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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 #1100000009123228071 2,877 digits created 2026-08-30

Value

292613409688758671129489600228541863811866344902945062827731165229028809588701993420877513780382593603128555310276777307825916903717952443920400681922122240593582925159380025040681441282980581090061031242862759526702617574746073090030522153225058143533268017721493318230340362568803348855006097260242504278761087755609017734672082362369645847670108686614248247158024484007789677776440284483687610608227643255061977817140591589359790881467616980403157344616635679452925263840043307684338173195272534360256754993110704163866343138067727401066855316558080611869165493757515193514272347061482540476444994161979908375918061245570959826149874823812666707445921253053107299088349368063873340719436622751464068367598794341022822132486756748067180347380274349798030012471621490247205660417046133100423049107287273281355884795234949726884991825913717923927812916739933846673189297491242373986073039829482498716674459550478588714232829762031733557431385036404987552277597479324189996348640983903412205948358118722531751258037871116207551979675884779965715424789819086815555100381533826920743084264066915596678903027476541693040227029558355632541718363096163944940258798379986292343756350300658437189938760033551950458601463575382473684117951882996001147761336209129928406970535545725953676058586129825986206634731160015401593516029029286391480226607994051138955483923621785494771777507033041994433739491039750489356979422226588253989129003141876999365466450880335016120180079555657985913694138896513979625284222225515382684960809405406614640711235346190784754793857352788645489036970696074067085236732883143463860442267075209362740664985113337677436964619951758667688580517897973611150614734613688894122248360025543492108405164506042407043409364997606201022334812424725841406202314678460370138860889576094165232180718549333519836544957067517696223494548326580560270746041152430206215624047559708357525485482202851185444038640484318349819377618621190437737518980559302181580138980906183064357320520125836624823415246167403182150287180207004512701773425307719168968052251126971103530943375600526705262208425584117784469398521334963471750620115902579267956433522133863896152470431806453220432211818087395279278420337123901719022055745005441469171990967657460696115489281757397441444223528682203307766294542300376324387527337698233699225413595398830408954273562195350723089618328121707191368791583622850980278065866116214179696452373366081351861821795475663057474716656806800455059943849062091004891328307779064628543727847693054747147109381976455478834851549820521606458084198477250566768159598083396111758168217076546223444756198912653539590346768361267932547715210023315902963136937700451798012411777982818484292110795576762784851752468229882853356447731734773633998311860422323385099181671569264799064402173038338337283343158626432662178177443175430133648637786270881836225658437088611991
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 24 of the certificate chain of a 3,079-digit prime (311 intermediate primes).

Certified number3,079-digit prime
Certificatedownload
Certificate chainshow step 24 of 311

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009123228071 --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":1100000009123228071},"decimal":true,"detail":2}}'