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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 #1100000008680828678 1,787 digits created 2026-03-12

Value

81425176052572332250894786691792154615048533511144276172296388920637139295481261183681818743824413112771179544859015119018521280926286562461281115653603102858448410769094045166193694560744141958148054404063098962726542766994645759106857529930341721084722153687591039256709397590328645204842327220175970868800369991169831999368481126781680416555559073141302345897290627768062424819415271859269815317210681543689850741716608573356111619007930248795045777277097924111534915282752724186292958123694210457057629680849915002250472039371131659155009183912954249894391901519611997851396522799789135135423755774004460960148394456358462713742755181244852613553169738524901767328080365540954407687014511624754083917256974310975418376612259690857346143274960307956071216173474073024436216173321203529070961224687841971542853632182925207618804626692930503795280691696961363073774320178048179495050639107408622346112766427719135397887547679399978450446087905266099599700265119117304060403788424617836544841378330930080068082681360319315935986612239146707760560241106379335250733926941957782202842766296581979648379725775167917875109322205899244235642340578478617390329157478807031020851147680498882340596576783334521176036051061465426745270014169410956836985865038988509379388026979230284527173809377270774287835349782382377673654926832582122436408840186668499605302487308164516216307878898289346907267780036955140256891210475037099190753433729334863560303996845405957256686742925783334701164094741059983479681508753167297666142121731223011612793872190748741124879645616910583848400881804289808794979725889266154313617917612227493700046227844160915769952480598265412300437301383108457927706904516864966078724270832473658213059159290739994607221491588692412976746179835069482137617125556251947298161899
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 58 of the certificate chain of a 2,694-digit prime (164 intermediate primes).

Certified number2,694-digit prime
Certificatedownload
Certificate chainshow step 58 of 164

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008680828678 --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":1100000008680828678},"decimal":true,"detail":2}}'