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Primo / ECPP primality certificates · uploader #38 · leaderboards
DigitsNumberCertificate SizeTestsSoftwareUploaderChain
19,312 (2^66497-1)/(2^2293-1)/7140061530624311 download 22.8 MB 1,097 multiprecision.org/cm 0.4.3 Alex Kruppa chain
18,192 (2^123435-1)*(2^8229-1)*(2^3165-1)*(2^1… download 19.7 MB 1,016 multiprecision.org/cm 0.4.3 Alex Kruppa chain
18,190 (2^80910+2^40455+1)*(2^558+2^279+1)*(2^… download 16.7 MB 856 multiprecision.org/cm 0.4.3 Alex Kruppa chain
17,653 ((2^36656+1)^2+3)/((2^7332+1)^2+3)/151 download 18.9 MB 999 multiprecision.org/cm 0.4.3 Alex Kruppa chain
17,191 (4^28573+2^28573+1)/1057378152607 download 18.0 MB 972 multiprecision.org/cm 0.4.3 Alex Kruppa chain
17,091 (2^60287-1)*524287/(2^3173-1)/(2^361-1) download 17.3 MB 944 multiprecision.org/cm 0.4.3 Alex Kruppa chain
16,716 (2^69625-1)*33554431/(2^13925-1)/(2^125… download 16.3 MB 920 multiprecision.org/cm 0.4.3 Alex Kruppa chain
15,587 ((2^27524+1)^2+3)/((2^1620+1)^2+3)/2454… download 14.5 MB 868 multiprecision.org/cm 0.4.3 Alex Kruppa chain
15,021 (2^64165-1)*(2^313-1)*(2^41-1)*31/(2^12… download 13.4 MB 830 multiprecision.org/cm 0.4.3 Alex Kruppa chain
14,297 (2^52193-1)*(2^67-1)*(2^41-1)*524287/(2… download 11.9 MB 775 multiprecision.org/cm 0.4.3 Alex Kruppa chain
14,035 (2^93195-1)*(2^6213-1)*(2^1635-1)*(2^98… download 11.8 MB 782 multiprecision.org/cm 0.4.3 Alex Kruppa chain
13,786 (2^58315-1)*(2^109-1)*(2^107-1)*31/(2^1… download 11.3 MB 766 multiprecision.org/cm 0.4.3 Alex Kruppa chain
13,343 (2^60030+2^30015+1)*(2^522+2^261+1)*(2^… download 10.4 MB 721 multiprecision.org/cm 0.4.3 Alex Kruppa chain
13,231 (2^44431-1)/(2^283-1)/(2^157-1)/4306195… download 10.6 MB 744 multiprecision.org/cm 0.4.3 Alex Kruppa chain
13,217 (2^44654+2^22327+1)*7/(2^538+2^269+1)/(… download 10.3 MB 725 multiprecision.org/cm 0.4.3 Alex Kruppa chain
13,202 (2^44678+2^22339+1)*7/(2^502+2^251+1)/(… download 10.4 MB 736 multiprecision.org/cm 0.4.3 Alex Kruppa chain
13,079 (2^43502+2^21751+1)/71426334276062353 download 10.1 MB 721 multiprecision.org/cm 0.4.3 Alex Kruppa chain
12,947 (2^67235-1)*(2^1921-1)*(2^791-1)*(2^565… download 9.9 MB 713 multiprecision.org/cm 0.4.3 Alex Kruppa chain
12,814 (2^48127-1)*(2^149-1)*68718821377/(2^28… download 9.9 MB 716 multiprecision.org/cm 0.4.3 Alex Kruppa chain
12,644 (2^53977-1)*(2^701-1)*259969/(2^7711-1)… download 9.4 MB 692 multiprecision.org/cm 0.4.3 Alex Kruppa chain
12,507 (4^20807+2^20807+1)/2318963713655550429… download 8.9 MB 670 multiprecision.org/cm 0.4.3 Alex Kruppa chain
12,138 (2^55495-1)*(2^1009-1)/(2^11099-1)/(2^5… download 8.9 MB 697 multiprecision.org/cm 0.4.3 Alex Kruppa chain
11,943 (2^42991-1)/(2^3307-1)/8191 download 8.5 MB 660 multiprecision.org/cm 0.4.3 Alex Kruppa chain
