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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 #1100000004851444388 2,502 digits created 2023-10-24

Value

777216343966402936006108872141800330581054071875708293312729703717812037818748999905360978887085703949165590743240739873558916195089287850342967546347806919796102659453714575168967246792665494017893686739499608553171821067299538217749263184189829675982642039150839749568615471882665656545287761714465020837074383565001854769313595369257285390353709729046892045045331683892512535296638244477968867191294565073595594134156353565714068902623771789997514326296458468308134744257503706021891615928624362765088945749078904738686132888913712649552765928764684749152993880298261763371892338015886549720495255971135638132256623566525879704085790126398895139871357492809956052494493426314476432791354921786580660539042946834625014660445297889638358407724202877150095448145382651830820143951366126333602821376142171844656652825973870488172350532887888086083896955299582369680966020427989793337483703354298827171862083577095130843980248589482997334576372980896792289301414251922453381349942159298208294557878700856822249029396899251719867833068319553050814572587186645084768995148000293016954925232728643114437482214892419553877810139595722128284873510840271736129106917248770776120165373943924691993792387130027313384015129942739396463708502623816642322101510240733105984527361580535521241694609323527696545315910103460951668640358206313821485552392453553976304907805658584785316860852245061868432344917101202245410179838282167029897451122977907072212205528086992765253648313601475769288657942711611873166498190403363740404238947112096184811205280751486169320122566160995503505924008708697535589117556781212101996675176101104682971876699836358478146181396722194919568787297192101571392222982307273330114709219347404333166308944607331973554851223800572874443503687865163350303708755259409561700923113405680487455911911638543740807911375252082183865023059535539517551235544163382426550957069939451434098652851190939254520295820807737270916620518823870943307618092490618433381090144094496132214609676175288221957889968522161387905978959820097183969989388131370657409745981387328535833802622533622477695681882151928231316027042355281091298768289141272750152583424772364811475174188684382246335573769875819479213877046965915448377740858622951048852949542717710457643070011885170351537607167567306185950262875773216796848265816685652381616960558478701333929084864235480787014853534675713726129189490687755349428664294340684433305602512821677168866192295903802755143575538187830534277772826922253009826092353738219309571
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 75 of the certificate chain of a 3,182-digit prime (407 intermediate primes).

Certified number3,182-digit prime
Certificatedownload
Certificate chainshow step 75 of 407

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004851444388 --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":1100000004851444388},"decimal":true,"detail":2}}'