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Primo / ECPP primality certificates · software version #69 · leaderboards
DigitsNumberCertificate SizeTestsSoftwareUploaderChain
44,621 8^49409+60443 download 146 MB 3,173 multiprecision.org/cm 0.4.3 also thunkii chain
42,134 4^69982+35461 download 131 MB 3,044 multiprecision.org/cm 0.4.3 Anonymous chain
41,943 9364644424…99<41943> download 105 MB 2,365 multiprecision.org/cm 0.4.3 Serge Batalov chain
36,661 (124750^9250+124750^4625+1)*(124750^50+… download 95.3 MB 2,586 multiprecision.org/cm 0.4.3 Serge Batalov chain
35,160 1831032322…41<35160> download 74.2 MB 1,968 multiprecision.org/cm 0.4.3 Serge Batalov chain
34,273 (10^34416+1-10^17208)/(10^144+1-10^72) download 69.6 MB 1,917 multiprecision.org/cm 0.4.3 Serge Batalov chain
32,033 (10^34051+1)*11/(10^2003+1)/(10^17+1) download 60.9 MB 1,786 multiprecision.org/cm 0.4.3 Serge Batalov chain
31,681 (10^46046+1)*(10^598+1)*(10^506+1)*(10^… download 59.0 MB 1,754 multiprecision.org/cm 0.4.3 Serge Batalov chain
31,603 (2^105269-1)/15188897364861589844809825… download 58.9 MB 1,745 multiprecision.org/cm 0.4.3 Serge Batalov chain
31,585 (10^36904+1)*(10^8+1)/(10^5272+1)/(10^5… download 58.1 MB 1,726 multiprecision.org/cm 0.4.3 Serge Batalov chain
31,360 (10^41180+1)*(10^284+1)*(10^116+1)*(10^… download 57.8 MB 1,730 multiprecision.org/cm 0.4.3 Serge Batalov chain
29,744 (58425^6252+1-58425^3126)/(58425^12+1-5… download 61.2 MB 2,020 multiprecision.org/cm 0.4.3 Anonymous chain
29,028 10^29028-10^8312*2-1 download 51.7 MB 1,674 multiprecision.org/cm 0.4.3 Tengfei Wang chain
28,366 19^22182-22182^19 download 46.4 MB 1,534 multiprecision.org/cm 0.4.3 Tengfei Wang chain
27,762 (74968^5702+74968^2851+1)/6856609838101… download 53.7 MB 1,906 multiprecision.org/cm 0.4.3 Anonymous chain
27,651 I(132409)/2882138154561602271737 download 49.4 MB 1,722 multiprecision.org/cm 0.4.3 Serge Batalov chain
27,289 7087^7087+2^64 download 45.2 MB 1,573 multiprecision.org/cm 0.4.3 Tengfei Wang chain
26,668 2299449512…63<26668> download 42.5 MB 1,482 multiprecision.org/cm 0.4.3 Serge Batalov chain
26,513 2^88071+88071 download 43.4 MB 1,547 multiprecision.org/cm 0.4.3 Tengfei Wang chain
25,656 lucas(122869)/50429766416459430193411 download 44.2 MB 1,718 multiprecision.org/cm 0.4.3 Serge Batalov chain
25,571 I(183537)/I(61179)/17 download 38.4 MB 1,403 multiprecision.org/cm 0.4.3 Serge Batalov chain
25,250 I(120937)/3311205867595743073258613 download 43.4 MB 1,687 multiprecision.org/cm 0.4.3 Serge Batalov chain
24,908 lucas(194181)*lucas(4979)*lucas(169)*27… download 36.6 MB 1,376 multiprecision.org/cm 0.4.3 Serge Batalov chain
24,903 lucas(119162)/3 download 35.5 MB 1,328 multiprecision.org/cm 0.4.3 Serge Batalov chain
24,553 I(118319)/I(661)/I(179) download 34.3 MB 1,315 multiprecision.org/cm 0.4.3 Serge Batalov chain
24,476 I(117167)/17658707237 download 41.8 MB 1,666 multiprecision.org/cm 0.4.3 Serge Batalov chain
