 893*2^n-1 100k to 120k, 160k to 260k 4/8/5 [111716] 895*2^n-1 100k to 170k, 185k to 230k 3/8/5 [159337, 224721] 897*2^n-1 100k to 120k 5/13/3 [116209] 899*2^n-1 100k to 110k, 120k to 230k 3/11/5 [138292, 165792] 901*2^n-1 100k to 120k, 135k to 140k, 170k to 185k, 200k to 230k 3/10/5 [137271] 903*2^n-1 100k to 110k, 135k to 140k, 200k to 230k 3/11/5 [101564, 105664] 905*2^n-1 100k to 120k, 135k to 140k, 185k to 200k 1/6/5 [none] 907*2^n-1 100k to 120k 5/13/3 [none] 909*2^n-1 100k to 120k, 135k to 230k 3/14/5 [113716, 183784, 197712, 202359] 911*2^n-1 100k to 120k, 135k to 150k, 200k to 230k 3/14/5 [223882] 913*2^n-1 100k to 120k, 135k to 140k, 200k to 230k 3/17/5 [101335] 915*2^n-1 100k to 120k, 135k to 140k 3/16/5 [100673, 106314] 917*2^n-1 100k to 120k, 135k to 140k, 170k to 230k 3/18/5 [215634] 919*2^n-1 100k to 120k, 135k to 140k, 170k to 230k 3/23/5 [109047, 110773, 117535] 921*2^n-1 100k to 120k, 135k to 140k, 170k to 230k 3/23/5 [108443, 184190] 923*2^n-1 100k to 120k, 135k to 140k, 170k to 230k 3/28/5 [104854, 117270, 199370] 925*2^n-1 100k to 110k, 135k to 140k, 170k to 185k, 200k to 230k 4/4/5 [none] 927*2^n-1 100k to 110k, 135k to 140k, 170k to 185k, 250k to 260k 11/8/5 [258776] 929*2^n-1 135k to 140k, 170k to 185k 9/21/4 [none] 931*2^n-1 100k to 110k, 170k to 185k 9/21/4 [103429, 174559] 935*2^n-1 100k to 110k, 135k to 210k 9/22/4 [140030, 179750] 937*2^n-1 100k to 120k, 135k to 200k 9/23/4 [101201] 939*2^n-1 100k to 120k, 135k to 200k 9/27/4 [149765, 190033] 941*2^n-1 100k to 120k, 135k to 200k 9/27/4 [none] 943*2^n-1 100k to 120k, 135k to 200k 9/23/4 [none] 945*2^n-1 100k to 120k, 135k to 140k 12/9/3 [108084] 947*2^n-1 100k to 110k, 135k to 200k 9/27/4 [none] 949*2^n-1 100k to 110k 1/10/3 [100365] 953*2^n-1 100k to 120k 5/19/3 [107366] 955*2^n-1 100k to 120k, 140k to 225k 12/8/5 [103849, 164499, 207291] 957*2^n-1 100k to 120k, 140k to 200k 9/27/4 [166909] 959*2^n-1 100k to 120k, 140k to 210k 9/27/4 [159468] 961*2^n-1 100k to 120k, 140k to 210k 9/28/4 [106141, 168691] 963*2^n-1 100k to 120k, 140k to 21k 9/30/4 [108320, 148787] 965*2^n-1 140k to 200k 9/27/4 [none] 967*2^n-1 100k to 120k 5/20/3 [none] 969*2^n-1 100k to 120k, 140k to 210k 9/30/4 [101051, 103736, 106089, 160688, 202043] 971*2^n-1 100k to 120k, 140k to 210k 10/1/4 [none] 973*2^n-1 110k to 120k, 140k to 210k 9/29/4 [none] 975*2^n-1 100k to 120k 5/21/3 [116719] 977*2^n-1 100k to 120k, 140k to 200k 9/29/4 [151688] 979*2^n-1 100k to 120k, 140k to 200k 10/1/4 [158471] 981*2^n-1 100k to 120k 5/22/3 [100523, 111461] 983*2^n-1 100k to 120k 5/27/3 [none] 985*2^n-1 100k to 120k 5/23/3 [none] 993*2^n-1 110k to 120k 5/27/3 [none] 1001*2^n-1 16k to 110k 1/8/3 [20782, 38206, 39258, 39666, 40434, 59042] 1063*2^n-1 175k to 195k 10/28/4 [none] 1093*2^n-1 175k to 195k 10/26/4 [none] 3511*2^n-1 175k to 195k 10/26/4 [none] 5555*2^n-1 to 49712, 60k to 100k 3/19/1 [p for 2, 3, 7, 32, 62, 68, 198, 308, 512, 764, 1104, 1628, 2480, 2648, 6630, 9968, 13508, 20654, 42702, 49056, 95648] 146561*2^n-1 to 524288 11/6/2 [none] 19550505*2^n-1 165k to 236968 8/2/4 [180427, 183930, 201052, 201502] 19950505*2^n-1 160k to 200k 5/31/4 [172723] 14!*2^n-1 to 200k 9/18/4 [...21522, 22666, 24914, 26224, 32998, 37945, 46070, 48710, 57754, 60402, 78200, 82505, 86459, 96768, 101335, 117094, 166978, 196419] k*2^221442-1 50k to 150k 2/4/5 [none] k*2^262143-1 to 262143 3/10/5 [75411, 184099, 228255, 247086] 8:42 AM 8/7/2009 2:14 PM 9/3/2009 1:13 PM 6/8/2011