2⁸⁸²⁴ - 15

field	value
prime_id	30202
person_id	9
machine	Using: Digital Ocean Droplet
what	prime
notes	Command: /var/www/clientpool/1/pfgw64 -V -f -tc -hhelper.php?id=1100000000294468897 -q"2^8824-15" >command_output 2>&1 PFGW Version 4.0.4.64BIT.20221214.x86_Dev [GWNUM 30.11] Primality testing 2^8824-15 [N-1/N+1, Brillhart-Lehmer-Selfridge] Reading factors from helper file helper.php?id=1100000000294468897 trial Running N-1 test using base 17 Special modular reduction using FMA3 FFT length 512 on 2^8824-15 Running N-1 test using base 47 Special modular reduction using FMA3 FFT length 512 on 2^8824-15 Running N-1 test using base 53 Special modular reduction using FMA3 FFT length 512 on 2^8824-15 Running N-1 test using base 67 Special modular reduction using FMA3 FFT length 512 on 2^8824-15 Running N+1 test using discriminant 79, base 19+sqrt(79) Special modular reduction using FMA3 FFT length 512 on 2^8824-15 Calling N-1 BLS with factored part 67.87% and helper 0.17% (203.81% proof) 2^8824-15 is prime! (0.2310s+0.0001s) [Elapsed time: 5.00 seconds] Helper File: 2 3 5 7 11 13 19 29 31 37 41 43 61 71 73 109 113 127 151 181 197 211 281 331 337 421 491 631 883 1321 1429 1471 2521 3529 5419 5881 8821 14449 22051 23311 29191 41161 54001 86171 92737 106681 122921 126127 152041 309583 311347 540961 649657 664441 748819 870031 983431 1467061 1484701 1564921 1711081 1765891 3298681 4163041 4692241 5828257 7416361 15562891 18837001 29247661 47392381 85225897 430839361 720636337 7439220181 19707683773 20147473081 40388473189 77158673929 118750098349 146919792181 951157214281 2340389488711 4363953127297 4432676798593 4981857697937 6793177127101 10137296444101 306178659371201 1041815865690181 1372226516822701 27653710336343911 1889104745285845921 15162868758218274451 25407715103318927611 26032885845392093851 40544859693521152369 83468535680255056381 520015769408683617721 744298254317046214381 1008787906424294727221 2741672362528725535068727 4487533753346305838985313 17059410504738323992180849 1003163780973710788611449341 1996187656530838599012839257 17369459529909057773233442461 50647282035796125885000330641 29728307155963706810228435378401 169462032913464877812492288268723 7086423574853972147970086088434689 11247702599676505481447137991664348691 15169173997557864184867895400813639018421 44399394252774652151567131602624448846381 252359902034571016856214298851708529738525821631 631430922992211190033830999202698905758039480236241 10032718675660700331163223888781708908159501730496624539621810378577 84998535361121926317825290336868414402467054590903922313327679343257 1221939910890712567431451795717057972889510554125188184247355820831901 23618256244840618857212522155851714...(98 digits)...48710460515038403366198473773770441 66208443996629422774756624304074494...(293 digits)...93815374317437667296586219200606221 22543
modified	2026-02-04 08:57:29
created	2026-02-04 08:57:24
id	187667

field	value
prime_id	30202
person_id	9
machine	Linux PII 200
what	prp
notes	PFGW Version 20020311.x86_Dev (Alpha software, 'caveat utilitor') Running N-1 test using base 17 Running N-1 test using base 47 Running N+1 test using discriminant 67, base 4+sqrt(67) Primality testing 2^8824-15 [N-1/N+1, Brillhart-Lehmer-Selfridge] Calling N-1 BLS with factored part 6.40% and helper 0.17% (19.40% proof) 2^8824-15 is Fermat and Lucas PRP! (55.070000 seconds)
modified	2003-03-25 17:22:58
created	2003-01-04 20:33:04
id	61790