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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 #1100000008270920409 2,078 digits created 2025-06-06

Value

86045835970264339859637118662472802881592137229931027151015719499001768225219081783254713976118000718907780867142784775379685073853260051849410240141648322689826948234733757764131238023102568896262678821526511781393592265305228857333484343124047628640448830653825063597740079724691740169709198875120472226460257165807483936423449692258684016506768220489191171942301897695341041923616370404539213855444904799342025511231548352101070000663361756496552103876238919490540597974759309743387937675643657093779728075068017608106259198055190383686876940336249483325862697248981005766300476147939882246133992802796024418303666568414204918267116408809581693239954787781761342883881441787570141945810680762987706694556415124650978499268714366954743132376780898331601147264869251654996301438750841592654954937110050196398978573700887845337339349895873220680040671743612776162898603340005787226142655831216359825400877228248339803606756179632601073583052265670551545013958424015909502903510253993997563346398887003806390948790775569847785194187725221986637603953957238790477270422126565544597177666713338748744284810636154898670563248057106246085380713265317443822397813420336231970828872402488509860935008376554303685903621853171445835239842557026301845004454288313698272827365944706370791786179646073968742282665096509407384791197479822396495829604308740856574631760510059426498794341405248628005472002266758630268466490053233048058813000803871939148050925632785431958279630507075632579778373368008696585558212793495259137796885272304922344194490385560091385523598082822595090962330541573341742844977348314592257992717115394663101552020738657807409124034893850484089670830252087492875554363536862076751497448105976731778963538400348633791101853519831460863678485214911126291395324942444604224463366624978769622099285387179072158948359377139698265190163083224597379043110889227092263204324465759052626280452348909867260102537957223715493898945762842927911407217685181802776267154033313347361605792907509832371637006596480970852856310042398237031474213803182787601260034590235579252051517617
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 26 of the certificate chain of a 2,344-digit prime (246 intermediate primes).

Certified number2,344-digit prime
Certificatedownload
Certificate chainshow step 26 of 246

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008270920409 --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":1100000008270920409},"decimal":true,"detail":2}}'