factordbrpc · fdb
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Enter a value, an expression, or a term with a variable like 10^n+1 to list a range. Switch to Database id to look a number up by its stored id. Reading never stores anything; use Create to add a number to the database. See the expression syntax & functions reference.

P · Proven prime
id #1100000009064917178 2,781 digits created 2026-08-09

Value

676168859794304949230378885438241138153130399619904929309638503764321334311409889304080853077641024664457238725783530710179385144499642622183641141666023002585161783523615584891116669585753972507909721528816001473028593365498744806527363574988329333118261791163176576645688658629289721002591107353954387946259189233656954004199275449801490263556818497089365870218050834680373802797472986534199783191644606383595407095994932623123536348363013110584005564421079827613358950321619734386813623692730775464971320670851979657553336074474113797357204398290914493238365453722089975005327408182007358276425362383732565905601250259864997141503780399859043905189867379600757880336804596904006459091068085336277545561491052557849445516864647429018736142671618641473260222631944996475725435573013391472199914640729741541696530933081658181873000893004738037956364533899345657512846776004715712965256830371866593010227914910106937517606496580001987120912348653790291407225250455529406588168929177257323474300844132305116832362455220402691335032202328273058451904994760587933463386956046333325111357433188771677407373063862919418861406033647037511572083095858586438158656018029479278072861273603547643572222367337091734424737313685189209368794850739250568356073568934101677514912300947790833211776131026916090773782421878038802553221383382540636033777626049989853262861536336536442720493423121060663661059354614755059065358315434239953612994504071684725951367270065042577354044627722918423674773511083224370414315999266023303022882314820752326472500067675725502291951191061540234988537534505219915551411700004744640722360450721466023546378117184135758762997202682657216240275535379517034443323195151860355385058008881006777180385143820051754600855496624529914413242417413414274653899131770491189473607380602555528092971097022513936027240925712394917512096500353214923963419102596237368923288980207105522898243574445810297726673454497661806279843134216546941782581253802041329184313101985279214272678115592734084104718150013679905340395819784728820140582812683699031124339407296590403007602650176317262502491161595682581499134730108654830462344949180775572819331649119588506144997539306467903429769245502727587663231159288101677222865865119199307570934771506793191628154516633336367281357617562279176845638733516085765966843395683361214527455399534639140562720639534017148344954422485501647673203551702954640184232014226873684778445436508106491041905901121333163636761088181461157378883114545333375782583867422824802010251666420681452961991144310000378204548927475635181057587741127787143799851138312224816839888781443024724485233075821258154706454923490708974955557058537395928676714573341096104490287256452973444817608105532421272790024415700234529425025663969472724781078413211096683327821405689
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 10 of the certificate chain of a 2,912-digit prime (218 intermediate primes).

Certified number2,912-digit prime
Certificatedownload
Certificate chainshow step 10 of 218

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009064917178 --detail 2 --decimal
curl
curl -s 'https://factordb.com:4059/rpc' -H 'Content-Type: application/json' -d '{"jsonrpc":"2.0","id":1,"method":"get_number","params":{"target":{"id":1100000009064917178},"decimal":true,"detail":2}}'