-- May 29, 2026 (Alfred Eichhorn) -- # via Kurt Beschorner n=32507: c32507(1111111111......) = 2300930380372305197566072049639 * c32476(4828964494......) # ECM B1=1e6, sigma=0:7501853553690321 -- May 29, 2026 (Kurt Beschorner) -- n=1946: c761(1375176234......) = 27554793188997041736632096781280014586232237622274391333 * c705(4990696990......) # ECM B1=30e6, sigma=2268919098670077 n=33624: c11163(1294181016......) = 421521330863204485354297 * x11139(3070262219......) # P-1 B1=120e6 n=33624: x11139(3070262219......) = 12796650901118026271423089 * c11114(2399270123......) # P-1 B1=120e6 n=100870: c31169(8069681364......) = 595613554200944189681 * c31149(1354851867......) # P-1 B1=120e6 -- May 19, 2026 (Kurt Beschorner) -- n=1946: c812(1569202362......) = 1141091827346082725563186077734683523890652491324921 * c761(1375176234......) # ECM B1=30e6, sigma=2391699717520293 n=1948: c913(3362266856......) = 1245574263344236926178624905967619777496826201 * c868(2699370848......) # ECM B1=30e6, sigma=298681832424430 n=15109: c14522(7917229388......) = 3126121653732181949392727677 * c14495(2532604378......) # P-1 B1=330e6 n=100851: c67232(9009009009......) = 1331119777281831087651429151 * c67205(6767992755......) # P-1 B1=50e6 n=100852: c47737(1009999999......) = 35480851910324239338266251369 * c47708(2846605832......) # P-1 B1=120e6 n=100855: c77089(1111099999......) = 3630007311475118671 * c77070(3060875377......) # P-1 B1=55e6 n=100863: c57601(1001000999......) = 1015929284756244359406737203 * x57573(9853057836......) # P-1 B1=55e6 n=100863: x57573(9853057836......) = 2537548873731441460658709523 * c57546(3882903670......) # P-1 B1=55e6 -- May 17, 2026 (Alfred Eichhorn) -- # via Kurt Beschorner n=58043: c58043(1111111111......) = 2462878157842741990086979241 * c58015(4511433533......) # ECM B1=1e6, sigma=5913375008734535 n=58231: c58231(1111111111......) = 8591284841513196276725154917039 * c58200(1293300282......) # ECM B1=1e6, sigma=0:4677710267393855 # 20142 of 25997 R_prime factorizations were cracked. -- May 11, 2026 (Kurt Beschorner) -- n=1939: c1623(3468250179......) = 2319804043020569784657764982312066706540009 * c1581(1495061701......) # ECM B1=20e6, sigma=1141204615990357 n=2370: c586(6914859041......) = 482449202423416486767475769973056969504388721 * c542(1433282303......) # ECM B1=43e6, sigma=1028291333 n=12271: c10472(7708447882......) = 228199770997052675993096122519371289 * c10437(3377938483......) # ECM B1=1e6, sigma=4270726391921522 n=12275: c9784(2077466078......) = 4409632003308300498889025067767487751 * c9747(4711200565......) # ECM B1=1e6, sigma=7126292361183199 n=12277: c12265(1347178865......) = 118409763548324573394163349399 * c12236(1137726168......) # ECM B1=1e6, sigma=865464314463046 n=20168: c10043(8592966282......) = 36413245003538692345629330721 * c10015(2359846336......) # P-1 B1=120e6 n=100833: c60474(1718188888......) = 218914320925344172603 * c60453(7848681992......) # P-1 B1=50e6 n=100840: c40311(3675124653......) = 26923763855635207088748001 * c40286(1365011471......) # P-1 B1=120e6 n=100841: c93032(1033371661......) = 263521074163247213 * x93014(3921400459......) # P-1 B1=50e6 n=100841: x93014(3921400459......) = 1747747951842195723733 * c92993(2243687629......) # P-1 B1=50e6 n=100849: c86411(2211561424......) = 837394980053163708359 * c86390(2641001531......) # P-1 B1=50e6