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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 #1100000008270920961 1,647 digits created 2025-06-06

Value

422744721385269192061579565358501186637169420679422225331814894945825669882205415944566417639421633696894393417186157186239310607321793559092793406402752089944758523046940744073010515438780793699469202681633975430202397618967006610719560779642294010721477119096517247890479951684092320646101669358235338948174901568755351577449562747390291954715442930934009161144756872313607511756712173297855890673249397713581012692085090942417502839947248406018265079139035532646151358226801355953049483732372085376428157925870996727216481960758913952746586492916989752451244349391134531618571876396609066043511472778620465495853850829769666514896556412377516757320266678741210248840093141883105368257039262073742855490302841736847777410750644219866889114939909317375782768527165515215469893123031026330204180689714500521627366787074299637087496911566427757963814080831823148126677944055503106776874147691751144694334629083187041521869639256224654424613763035455593294843855108955296061868938140480281711171517745650105948922874982674249916265978222324053395122950994266724012824914680351268499331613769708386653831797865340394551383761620731805570208967033940787937451918700014070428590521803239010119325488268729302336745753223514570139948739537741999471424502926279611066122364220405853535239647859605964087885457543302529462483986723410723432223915866558774564578187839864768371629215992281439224432435766326388248926207794613588302160598997950016537084302695523399972243173180020716456964092441907773178778379535373929060436169734317341570655933540932139206604837973891608446399739802372628673736808805600333921965021040777686825490220495747294394069235299
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 72 of the certificate chain of a 2,344-digit prime (246 intermediate primes).

Certified number2,344-digit prime
Certificatedownload
Certificate chainshow step 72 of 246

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008270920961 --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":1100000008270920961},"decimal":true,"detail":2}}'