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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 #1100000007222400916 1,638 digits created 2024-07-08

Value

197031074388668534426526107835706124282463848162492353285048999385034134676908829330088095120698360576160851504621484313031298861882795049554815676535058921702292189083852693940532870830641382026880015648328575020968622324340329685656543887063811091912972029291838405784755287583552622070535232952053833881866375145159468119384248693222580683374870023806948284790072103910412658526269106332565805978063632301866160321121237707504272364211579512576490090277784617375470656346294305653208451614456308233086297044411790111141785890764006421039557441102234220259757862010132360276744278674135567449799947169225537741498980199869983906965404920910641904311165939177607532456396226157821587643291177747571132284103254919394827978957166570910645596040464203826076369107542453998288166153087645629383978437536936913598301465547146317495371327511573616774769393126003969276739681437532702003318206815764015880048351310197798371370061492556566662876710787033905614292763000740582024767471273096192016242013478688825418786097585362590706664202242041399485129090342326635771315506099623452179761017053646686828325813534782993984197180264917467027653387195901786059950567907497709183700814917681300558861279781097808407947345943358768583960024049214880239815565644318856493923878737068082421855387998929047656205154227830270705458076014400780201852193747564765932594250788386050076155945164868638760902412931847421933053953263155565726982189708393894239449333782011386387433693874046679951796024841518389582982511563182388591679686705525636027683301993451831610920841049270825197271399336470591899558255538746096374145122963375846204866085804100432019
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 90 of the certificate chain of a 2,536-digit prime (263 intermediate primes).

Certified number2,536-digit prime
Certificatedownload
Certificate chainshow step 90 of 263

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000007222400916 --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":1100000007222400916},"decimal":true,"detail":2}}'