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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 #1100000004831646652 2,699 digits created 2023-10-24

Value

39917571607085803197723679075974409079730604797146306589669228051308218377583758366255350253954920765633356370053513964214754216955561345008397103649424907805340313027834049918975844896461396734168474470801610837912696956704022251655762937873514399530946722285120274916871965824006703532918355880898788549654644789879694102222864119002875231695618202158490702883615279736575337729326812663656958627417099211528296265943703707244159624128887944302216014102915100448710481152384883591106763880368295633481250154127613766724222638098666421561227662275020571880352069482600778174354086227660211461719613895948278912572396841765044683289075733552511635898574530551125116286677163564887523656347929850442889253507169198436660875720377238942136306001483613697766666263924415748042950707122176604846762100773637661825484755072900140585890868163455947002834132234319997859021386112764128464340321394221159786382163049389788535244398741489797774137377108165561378662008450046942247446372538781872778211742355594967256990916328119444386225982539628097982334393129343646898866880665596284373238185992286668066710381726166357755874483085701634597062959782378402214011087065838708667885828581610256417020917997798757787039352107178497851085386799167851563017191677896096350119398518900468371554549185732018078352592876015371720300251712009329530379401008955236756443022945896305643586200874488776661193032554877526862370617264617536337514907043393833277311128299364668021890060294016754458322541936981856007492237953912689014012384554948618499145296606016062259759231110029637780004317235883951419909026056433783226059347361182918003790724356601503711228307409045972302754575796444849365611027350672082066143478707757165100714708878051693512938598125515282767441041917011860918194295798278717403935535150244355992286356963230312411673340872289356641784220588588226213678188308433447847416183968310421595618041091138184149725834435937398939495005870225066605402600964753391778685600855997816574893975588440004803926404882455625650335961286066841069907154640429937578828825557494993600334489758734142821702207307745530425662386084119682117314332925830034460452860152476062430660434278117386300718576649532205381661260117695823511985795402496955134246571596894370587922293638032606522462887710011540559713580172531842873540511761060577044687298815784550439538010727662639456606897493275960199316038091873424682370808461829014344404874467438380404089083819440637057469828073510670365932773755510443899055753167480275506665820088684703212358212234157431225559502292616394054275824044187411807142919425033815084183587253382724413508775337482969960778798529463418790537411041019131780193219961478198366467523708023217233
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 125 of the certificate chain of a 3,911-digit prime (465 intermediate primes).

Certified number3,911-digit prime
Certificatedownload
Certificate chainshow step 125 of 465

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004831646652 --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":1100000004831646652},"decimal":true,"detail":2}}'