11,695 (2^58389-1)/(2^19463-1)/501545671318332… download 7.8 MB 625 multiprecision.org/cm 0.4.3 Alex Kruppa chain
11,522 (2^62439-1)*(2^1601-1)*57337/(2^20813-1… download 7.6 MB 618 multiprecision.org/cm 0.4.3 Alex Kruppa chain
11,155 ((2^27056+1)^2+3)*((2^774+1)^2+3)*99738… download 7.3 MB 595 multiprecision.org/cm 0.4.3 Alex Kruppa chain
11,146 (2^47435-1)*(2^179-1)*(2^53-1)*31/(2^94… download 7.2 MB 603 multiprecision.org/cm 0.4.3 Alex Kruppa chain
10,835 (2^37651+1)/(2^1637+1)/2796203 download 6.6 MB 569 multiprecision.org/cm 0.4.3 Alex Kruppa chain
10,350 (2^47575-1)*(2^865-1)*(2^55-1)*1082401/… download 6.1 MB 543 multiprecision.org/cm 0.4.3 Alex Kruppa chain
10,300 (2^39998+2^19999+1)/(2^5714+2^2857+1)/1… download 6.2 MB 561 multiprecision.org/cm 0.4.3 Alex Kruppa chain
10,195 (2^34402+2^17201+1)*7/(2^334+2^167+1)/(… download 5.8 MB 540 multiprecision.org/cm 0.4.3 Alex Kruppa chain
10,116 (2^42145-1)/(2^8429-1)/1360481187489251… download 5.8 MB 540 multiprecision.org/cm 0.4.3 Alex Kruppa chain
10,068 (2^39074+2^19537+1)/(2^5582+2^2791+1)/2… download 5.7 MB 531 multiprecision.org/cm 0.4.3 Alex Kruppa chain
10,014 (2^42679-1)*(2^469-1)*(2^91-1)*(2^49-1)… download 5.8 MB 537 multiprecision.org/cm 0.4.3 Alex Kruppa chain
9,935 (2^40411-1)*(2^251-1)*1065353089/(2^577… download 5.4 MB 518 multiprecision.org/cm 0.4.3 Alex Kruppa chain
9,744 (2^60765-1)*(2^4051-1)/(2^20255-1)/(2^1… download 5.4 MB 517 multiprecision.org/cm 0.4.3 Alex Kruppa chain
9,576 (2^33373-1)/(2^1451-1)/1987881628350292… download 5.2 MB 505 multiprecision.org/cm 0.4.3 Alex Kruppa chain
9,523 ((4^7910-1)^2+3)/228 download 5.3 MB 509 multiprecision.org/cm 0.4.3 Alex Kruppa chain
9,502 (2^42835-1)*(2^659-1)*253921/(2^8567-1)… download 5.0 MB 500 multiprecision.org/cm 0.4.3 Alex Kruppa chain
9,169 (2^31558+2^15779+1)*7/(2^1018+2^509+1)/… download 5.0 MB 503 multiprecision.org/cm 0.4.3 Alex Kruppa chain
9,166 (2^38105-1)/(2^7621-1)/85163760511 download 4.8 MB 483 multiprecision.org/cm 0.4.3 Alex Kruppa chain
9,142 (2^37970+2^18985+1)/(2^7594+2^3797+1)/1… download 4.9 MB 498 multiprecision.org/cm 0.4.3 Alex Kruppa chain
8,496 (2^42447-1)/(2^14149-1)/865811247632854… download 4.2 MB 456 multiprecision.org/cm 0.4.3 Alex Kruppa chain
8,446 (2^35370+2^17685+1)*(2^54+2^27+1)/(2^70… download 4.1 MB 443 multiprecision.org/cm 0.4.3 Alex Kruppa chain
8,338 ((4^8658+1)^2+3)/((4^1732+1)^2+3)/151 download 5.0 MB 594 multiprecision.org/cm 0.4.3 Alex Kruppa chain
7,499 (2^41481-1)*(2^1257-1)*627065225143/(2^… download 2.8 MB 675 Primo 4.3.3 - LX64 Alex Kruppa chain
7,389 (4^12373+2^12373+1)/5830585411740840948… download 2.7 MB 659 Primo 4.3.3 - LX64 Alex Kruppa chain
5,907 (2^20957-1)/(2^1103-1)/6822921216416880… download 1.7 MB 549 Primo 4.3.3 - LX64 Alex Kruppa chain
4,525 (2^19747-1)*(2^217-1)*(2^91-1)*(2^49-1)… download 1.1 MB 440 Primo 4.3.3 - LX64 Alex Kruppa chain
