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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 #1100000008680838595 2,491 digits created 2026-03-12

Value

2089672123591737563459051172236247873632005615636315789840376757158414037493533007080653554447829837607683809490641107745622043554774807041694580645943720153883026264474393347113623330379018436900091137924701487176228751016958186474044332527215724728210583699832003656936848397996028447503150470351506849607069031385926941178540453135013091761055407783322806938468332220858889489963945141540156667435338589549577300141769494185198624251445963832219574234268743756073778655686041803151913000708627289387983147408091210414701132720387679657513459406425275042041536691436151933199911322631997862313148230407497574515229071907473118034603753248383200379593460714493037802050296025193737851628740329075920888042214786574497067282287146727967023497785912601592499202070332652182480212496095326094822638157513474793957097415886351962595519798005908977285747726955220171831469851078195661282442513540965653301899429966340616368600332066743733457228221913764206052504901282666949609895779376995103820181489477413462308415204007592367549486794820679549415236488411238857484976118345694155613077915737182049408884576866108690925894161953011579644633494843362902305934276828696882726887760029575211274284502484969850069304911732786766777111200035460591946563118656271514004231772985364153540376054221574803486943661373187682219534454702318791427388083232273370523885377114895175234126940788164942450680070527609139292518619760846316657271413153136488581431227401513427873805836526841561182395499911597793774122222398939519424672256242653688126996819900017411761494980109687984880100423114084956496091405127597806337542917023130207628192856145793420740412036750403144838296484548987134149966671053649836298739471841057064200635195782804574524064618595942350326313190481667811962075503321853839253696432578603606197757098618577721473701039199100724532624335261293375139227388406652883873595756807706101615508468337751456819393918659474650821693143861970949848583734576301114048415165886108164520667524308717779093464985955785359115366454938250003453215334593318620821904911250029031651854555981682954298320182665222101380285649815036642128815961566402980077018909271274068150479912879491177912789889734797635505127866128822620983080892832233612598481824055629934682761122458539052123793721783863432289153199739694139201637256940619843953241862041819687644195478008760528839266265793695147505904554056008011200040330023632998770612321288337030500136096998518122360728815291349013616486835880925258789914203
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 8 of the certificate chain of a 2,589-digit prime (161 intermediate primes).

Certified number2,589-digit prime
Certificatedownload
Certificate chainshow step 8 of 161

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008680838595 --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":1100000008680838595},"decimal":true,"detail":2}}'