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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 #1100000004851443753 2,730 digits created 2023-10-24

Value

772443629433378111189349205438564542262694240307103411550364136945894146702114827362508262309015913249964882519473543278542967070702134805507689861547697399278062551217639319953495849746859212723160991287073504756607299047758110007625892204296413885856296609132152507806521481680374734665712129223594532689912379124666692952756936281484321781660458926505894929163470974895071420828611883141183892743747564553048963553475759431281338957326925961524055189728167931391313772799134427435986796751963460507421935610179900008948541298508384592958158486534151855513334484876378934215890695373254822593811932354563966006166271040005896079021791922973587415653852095257008885200911576622862301078567875532469035074725314281061315088172759779786250574616315858617423103744487076546915699375340253665001274393158027510022703527379286562711039705010331189587361235575491678901941284014094313727227419134220654914210859166770435470604723885218197509862926297451351114009411618061257303900527104341188524773881635538394733778803864013733862748376006286209527859985282463455084403910299814222107839921611443331226977984965560199746805743946435890584731502660914456177782668263366088070878157983119727246102902266460526045925937787013235992453530611284472160566068216958823400580200367005387770686688807838471240591337422099049017732882573600000813917613127370581515903262893842193728722076093470181068086193378120656995194671537648015502683172314318948062341520664172943997769865637363409706965378182203724631767594276303114085777278582123712840501215643513238890803987203211560536389916015450267065083686906509664508272714347357105941877721487673619687045120978532105869475199465063685284351385932989381881580659143580453877294761623823916377705522893217000578834891519298373298213106872828436156023343906204704449044170057202711200795409672833322235950029174652270941958623348685448276303832658518864794525408779991884870528552262818519587622669225041175516336027198167772802442018569555451862554651782715292628342123452933463863435820071122579705462596615754411017939328527856842856421277996972989251205123699512137448904892644952624364913909226345734764260963183568510270048210924850797323302174884635756281600568631253928569231700270909088801519810537883942309517072815033323529754961175663253309233899175868088763062233807894463245332441250346347782503955811188073256676060212738183054744069946545505274651548558452222535384626303639909579130547178470730733380431883346509458369171884052212504841739195349903438586939405262553515228660848655603444698765524270732054531441681659293900659900175325892829698081419659481751604450840396904377897944659271444205734192426508472437617686988924117409208869038293154928597065729070037412387623223807
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 47 of the certificate chain of a 3,182-digit prime (407 intermediate primes).

Certified number3,182-digit prime
Certificatedownload
Certificate chainshow step 47 of 407

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004851443753 --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":1100000004851443753},"decimal":true,"detail":2}}'