4,377 (2^19055-1)*(2^103-1)*(2^37-1)*31/(2^38… download 1,023 KB 417 Primo 4.3.3 - LX64 Alex Kruppa chain
4,276 (2^14647+1)*3/3842035732842954882252645… download 1,014 KB 415 Primo 4.3.3 - LX64 Alex Kruppa chain
4,252 (2^14689+1)*3/(2^397+1)/295672635081500… download 1,018 KB 419 Primo 4.3.3 - LX64 Alex Kruppa chain
4,178 (2^14351+1)*3/6537806525817719114825252… download 953 KB 203 multiprecision.org/cm 0.4.3 Alex Kruppa chain
4,177 (2^14429+1)*3/(2^307+1)/276226430621860… download 991 KB 413 Primo 4.3.3 - LX64 Alex Kruppa chain
4,088 (2^13924+1)/(2^236+1)/71574225182323077… download 975 KB 412 Primo 4.3.3 - LX64 Alex Kruppa chain
4,007 (2^13487+1)/103153997807286202652561591… download 868 KB 196 multiprecision.org/cm 0.4.3 Alex Kruppa chain
3,903 (2^14531+1)/(2^1321+1)/1928524617524038… download 788 KB 181 multiprecision.org/cm 0.4.3 Alex Kruppa chain
3,687 (2^12629+1)*3/(2^173+1)/614959596455969… download 752 KB 362 Primo 4.3.3 - LX64 Alex Kruppa chain
3,588 (2^13208+1)*257/(2^1016+1)/245863897403… download 771 KB 366 Primo 4.3.3 - LX64 Alex Kruppa chain
3,524 (2^20811-1)*(2^991-1)/(2^6937-1)/(2^297… download 661 KB 343 Primo 4.3.3 - LX64 Alex Kruppa chain
3,519 (2^14855+1)/(2^2971+1)/5280587991769131… download 700 KB 352 Primo 4.3.3 - LX64 Alex Kruppa chain
3,491 (2^17185-1)*(2^491-1)*3937/(2^3437-1)/(… download 676 KB 352 Primo 4.3.3 - LX64 Alex Kruppa chain
3,367 (2^12428+1)*17/(2^956+1)/17273175296934… download 632 KB 333 Primo 4.3.3 - LX64 Alex Kruppa chain
3,319 (2^13153+1)/(2^1879+1)/1429353250338250… download 571 KB 155 multiprecision.org/cm 0.4.3 Alex Kruppa chain
3,298 (2^12077+1)/(2^929+1)/31612789289582931… download 637 KB 343 Primo 4.3.3 - LX64 Alex Kruppa chain
3,189 (2^11759+1)/(2^1069+1)/2824308505192449… download 549 KB 306 Primo 4.3.3 - LX64 Alex Kruppa chain
2,980 (2^12625+1)*33554433/(2^2525+1)/(2^125+… download 525 KB 296 Primo 4.3.3 - LX64 Alex Kruppa chain
2,973 (2^14365+1)*(2^221+1)*(2^169+1)*(2^65+1… download 471 KB 139 multiprecision.org/cm 0.4.3 Alex Kruppa chain
2,877 (2^9738+2^4869+1)/216739061600277760718… download 443 KB 274 Primo 4.3.3 - LX64 Alex Kruppa chain
2,844 (2^11407-1)*(2^61-1)*268302337/(2^1037-… download 459 KB 294 Primo 4.3.3 - LX64 Alex Kruppa chain
2,838 (2^11407+1)*(2^61+1)*89522859/(2^1037+1… download 468 KB 284 Primo 4.3.3 - LX64 Alex Kruppa chain
2,804 (2^10361+1)/(2^797+1)/49551693290550565… download 422 KB 277 Primo 4.3.3 - LX64 Alex Kruppa chain
2,772 (2915^808+1)/(2915^8+1) download 432 KB 272 Primo 4.3.3 - LX64 Alex Kruppa chain
2,712 (16^2723+1)/(16^389+1)/2547397194252901… download 438 KB 281 Primo 4.3.3 - LX64 Alex Kruppa chain
2,536 (2^13407+1)*(2^109+1)*(2^41+1)*3/(2^446… download 384 KB 264 Primo 4.3.3 - LX64 Alex Kruppa chain
2,517 (6848^664+1)/(6848^8+1) download 344 KB 245 Primo 4.3.3 - LX64 Alex Kruppa chain