23,895 lucas(214470)*lucas(14298)*597219858/lu… download 32.3 MB 1,277 multiprecision.org/cm 0.4.3 Serge Batalov chain
23,875 I(115373)/I(1021)/I(113) download 33.2 MB 1,293 multiprecision.org/cm 0.4.3 Serge Batalov chain
23,725 I(135421)*I(947)*20737/I(12311)/I(10417… download 32.9 MB 1,287 multiprecision.org/cm 0.4.3 Serge Batalov chain
23,654 lucas(143234)*lucas(1574)*76275483/luca… download 32.8 MB 1,292 multiprecision.org/cm 0.4.3 Serge Batalov chain
23,524 I(164185)*I(4691)*65/I(32837)/I(23455)/… download 32.1 MB 1,281 multiprecision.org/cm 0.4.3 Serge Batalov chain
23,465 2009^7104-7104^2009 download 32.7 MB 1,311 multiprecision.org/cm 0.4.3 Tengfei Wang chain
23,268 2012^7043-7043^2012 download 32.4 MB 1,319 multiprecision.org/cm 0.4.3 Tengfei Wang chain
23,231 I(166737)/I(55579)/2 download 31.1 MB 1,253 multiprecision.org/cm 0.4.3 Serge Batalov chain
23,130 1987554224…87<23130> download 31.4 MB 1,264 multiprecision.org/cm 0.4.3 Serge Batalov chain
22,997 lucas(110723)/lucas(421)/lucas(263) download 30.1 MB 1,220 multiprecision.org/cm 0.4.3 Serge Batalov chain
22,905 lucas(180906)*lucas(5482)*237618/lucas(… download 30.7 MB 1,240 multiprecision.org/cm 0.4.3 Serge Batalov chain
22,275 I(106663)/35892566541651557 download 32.1 MB 1,379 multiprecision.org/cm 0.4.3 Serge Batalov chain
21,864 33^14398-14398^33 download 29.0 MB 1,239 multiprecision.org/cm 0.4.3 Tengfei Wang chain
21,718 10^21717+7 download 33.7 MB 1,532 multiprecision.org/cm 0.4.3 U.N.Owen chain
21,026 2^69801*57612705200181+5 download 25.4 MB 1,130 multiprecision.org/cm 0.4.3 Serge Batalov chain
20,911 lucas(100417)/7130429037791016075118087… download 30.6 MB 1,441 multiprecision.org/cm 0.4.3 Serge Batalov chain
20,715 I(102689)/I(3541)/514229 download 25.1 MB 1,118 multiprecision.org/cm 0.4.3 Anonymous chain
20,442 lucas(98081)/84490439013599359615894385… download 26.5 MB 1,247 multiprecision.org/cm 0.4.3 Serge Batalov chain
20,183 2^67002*4404139952163-5 download 25.9 MB 1,234 multiprecision.org/cm 0.4.3 Serge Batalov chain
20,030 5370^5370+4411^4411 download 27.8 MB 1,383 multiprecision.org/cm 0.4.3 Oliver Kruse chain
20,004 (10^20004-1)/9-10^228 download 23.4 MB 1,104 multiprecision.org/cm 0.4.3 Tengfei Wang chain
20,001 10^20000+56149 download 28.4 MB 1,405 multiprecision.org/cm 0.4.3 U.N.Owen chain
19,849 (2^89125-1)*(2^775-1)*(2^575-1)*(2^125-… download 23.3 MB 0 multiprecision.org/cm 0.4.3 Anonymous chain
19,312 (2^66497-1)/(2^2293-1)/7140061530624311 download 22.8 MB 1,097 multiprecision.org/cm 0.4.3 Alex Kruppa chain
19,308 (2^64381-1)/182523187856126457117740191… download 24.3 MB 1,190 multiprecision.org/cm 0.4.3 Serge Batalov 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
18,156 (10^18155*34-7)/9 download 23.2 MB 1,268 multiprecision.org/cm 0.4.3 Anonymous chain
17,880 2^59395-11879^32 download 19.4 MB 1,015 multiprecision.org/cm 0.4.3 Tengfei Wang 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
16,922 (10^16922-91)/9 download 17.4 MB 961 multiprecision.org/cm 0.4.3 Tengfei Wang 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
