JOIN US, CHOOSE A CANDIDATE by Robinson weight
15k*2^n -1 is frequently prime n, for values 15k:
Payam#k w=weight/nash weight (reserved or tested to)(User or prover code)

Last Update: September 17, 2005

15k = 2889081195, w = 4.16/7261 (reserved by Lars D.)
15k = 3428677395, w = 4.06/7102 (reserved by Shane F.)
15k = 1650292215, w = 4.04/7057 (reserved b Luigi)
15k = 4142541975, w = 4.03/7066 (reserved by Thomas R.)
15k = 3611911875, w = 4.03/7048 (reserved by Kosmaj)
15k = 1748348745, w = 4.00/7006 (reserved by James)
15k = 413468055, w = 3.99/6982 (155000) L9 (Reserved by Keller)
15k = 1019370495, w = 3.98/6959 (reserved by wpolly)
15k = 1880720985, w = 3.97/6974 (reserved by Ryan)
15k = 387376275, w = 3.97/6970 (155000) L9
15k = 1014793065, w = 3.97/6967 (reserved by James)
15k = 115029915, w = 3.97/6966 (reserved by Shane)
15k = 290499495, w = 3.97/6961 (reserved by Shane)
15k = 1581823815, w = 3.97/6954
15k = 464857965, w = 3.95/6936 (reserved by Shane)
15k = 244716615, w = 3.94/6887 (L9 has a prime for this 15k at n=136894)
15k = 4075360575, w = 3.93/6864 (L19 has a prime for this 15k at n=182897)
15k = 245630385, w = 3.91/6864 (L26 has a prime for this 15k at n=152152)
15k = 775784295, w = 3.91/6832 (L26 has a prime for this 15k at n=137131)
15k = 666625245, w = 3.90/6829 (Reserved by Mark)
15k = 97102005, w = 3.90/6829 (145000)L9
15k = 2809771965, w =3.88/6804 (reserved by Thomas R.)
15k = 736320585, w = 3.88/6793 (reserved by Cruelty)
15k = 869688105, w = 3.87/6779
15k = 504017085, w = 3.87/6784
15k = 959657985, w = 3.85/5966 (155000)
15k = 404643525, w = 3.84/6716
15k = 949473525, w = 3.82 6467 (reserved by Antiroach)
15k = 509070705, w = 3.82/6701 (L8 has a prime for this 15k at n=174286)
15k = 190053435, w = 3.82/6694 (reserved by James)
15k = 1803385155, w : 3.81/6667 (reserved by James)
15k = 2175868695, w : 3.81/6674
15k = 54896985, w = 3.80/6669 (reserved by James)
15k = 187466565, w = 3.79/6659
15k = 954218265, w = 3.78/6616
15k = 825273735, w = 3.78/6616
15k = 8311875, w = 3.77/6584 (167000 already tested by g73)
15k = 868409685, w = 3.76/6608 (reserved by Thomas W.)
15k = 515106735, w = 3.76/6583 (reserved by Larry)
15k = 794977755, w = 3.75/6576 (reserved by Larry)
15k = 10474035, w = 3.74/6554 (reserved by James)
15k = 518066835, w = 3.74/6553
15k = 810151485, w = 3.73/6520
15k = 954977595, w = 3.69/5061 (reserved by Lars D.)
15k = 904522905, w = 3.68/6440
15k = 978847155, w = 3.68/6471 (reserved by puh_32)
15k = 968186505, w = 3.68/6459 (200,000 reserved by Henrik)
15k = 1973886915, w = 3.68/6438 (reserved by Henrik)
15k = 860541825, w = 3.67/6429
15k = 14549535, w = 3.66/6416 (reserved by levitate)
15k = 99311355, w = 3.66/6424 (reserved by James)
15k = 985389405, w = 3.66/6424 (resetved by Jay)
15k = 995887035, w = 3.63/6362 (reserved by Henrik)
15k = 891103785, w = 3.63/6365 (200,000)
15k = 973197225, w = 3.62/6347 (200,000)
15k = 2305225065, w = 3.61/6336 (200,000)
15k = 854917635, w = 3.61/6331 (200,000)
15k = 853836555, w = 3.60/6317 (200,000)
15k = 801095295, w = 3.60/6330 (Mark to 200k, reserved by Pconfig from 200k)
15k = 957761805, w = 3.59/6293 (200,000)
15k = 391533285, w = 3.47/6081 (200,000)
15k = 786775275, w = 3.45/6060 (200,000)
15k = 706427865, w = 3.44/6010 (200,000)
15k = 316299555, w = 3.42/6018 (200,000)
15k = 627830775, w = 3.40/5936 (200,000)
15k = 621472995, w = 3.40/5975 (200,000)
15k = 597590565, w = 3.40/5961 (Reserved by Mark)
15k = 373065, w = 3.37/5933 (reserved by James)
15k = 957860475 w = 3.36/5898 (reserved by James)
15k = 997867365, w = 3.55/6235 (Reserved by Mark)
15k = 998895645, w = 3.50/6134 (Reserved by Mark)
15k = 994508625, w = 3.47/6083 (Reserved by Mark)
15k = 995233965, w = 3.44/6030 (220,000)
15k = 999096285, w = 3.40/5970 (Reserved by Mark)
15k = 890505, w = 3.35/5858 (reserved by Lars D.)
15k = 1105845, w = 3.28/5772 (reserved by James)
15k = 906015, w = 3.26/5705 (reserved by James)
15k = 405405, w =3.23/5686 (reserved by Harsh A.)
15k = 868409685 (reserved by Henrik)