2,466 (2^10199+1)*(2^47+1)*92341796907/(2^145… download 345 KB 248 Primo 4.3.3 - LX64 Alex Kruppa chain
2,436 (2^8524+1)/3986614259579582375334194829… download 325 KB 241 Primo 4.3.3 - LX64 Alex Kruppa chain
2,395 (2^8116+1)/4825171751129328512493182584… download 331 KB 248 Primo 4.3.3 - LX64 Alex Kruppa chain
2,392 (2^9436+1)/(2^1348+1)/94584420914113070… download 339 KB 250 Primo 4.3.3 - LX64 Alex Kruppa chain
2,391 (2^14259+1)*(2^679+1)*(2^49+1)*16257/(2… download 329 KB 241 Primo 4.3.3 - LX64 Alex Kruppa chain
2,344 (2^14895+1)*(2^993+1)*1867833/(2^4965+1… download 336 KB 247 Primo 4.3.3 - LX64 Alex Kruppa chain
2,326 (2^9820+1)/(2^1964+1)/44224407339131635… download 309 KB 244 Primo 4.3.3 - LX64 Alex Kruppa chain
2,311 (2^7928+1)/7725289460710181863596953309… download 301 KB 232 Primo 4.3.3 - LX64 Alex Kruppa chain
2,292 (2^14580+1)*(2^972+1)/(2^4860+1)/(2^291… download 313 KB 236 Primo 4.3.3 - LX64 Alex Kruppa chain
2,272 (2^13608+1)*(2^648+1)/(2^4536+1)/(2^194… download 291 KB 223 Primo 4.3.3 - LX64 Alex Kruppa chain
2,257 (2^11637+1)/(2^3879+1)/1625586190765442… download 311 KB 241 Primo 4.3.3 - LX64 Alex Kruppa chain
2,250 (2^7897+1)*3/16033092165145338186374424… download 294 KB 226 Primo 4.3.3 - LX64 Alex Kruppa chain
2,203 (2^11421+1)*(2^81+1)/(2^3807+1)/(2^243+… download 298 KB 245 Primo 4.3.3 - LX64 Alex Kruppa chain
2,200 (2^7487+2^3744+1)/235511202132942884775… download 312 KB 234 Primo 4.3.3 - LX64 Alex Kruppa chain
2,160 (2^11091+1)/(2^3697+1)/2040999698784378… download 283 KB 230 Primo 4.3.3 - LX64 Alex Kruppa chain
2,119 (2^7303+2^3652+1)*5/(2^109+1-2^55)/2388… download 290 KB 236 Primo 4.3.3 - LX64 Alex Kruppa chain
2,116 (2^11847+1)*(2^359+1)/(2^3949+1)/(2^107… download 269 KB 223 Primo 4.3.3 - LX64 Alex Kruppa chain
2,101 (2^9160+1)*257/(2^1832+1)/6269127721793… download 290 KB 231 Primo 4.3.3 - LX64 Alex Kruppa chain
2,092 (2^7069+2^3535+1)/163988862548641316201… download 272 KB 231 Primo 4.3.3 - LX64 Alex Kruppa chain
2,067 (2^8795+1)/(2^1759+1)/35055442612945823… download 270 KB 227 Primo 4.3.3 - LX64 Alex Kruppa chain
2,062 (2^8204+1)/(2^1172+1)/80259934856345167… download 245 KB 204 Primo 4.3.3 - LX64 Alex Kruppa chain
2,034 (2^7026+1-2^3513)/119138227659435495634… download 248 KB 218 Primo 4.3.3 - LX64 Alex Kruppa chain
2,032 (2^13140+1)*(2^876+1)*(2^60+1)*(2^36+1)… download 244 KB 207 Primo 4.3.3 - LX64 Alex Kruppa chain
2,008 (2^8495+1)/(2^1699+1)/61551546298515681… download 250 KB 218 Primo 4.3.3 - LX64 Alex Kruppa chain
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From the command linefdb · curl
fdb
fdb cert list --min-digits 300 --descending --skip 0 --limit 100 --user 38
curl
curl -s 'https://factordb.com:4059/rpc' -H 'Content-Type: application/json' -d '{"jsonrpc":"2.0","id":1,"method":"cert_list","params":{"min_digits":300,"pending":false,"descending":true,"skip":0,"limit":100,"user":38}}'