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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 #1100000009070626631 2,103 digits created 2026-08-10

Value

251848586699382441625140833073901893143389144449186045692577950248991125707107936374816265459490404885584968513851971460136204185686870279806355607708347959304579481165130030291136746960628658118733461875153540887258372432965539750202902247660245205319933688643575506420852004984802879712291755485912682500708517041219547511959969001427994480615189250064526704408973871073670118732103728352372859387401458887149379414523050043762811405592445902636293518635144167015470663623223922805316993345100809735279230442792429494677913488382898422368417420958629656525612417133454595733956281535457599123482118539689869448582171739217295664454417731856285033674738794648681916111401904687899310152064752143468220327756939321876369570622789440478501594276739306088468203637427461620361525881558848559083048138142904514530115040419769450241956267848414443331010036751424849522163176546881519622148845156046958197129499595329615124566848846987946741596587263014377812925762342970627662870090182328051656623982703751583044238295508465394566390268462355701260778197947645013817391495660251762006072913985427445556777809513938225840796199863246258024982029786307813549322785619594716210370823717019363694796988918896077946936732593783454454622889351328886153082123586326831664213095551591783099729561929743071204674676440175448667093502776456585502350631269589286372493487442072222192049976913182733613631995956503387420582149834750216697769367062063492418329466466209096879876513476020688382985159427233878134721123283773435967033638744450062681304421181701172145168093658768905752749576203194757752558254869047037455140425391692998786673910998834319648143129062911924262129830098275352704796922905496938815294541966965364227446915894026540699985393223825643994239081833896365612308301626190374157608957722086521144782827441646332214104763953490163924382767388672385727529074815911879979970888773465076070192017542353217943030914213096286470608371631344549965260462014277601683357121583083020761881610841350557089412115583074627724825967171476047466576550668847863802360443745911654814671464635900650149383545927160407
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 66 of the certificate chain of a 2,931-digit prime (219 intermediate primes).

Certified number2,931-digit prime
Certificatedownload
Certificate chainshow step 66 of 219

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009070626631 --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":1100000009070626631},"decimal":true,"detail":2}}'