-- Mar 31, 2022 (Alfred Eichhorn) -- # via Kurt Beschorner n=80537: c80537(1111111111......) = 98997936620816701558631 * c80514(1122357848......) # ECM B1=5e4, sigma=3459219771074912 n=80567: c80567(1111111111......) = 237614342335310020762441 * c80543(4676111299......) # ECM B1=5e4, sigma=6517012485133803 # 206936 of 300000 Phi_n(10) factorizations were cracked. # 19950 of 25997 R_prime factorizations were cracked. -- Mar 29, 2022 (Kurt Beschorner) -- n=2773: c2622(2171411783......) = 399155678597075993642585721855751 * x2589(5440012254......) # ECM B1=3e6, sigma=0:1761429257841097 n=2773: x2589(5440012254......) = 619324111616350475702975927728595284601 * c2550(8783788895......) # ECM B1=3e6, sigma=0:8238301661507597 n=110221: c110202(3274458571......) = 5850281131860729997 * c110183(5597096102......) n=110563: c110536(9633604390......) = 198916074227483203 * c110519(4843049727......) # gr-mfaktc -- Mar 24, 2022 (Kurt Beschorner) -- n=2773: c2652(4243555600......) = 1954284136265233470908751563083 * c2622(2171411783......) # ECM B1=3e6, sigma=8275802607864457 n=109859: c109838(8130966965......) = 13188872879181827987 * c109819(6165020347......) # gr-mfaktc -- Mar 21, 2022 (Kurt Beschorner) -- n=60003: c38977(1001000999......) = 1140424855078343303208889 * c38952(8777439351......) # ECM B1=25e4, sigma=2827598131369570 n=108793: c108787(1702176624......) = 1167704791152468197 * c108769(1457711432......) n=108907: c108899(1875438333......) = 583880633763310627 * c108881(3212023528......) n=109211: c109195(3404405214......) = 126937459545462521 * c109178(2681954740......) # gr-mfaktc -- Mar 21, 2022 (Paul Underwood) -- n=49081: p49081(1111111111......) is proven prime. # It is the largest known repunit prime. # https://www.mersenneforum.org/showpost.php?p=602219&postcount=35 # https://primes.utm.edu/top20/page.php?id=57 # https://stdkmd.net/nrr/cert/Phi/index.htm#CERT_PHI_49081_10 -- Mar 19, 2022 (Alfred Eichhorn) -- # via Kurt Beschorner n=62827: c62827(1111111111......) = 7777690806649677716267 * c62805(1428587403......) # ECM B1=5e4, sigma=3473282770034336 n=62921: c62921(1111111111......) = 4802717418923454899429369 * c62896(2313505072......) # ECM B1=5e4, sigma=4037487434681691 # 206933 of 300000 Phi_n(10) factorizations were cracked. # 19948 of 25997 R_prime factorizations were cracked. -- Mar 19, 2022 (Kurt Beschorner) -- n=50041: c49557(7560636958......) = 19199285928625054818523 * c49535(3937978207......) # ECM B1=25e4, sigma=0:7955970943956376 n=50081: c49173(2704574371......) = 852422867511808915726801 * c49149(3172808326......) # ECM B1=25e4, sigma=5940992916829042 -- Mar 10, 2022 (Kurt Beschorner) -- n=10425: c5508(3836413220......) = 1609108948542966695478682525801 * x5478(2384184877......) # ECM B1=1e6, sigma=0:3379722065397352 n=10425: x5478(2384184877......) = 14200413472717962745698299857144951 * c5444(1678954547......) # ECM B1=1e6, sigma=0:6314518817386092 n=107209: c107195(5392128472......) = 4547576407708198481 * c107177(1185714760......) n=107927: c107918(5607311800......) = 940707248331079717 * c107900(5960740507......) # gr-mfaktc -- Mar 4, 2022 (Alfred Eichhorn) -- # via Kurt Beschorner n=44971: c44971(1111111111......) = 15479193868097282334637 * c44948(7178094160......) # ECM B1=5e4, sigma=7295230555714081 n=62687: c62687(1111111111......) = 26876428905287020627471867364637707 * c62652(4134147118......) # ECM B1=5e4, sigma=0:5579796336872722 n=80231: c80215(2159911478......) = 1839645269593249353199 * c80194(1174091285......) # ECM B1=5e4, sigma=8110353428198051 # 206931 of 300000 Phi_n(10) factorizations were cracked. # 19946 of 25997 R_prime factorizations were cracked. -- Mar 4, 2022 (Kurt Beschorner) -- n=11468: c5505(1752744970......) = 132327211589322363091440449 * c5479(1324553695......) # ECM B1=1e6, sigma=412850290796073 n=11764: c5505(1009999999......) = 6137387517793439411384306141 * c5477(1645651341......) # ECM B1=1e6, sigma=5383335464986607 n=50067: c33372(9990000009......) = 194200846806842075182991347 * x33346(5144158830......) # ECM B1=25e4, sigma=0:5396483357768431 n=50067: x33346(5144158830......) = 2559698594044837286966360354590201 * c33313(2009673655......) # ECM B1=25e4, sigma=0:4038669283018763 n=106783: c106776(6503320172......) = 503518636524815609 * c106759(1291574869......) # gr-mfaktc # 206929 of 300000 Phi_n(10) factorizations were cracked.