16,335 70^8853-8853^70 download 14.9 MB 849 multiprecision.org/cm 0.4.3 Tengfei Wang chain
16,330 2^54201*17484430616589+5 download 16.9 MB 981 multiprecision.org/cm 0.4.3 Serge Batalov chain
16,330 2^54201*17484430616589-7 download 16.6 MB 971 multiprecision.org/cm 0.4.3 Serge Batalov chain
15,818 1919^4818-4818^1919 download 10.5 MB 650 multiprecision.org/cm 0.4.3 Tengfei Wang 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
15,010 (3179^4291-4291^3179)/88867015892727716… download 13.1 MB 820 multiprecision.org/cm 0.4.3 Markus Tervooren chain
14,500 (10^17003-1)*9999999/(10^2429-1)/(10^49… download 14.5 MB 965 multiprecision.org/cm 0.4.3 FredOnCyc chain
14,498 4022^4022+45^4050 download 12.2 MB 788 multiprecision.org/cm 0.4.3 Tengfei Wang chain
14,480 (11751407^2048+1)/2 download 14.3 MB 958 multiprecision.org/cm 0.4.3 FredOnCyc 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
13,809 10^13808+32791 download 13.3 MB 931 multiprecision.org/cm 0.4.3 FredOnCyc 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
13,347 lucas(64063)/46442646538114211554269781… download 11.0 MB 796 multiprecision.org/cm 0.4.3 Serge Batalov 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
13,186 5938820347…27<13186> download 12.0 MB 894 multiprecision.org/cm 0.4.3 FredOnCyc chain
13,173 10^13172+22947 download 12.6 MB 932 multiprecision.org/cm 0.4.3 FredOnCyc chain
13,171 10^13170+2697 download 12.4 MB 910 multiprecision.org/cm 0.4.3 FredOnCyc chain
13,163 10^13162+87729 download 12.0 MB 881 multiprecision.org/cm 0.4.3 FredOnCyc chain
13,162 10^13161+51729 download 11.8 MB 865 multiprecision.org/cm 0.4.3 FredOnCyc chain
13,161 10^13160+11161 download 12.1 MB 915 multiprecision.org/cm 0.4.3 FredOnCyc chain
13,160 10^13159+1807 download 12.6 MB 922 multiprecision.org/cm 0.4.3 FredOnCyc chain
13,079 (2^43502+2^21751+1)/71426334276062353 download 10.1 MB 721 multiprecision.org/cm 0.4.3 Alex Kruppa chain
13,007 (5!^9417-9417^5!)*12157665459056928801/… download 11.5 MB 848 multiprecision.org/cm 0.4.3 FredOnCyc 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
12,581 (10^12611-1)/13643653061049795528171010… download 10.9 MB 842 multiprecision.org/cm 0.4.3 FredOnCyc chain
12,507 (4^20807+2^20807+1)/2318963713655550429… download 8.9 MB 670 multiprecision.org/cm 0.4.3 Alex Kruppa chain
12,452 3512^3512+27 download 8.9 MB 674 multiprecision.org/cm 0.4.3 Tengfei Wang 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
11,933 97^6006-6006^97 download 5.9 MB 462 multiprecision.org/cm 0.4.3 Tengfei Wang 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
11,377 1569243539…77<11377> download 7.1 MB 579 multiprecision.org/cm 0.4.3 Serge Batalov chain
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From the command linefdb · curl
fdb
fdb cert list --min-digits 300 --descending --skip 0 --limit 100 --software 69
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,"type":69}}'