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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 #1100000004839950517 2,655 digits created 2023-10-24

Value

271757809560876589287163835240891844482289170084342343778014150748048094036314155665928980119833504676928633315642789019896556792672796546512251880106763844925812694794166738776342840795924953854182717198333301568564398001907276555820524449921164699347044730600736635327824043479621143646411453988184887766517469930631911709840195535335818838314333809465626484064677316839336945597277562336150659040576639601584954524438877196964911902245412676004582121754612603605771871264860661735472585320728859198988477147888599243047562702272648777481507900469139893700085812176583297133032520967651211820558567933466687975796430773040403750505982730399343050721853805042056400801333359063078338104973486584342525513609216546749150489157977868711528319139219462629285323091084043096678994276202675953891266731127569190729819218138661591596571061828339354204510918216474283741710904875973383302699493198856514016831910527143546347503864166002981145461123490789192540986707989299061768062916275706175181205394312560341995971972993705141115405215050235874314926183761347689575515234340995474953265091666327630789828397927332799943136854060079279777566018792061442314334959108551029279531029300760986407051136354549496004075067840779639800194796249064921618538948903545112874597349005884263960348518057643841429000313324076425197048251500868200777909846496065010552128501700665695234243722196373207495007031755542963869120203700349246635007294385239182949304419070435532006236983567275021824189876719408868447295555070604449530951912404689366711235313075063802611261873663280071717690893133352796197463638427973477118908331984857255633998153829705532979877946273527514325400649248624411883873220722602033319954503338926832539893633757756274545190878091608679485923424838254002075896856038449627749810944390031969248555673813261376990665715269856353558253655117401683873455503785047128204949694399891771681544314067535486238478867650238299865329033431987855281114815738539785105446430816374267164698723917431016640580937573161579496981340458520526900577744362629770656727506368717913253663393110640833345351976859670551095164081335226567065494135991536228513743732046826257197875035065073883603954718303780369256193474232926965603482224874618380086773510430842116748803337861200601114685150313438121657506261724164103155667992589669837079298750602404181252518497722811109402301896685279062174845479808176008105454278277245319321326467666495348595215219320299856986959930193173202347946705603450311392559511613611437866672391253932086921679550043367578552208862910127863828817405885621468937580906363717275189282785585483500049602114909886228088996647560129690226660815657
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 77 of the certificate chain of a 3,512-digit prime (353 intermediate primes).

Certified number3,512-digit prime
Certificatedownload
Certificate chainshow step 77 of 353

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004839950517 --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":1100000004839950517},"decimal":true,"detail":2}}'