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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 #1100000008270920338 2,258 digits created 2025-06-06

Value

44674498289633467409318617686145485749676991607966775711952908273913936787823432940104028636720420423192976346296938449245489988604739075226137669199814029103424772989504252034199881527602876440431002068802117271406578591701204271473822831749899802012363476515149925685208232226675190926177288873365657956497941113655596042402961622464295236624107378174288735590558235026624321383778632151451088712656336579699579031192718004629018428501572793590156749382171490026886550502493941961551386441641065449463794766562356577718899952488596877896663076373571625400481164187863453458736553469978448448142858694719056225954324900913291622854981533330447681085930352594641075430179308554214939062399154759691145787829847225492552180788990760709935903486368174554636091677109818267130009791966052191966161852632029055239987640110818989045885724669534911733510097035527746644270802191644249459496713393907280993941942974602148640068114147747654577980576028442441014292423336484917776701047275482459960383414651084999901881491491201269242935042199509796683766722988974099969291588966462863222259106372650379968079744891789291736976873532211969826618170254704106359705191799992174430896030457096257379352271592574448621735558748849015411469981897083536210261159505929711172856377826070046707354940868413934366628444231485377098929037165311120354626706126416015636573773310643245349738544267915387046103652167661388277277041957667509990724549672977781364223358501845704892406303346101279047106992699960704884326996548657674596555076374566277110211579320286808332465542804912919392952978028545555935010247123038383136005239931701202462339397694043406269959210866770749609926484253911357058555406879742261321597100892327844930644024000305958364058337649118310186390762793689596891707016719087180950919892181104624751867904219575074524016609911411808555631287718593185910686556267287998415953046157068137376308288584964715912760163362419225911059418631900686786718376526472675699580340122276320964215080581819954909215150796842946423828627061554686646752620706460445987714417343368730493041317924607447692215148831155317945880803953906645354620064802976480520845683938410323387110401928924484404629336628021438437056081536853905605831099855340511596490264782001280882992352777
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 10 of the certificate chain of a 2,344-digit prime (246 intermediate primes).

Certified number2,344-digit prime
Certificatedownload
Certificate chainshow step 10 of 246

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008270920338 --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":1100000008270920338},"decimal":true,"detail":2}}'