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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 #1100000009115537431 2,028 digits created 2026-08-28

Value

145752252706939632223021421933528083244890243988002269569299599674442262387785413174136973572496040359857167794066995090599827884274716302079574841677756032619021873781878215456976367581765984190483376357627844993120422821926080872523416405411180207448181484209753072701507170635554237002380160822604966349175071122104339474694678002247813886159909913695576978457356381551986868923448647731935633523447029903864293740043051751543864294315483853811908009382458533724886092786867316876006643016123958561129924456640743899067000058284902688892705395917740137410579453695457805075438325697746702220582131145358339235607569354057661177791598546867190615045673124981025479504311809720802297029222983009777832093808345858397077069417565682130384866719121358958706828789958423215416121134789430711422747132168273554920800822477704366293298598122537069748429500215708446947830670071132011713810158141972275559057659818868657943560759988357113040828564533809233115054858449545764520829015724101080751110362385746317327277296355063220495551811923843136834087726870066812550718664493382515108999537349866385580852193111985164127249494976719626520116243565694228485456651307014353890918289201363364072564624929810273829770650470011086296275650163696905258063038628057266486628847084096746201192089095300082806547894190097944796691642128242199719150374372457306702813633715447168341825664490582224465027823324883533340991107645093970247992229015920668742506076354535126106962514911951762562928592029526828633117610325878846713044375383901603159305001522165485436551293782973754296786098647727325136511634413076300775907266283032297172446623410425845267917434145136413687079341182920499729941861443616931264525832796233995968444314386930593931364740455779994513498728825612417128553084132984948356295427692367861037093290904043142072511419567647347010279324382044862833444385787718791891779854078236619144762289125637500549735017202808056167579198311541607872490391975544363602055758390910108227835944942638754124163702233010126807235582300841
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 92 of the certificate chain of a 3,016-digit prime (316 intermediate primes).

Certified number3,016-digit prime
Certificatedownload
Certificate chainshow step 92 of 316

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009115537431 --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":1100000009115537431},"decimal":true,"detail":2}}'