Here are some untested 2805k, I recommend first testing all 15k up to n=5000, to make sure you find at least 50 primes, otherwise you may try another one.
15k : 13236795, w : 3.71
15k : 14549535, w : 3.66
15k : 18487755, w : 3.64
15k : 39547695, w : 3.69
15k : 39418665, w : 3.64
15k : 51003315, w : 3.71
15k : 55951335, w : 3.65
15k : 60714225, w : 3.62
15k : 78290355, w : 3.60
15k : 84854055, w : 3.62
15k : 93532725, w : 3.64
15k : 118547715, w : 3.67
15k : 136151895, w : 3.62
15k : 146261115, w : 3.66
15k : 153784125, w : 3.67 (reserved by lalera)
15k : 165054615, w : 3.60
15k : 166900305, w : 3.68
15k : 168196215, w : 3.64
15k : 187466565, w : 3.79
15k : 190383765, w : 3.61
15k : 205917855, w : 3.65
15k : 208391865, w : 3.61
15k : 210001935, w : 3.63
15k : 228986175, w : 3.63
15k : 240924255, w : 3.64
15k : 244133175, w : 3.67
15k : 244716615, w : 3.94
15k : 252884775, w : 3.70
15k : 271044345, w : 3.79 (reserved by masser)
15k : 286578435, w : 3.63
15k : 326325285, w : 3.66
15k : 334639305, w : 3.63
15k : 355424355, w : 3.82 (reserved by Larry)
15k : 428062635, w : 3.67
15k : 428573145, w : 3.66
15k : 445419975, w : 3.65
15k : 451035585, w : 3.81
15k : 475977645, w : 3.88
15k : 483124785, w : 3.64
15k : 487281795, w : 3.60
15k : 490271925, w : 3.71
15k : 506036025, w : 3.75
15k : 511090635, w : 3.61
15k : 563701215, w : 3.60
15k : 576312495, w : 3.62
15k : 576839835, w : 3.74
15k : 603885645, w : 3.68
15k : 623442105, w : 3.66
15k : 637220265, w : 3.62
15k : 640872375, w : 3.70 (reserved by lalera)
15k : 646269195, w : 3.72
15k : 669545085, w : 3.60

15k : 698632935, w : 3.67
15k : 700383255, w : 3.63
15k : 720708285, w : 3.60
15k : 721774185, w : 3.84
15k : 736354575, w : 3.63
15k : 743922465, w : 3.76
15k : 744797625, w : 3.74
15k : 745818645, w : 3.70
15k : 765414375, w : 3.80
15k : 795085665, w : 3.60
15k : 828010755, w : 3.64
15k : 857996205, w : 3.67
15k : 905215575, w : 3.62
15k : 931863075, w : 3.69
15k : 944984865, w : 3.63
15k : 965337945, w : 3.60
15k : 968911515, w : 3.70
15k : 974392485, w : 3.67
15k : 984008025, w : 3.63
2145k
15k : 511893525, w : 3.62
15k : 515179665, w : 3.64
15k : 516080565, w : 3.60
15k : 524857905, w : 3.68
15k : 525359835, w : 3.63
15k : 528229845, w : 3.60
15k : 528980595, w : 3.61
15k : 531803415, w : 3.65
15k : 533026065, w : 3.66
15k : 538169775, w : 3.66
15k : 541546005, w : 3.63
15k : 545544285, w : 3.60
15k : 552193785, w : 3.61
15k : 553956975, w : 3.65
15k : 563948385, w : 3.66
15k : 565908915, w : 3.65
15k : 565964685, w : 3.61
15k : 576659655, w : 3.63
15k : 577551975, w : 3.60
15k : 584222925, w : 3.65
15k : 586239225, w : 3.62
15k : 586839825, w : 3.69
15k : 587650635, w : 3.68
15k : 576771195, w : 3.60
15k : 595213905, w : 3.65 (Reserved by puh_32)
15k : 613806765, w : 3.60 (Reserved by Mark)
15k : 616385055, w : 3.60 (Reserved by Mark)
15k : 617178705, w : 3.64 (Reserved by Mark)
15k : 623442105, w : 3.66 (Reserved by Mark)
15k : 625394055, w : 3.62 (270,000 by BotXXX)
15k : 626157675, w : 3.61 (Reserved by Mark)
15k : 636951315, w : 3.68 (Reserved by Mark)
15k : 641494425, w : 3.69 (Reserved by Mark)
15k : 648452805, w : 3.63 (Reserved by Mark)
15k : 649023375, w : 3.66 (Reserved by Mark)
15k : 688366965, w : 3.66 (300,000 by Mark)
15k : 691490085, w : 3.66 (300,000 by Mark)
15k : 725196615, w : 3.68 (300,000 by Mark)
15k : 778049415, w : 3.62 (300,000 by Mark)
15k : 770464695, w : 3.63 (300,000 by Mark)
15k : 775393905, w : 3.62 (300,000 by Mark)
15k : 757980795, w : 3.63 (300,000 by Mark)
15k : 763094475, w : 3.66 (Reserved by Mark)
15k : 742837095, w : 3.67 (300,000 by Mark)
15k : 692305185, w : 3.65 (300,000 by Mark)
15k : 698632935, w : 3.67 (300,000 by Mark)
15k : 16291275, w : 3.61 (reserved by wpolly)
(top bound of 15k = 4294967295)

JOIN BY CHOOSING ONE OF THESE 15K.
To reserve it, e-mail me at 15k@strikepoint.com
or post in this thread
Then follow the NOVICE INSTRUCTIONS.
If you have any questions I will be happy to help you through the steps.

The candidates are listed in order of their Robinson weight. You may want to take this into account when deciding your k.
This means that you are about 3 times more likely to find a prime.