-- Apr 28, 2026 (Kurt Beschorner) -- n=4079: c4046(1527972583......) = 426915461085826624259143920722034774479 * c4007(3579098726......) # ECM B1=1e6, sigma=7104292139681039 n=12223: c11477(9127227149......) = 6369097247405237468604340064437 * c11447(1433048797......) # ECM B1=1e6, sigma=4266251454290015 n=12233: c11274(3606443994......) = 22472722653715903146492540430914710329 * c11237(1604809550......) # ECM B1=1e6, sigma=4346254638954307 n=12247: c11867(2095401124......) = 2776545656296308111024907187 * c11839(7546791531......) # ECM B1=1e6, sigma=5666394773832634 n=12250: c4188(3669243430......) = 621878902495839421287137521938451694251 * c4149(5900253916......) # ECM B1=3e6, sigma=5389300061366745 n=12264: c3418(4082981731......) = 3141173557231484342233218217422101569 * c3382(1299826850......) # ECM B1=5e6, sigma=3950502677650097 -- Apr 27, 2026 (Alfred Eichhorn) -- # via Kurt Beschorner n=57077: c57077(1111111111......) = 3848471893272271808963508973 * c57049(2887148826......) # ECM B1=1e6, sigma=0:4742462032411031 n=61469: c61469(1111111111......) = 698138979099137779882713720563 * c61439(1591532838......) # ECM B1=1e6, sigma=7844869317150916 n=61519: c61519(1111111111......) = 3592374185368400157663594959 * c61491(3092971538......) # ECM B1=1e6, sigma=0:2912591680432495 -- Apr 27, 2026 (A.C.) -- n=1909: p1763(3987531140......) is proven # https://stdkmd.net/nrr/cert/Phi/#CERT_PHI_1909_10 -- Apr 27, 2026 (Kurt Beschorner) -- n=1909: c1804(9000000000......) = 225703566525345000237290241654276163965649 * p1763(3987531140......) # ECM B1=20e6, sigma=5168216469123288 n=12240: c3064(4079663740......) = 263000468346705414367562319148772641 * c3029(1551200180......) # ECM B1=3e6, sigma=4513911137171856 n=12256: c6107(8159202356......) = 43376467754503927150112444601064993 * c6073(1881020465......) # ECM B1=1.5e6, sigma=6872108156273792 n=20163: c10995(4623079054......) = 721292645808181608827351401 * c10968(6409436005......) # P-1 B1=50e6 n=33606: c11186(2623476399......) = 230893953674075061463927 * c11163(1136225682......) # P-1 B1=120e6 n=33607: c28800(9000000900......) = 5964387365159475570403 * c28779(1508956469......) # P-1 B1=50e6 n=33609: c21051(1501219233......) = 48248595085802769587549417191 * c21022(3111425795......) # P-1 B1=50e6 n=100814: c40824(9090910000......) = 776396116921274123891 * c40804(1170911317......) # P-1 B1=120e6 n=100818: c33578(3047841132......) = 54821518733674447939 * c33558(5559570773......) # P-1 B1=120e6 n=100822: c50379(8914460306......) = 8152588103725941068097397481 * c50352(1093451575......) # P-1 B1=120e6 n=100830: c26852(1949028251......) = 394392699271528282561 * c26831(4941846680......) # P-1 B1=120e6 -- Apr 26, 2026 (NFS@Home) -- n=784: c265(7992725630......) = 289541217302474902147738712574747645681665598761448687795987839125906245176246519610151449976343537460699905766689 * p152(2760479390......) # snfs -- Apr 9, 2026 (Kurt Beschorner) -- n=12183: c7784(1199104518......) = 109821907852656265834529348424560071 * c7749(1091862763......) # ECM B1=1e6, sigma=7051987285101674 n=12185: c9744(9000090000......) = 130322056866604174556330887201 * c9715(6906037410......) # ECM B1=1e6, sigma=2275484587771368 n=12187: c10372(3947440503......) = 4331894187607779562471947940622489759 * c10335(9112504444......) # ECM B1=1e6, sigma=899074588164263 n=12197: c12139(1125672810......) = 281192396724953094378341698240982668717 * c12100(4003212118......) # ECM B1=1e6, sigma=1544402678692367 n=12198: c3785(8911801886......) = 100121059314668298378348902933673188089 * p3747(8901026365......) # ECM B1=3e6, sigma=6858696947538165 # ----------------8<----------------8<----------------8<---------------- # $ ./pfgw64 -tc -q"91*(10^19+1)*(10^107+1)*(10^4066-10^2033+1)/1022354010291092039862560981007071415649878538699338460526954692249201/(10^57+1)/(10^321+1)" # PFGW Version 4.0.3.64BIT.20220704.Win_Dev [GWNUM 29.8] # # Primality testing 91*(10^19+1)*(10^107+1)*(10^4066-10^2033+1)/1022354010291092039862560981007071415649878538699338460526954692249201/(10^57+1)/(10^321+1) [N-1/N+1, Brillhart-Lehmer-Selfridge] # Running N-1 test using base 2 # Running N-1 test using base 3 # Running N+1 test using discriminant 11, base 2+sqrt(11) # # Calling N-1 BLS with factored part 0.27% and helper 0.12% (0.94% proof) # 91*(10^19+1)*(10^107+1)*(10^4066-10^2033+1)/1022354010291092039862560981007071415649878538699338460526954692249201/(10^57+1)/(10^321+1) is Fermat and Lucas PRP! (0.6468s+0.0005s) # ----------------8<----------------8<----------------8<---------------- n=12199: c11062(1042569824......) = 1739280392832343482352334226643081 * c11028(5994259627......) # ECM B1=1e6, sigma=1208315919345894 n=12201: c6878(5298946632......) = 109836927317630094632408443 * c6852(4824376247......) # ECM B1=1e6, sigma=3736292984657857 n=12220L: c2182(6756713074......) = 6973238477503511321447740394630472080633701 * c2139(9689490896......) # ECM B1=11e6, sigma=1197379811455370 n=33604: c16180(2877998774......) = 291531278012433218181442837529809 * c16147(9872006854......) # P-1 B1=120e6 n=100807: c86393(1867772414......) = 760773901018618018808663640224203 * c86360(2455095280......) # P-1 B1=50e6