U(1506, - 1507, 2521)

field	value
prime_id	68394
person_id	9
machine	Using: Digital Ocean Droplet
what	prime
notes	Command: /var/www/clientpool/1/pfgw64 -V -f -tc -hhelper_1100000001178102954.txt -q"lucasU(1506,-1507,2521)" >command_output 2>&1 PFGW Version 4.0.4.64BIT.20221214.x86_Dev [GWNUM 30.11] Primality testing lucasU(1506,-1507,2521) [N-1/N+1, Brillhart-Lehmer-Selfridge] Reading factors from helper file helper_1100000001178102954.txt trial Running N-1 test using base 23 Generic modular reduction using generic reduction FMA3 FFT length 2560 on A 26605-bit number Running N-1 test using base 29 Generic modular reduction using generic reduction FMA3 FFT length 2560 on A 26605-bit number Running N-1 test using base 47 Generic modular reduction using generic reduction FMA3 FFT length 2560 on A 26605-bit number Running N-1 test using base 59 Generic modular reduction using generic reduction FMA3 FFT length 2560 on A 26605-bit number Running N+1 test using discriminant 79, base 16+sqrt(79) Generic modular reduction using generic reduction FMA3 FFT length 2560 on A 26605-bit number Calling N-1 BLS with factored part 36.04% and helper 0.11% (108.22% proof) lucasU(1506,-1507,2521) is prime! (7.9064s+0.0004s) [Elapsed time: 10.00 seconds] Helper File: 2 3 5 7 11 19 31 37 41 43 53 61 71 73 109 127 137 163 181 197 211 241 251 271 281 421 463 631 857 883 1021 1801 2017 2131 2521 4591 5077 5167 6301 6481 12601 15331 18481 26041 39241 44371 55931 56827 61339 76697 95257 108217 190369 333581 408241 460561 680161 851761 870241 888721 1151911 2386513 4638541 6978061 7105141 9163621 13580981 14559481 15665521 17838703 26211001 33623633 42997753 43198093 54362989 82055863 444610351 1015887589 2193937621 2448333361 7833347131 9069049081 11231993081 12045546001 28514300021 33917326741 125713252661 165184901701 393782436433 2800322547481 3048064373089 38036113118851 51398320756501 55854702432929 591644550254581 3906987898191841 5366721166650061 25315517130148939 28632860171385121 50964664501582849 272221842475417801 523610984991200401 1698091841457629281 5738689244670691861 7251053256232276801 11713306667762659807 11937671124348794161 35375657079457750201 87476350485920962609 2212278693852708719911 4119829617333076665901 16155922130538657796561 54869985267191142447169 63633516423766938950113 321869815761525139368289 5868468312226185899669521 6165031329471598776815561 4867054371456002757849917009 380630304884541831045976726993 6746130681946107489086829518041 7311318621931708128787659704333 60047195922015220767300038781769 221744491360141456648841086377961 458105522254974158798473386552641 7530638246803047854520343338361381 19587215768248906686365706365736557407 208773018858300057130746135605013453410889301 18957628485480354443291084660556824625196565869675887421 2638051821087902382023795719887378770700648745316257497457 80221840294466073840304671579885143542867269109280201501260531 2041540703386175581839554693809208901856918298250646066396688449 21967623513142020288283089570238276213028925357774677477514859961441 74228267513423183465663850536569961089260385847148260707925399870357161 416185433343352418479109862313380651015806584582786348755713665671562801 257866660180091544977858335575037181195267498382610387224366613883544994537 264954577108506854576499638738437140157704856495757042316154394471788196231 769987178710739894501425277801128815783194220563105171270357220781823854280550241 14760528541890370936478345129905258...(92 digits)...13128430889269900607314518011370001 84234813338793376096044756670754464...(127 digits)...32225661565342318487277317973145311 30632850385046658380433786691610481...(140 digits)...59566065380500279523886723786616461 16629834581362361091123920846273677...(564 digits)...30563762320765283527376519829570721 13 89021
modified	2026-02-04 12:20:32
created	2026-02-04 12:20:22
id	187749

field	value
prime_id	68394
person_id	9
machine	Linux P4 2.8GHz
what	prp
notes	Command: /home/caldwell/client/pfgw -f -tc -q"lucasU(1506,-1507,2521)" 2>&1 PFGW Version 20031027.x86_Dev (Beta 'caveat utilitor') [FFT v22.13 w/P4] Primality testing lucasU(1506,-1507,2521) [N-1/N+1, Brillhart-Lehmer-Selfridge] trial factoring to 2259839 Running N-1 test using base 23 Using SSE2 FFT Adjusting authentication level by 1 for PRIMALITY PROOF Reduced from FFT(3072,21) to FFT(3072,20) Reduced from FFT(3072,20) to FFT(3072,19) Reduced from FFT(3072,19) to FFT(3072,18) 53218 bit request FFT size=(3072,18) Running N-1 test using base 29 Using SSE2 FFT Adjusting authentication level by 1 for PRIMALITY PROOF Reduced from FFT(3072,21) to FFT(3072,20) Reduced from FFT(3072,20) to FFT(3072,19) Reduced from FFT(3072,19) to FFT(3072,18) 53218 bit request FFT size=(3072,18) Running N-1 test using base 47 Using SSE2 FFT Adjusting authentication level by 1 for PRIMALITY PROOF Reduced from FFT(3072,21) to FFT(3072,20) Reduced from FFT(3072,20) to FFT(3072,19) Reduced from FFT(3072,19) to FFT(3072,18) 53218 bit request FFT size=(3072,18) Running N-1 test using base 59 Using SSE2 FFT Adjusting authentication level by 1 for PRIMALITY PROOF Reduced from FFT(3072,21) to FFT(3072,20) Reduced from FFT(3072,20) to FFT(3072,19) Reduced from FFT(3072,19) to FFT(3072,18) 53218 bit request FFT size=(3072,18) Running N+1 test using discriminant 79, base 16+sqrt(79) Using SSE2 FFT Adjusting authentication level by 1 for PRIMALITY PROOF Reduced from FFT(3072,21) to FFT(3072,20) Reduced from FFT(3072,20) to FFT(3072,19) Reduced from FFT(3072,19) to FFT(3072,18) 53226 bit request FFT size=(3072,18) Calling N-1 BLS with factored part 2.53% and helper 0.11% (7.72% proof) lucasU(1506,-1507,2521) is Fermat and Lucas PRP! (43.7500s+0.0000s)
modified	2020-07-07 22:30:46
created	2004-01-19 00:53:00
id	73344