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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 #1100000004823357218 4,265 digits created 2023-10-24

Value

85257799814438919351498860369680664056015318741733272822991897739383857057000444642653642976450210018244914970507149165739073852218305455654800230042476093256090214790844140689612780564299479342540295921015749453500283801893455482630714715333217879971277665135778952576962389061173499476138142161087807863290573352933378932968475843850316426387009712554155929407438849386954322112665581895621346368745484568267936277871958028608636629261939439050494080682222809748515876721137726724863000343527252816068515221735395295796510985907990220508559094075995783946543031402326674159874501506011556665141002761323705112040458863117041546030334251808233959549229600982157504359196532676333054471106700683374726988632118055376201564867535355239400705577152952159976199541111568133635081838421021375421341503384851106181968609223510111489454201512867740565673918811948515564665492857178148607579992306852104044399861049718874474120469184686610783013674468017397131886816326018510110121352863469348460882944179612209180777706105107049862877160132241377556258355922239638442523601633411092954029557400304448979128664646454558045903394435765938639048390584180332441453076780830618529877936198127113245615194230663261315958409053593697920623525341981422470519712718626204096563255015031197156762973781238639686771775793098064111734772390706860255644161740113366775259655410227669961705281898719887045318609645914357391575149575984740390821573655531928518559833282622923298654929687630672714824495457781513053777066809725020494458714265029454760286186727250161252104205665293429903891254203964636481168242548195690665596819653524793543516851006667850596083090168505221280634262422486615585120947395434571073366317817665306544703720653226947640210046173345420665704569848954085178450658272697409994050988964581746787150139934161198616355328171713842086436489021639904187181077051045061609828092830373678148432145505356904121060142161640750788007821053133692965409475924689277919922226223133302326488923513898214990130446162417096185870847131469630920834254799603351569392054610954907491191765460234410941226010828277738537933623621587629171341188923811829904494216975991604982507810245642172055432127791915215633237170178795399151521219960393671143416673421242400075167059846185262097913720236619392501762584541719957789988167670778517767638571801385462471681267415073005460346806245320763152804761913968581310474601842551086196293509500885119175146710491291171339454603427262122480907567427531329907027116865010017650918642294727238866847006330960486035047453774414021127507026963731151233384364976269726632959003970445166800823503338839069340938899912844537039991267250325199683940171875517127383655510690167160907711278098322831937768905441720936041773060256511406473540337981957520755493438923402845893791888289196586587257646095161380208765652486861458289091799726506203417650329106216985810000878842265210409241106366597614206396745205488397364899333172226709546523834660348804652240812951095332641981305669795032581314549197939126383317621583339824227022560631397113632617902792824512327373865685128068193008413118203487921801310003831994118492822354762137347542734752785561617369071618873470141867612112117822948849464662204587308154651504783570161842755094137358109144853628507676747093472357700038006663456540284213125853878028690591488272820126344582038081205989952306401302453917469148333125876430466026673810607735989542219963968164494468627543946913576821870283354880698771171279162899694085492449823991939806950255439461583114087890750482473480136909543328801172738270362514359923349153603784491991175953438560542304615899255851679193456383274363969137620435936420079648712162358285181624442154611313929339617243558059058148491357945319938118082327070921833219537242946555438722566120484733969129534829639435623884427038303546458645797362210835826039590148042238971278978056263017252795635607829194965551536047251259850564345354940348279668314883112423242505256115893835479546756317310337273869088467300118717398016702895609430002998857342894184438101917664531628257664297198739189835367750840881118276572035134833790940176817199693882530873545079586905574410787693232509686469541411946659875855217762145642474870613318860306114435063656889530761129287374338460084341
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 36 of the certificate chain of a 4,539-digit prime (615 intermediate primes).

Certified number4,539-digit prime
Certificatedownload
Certificate chainshow step 36 of 615

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004823357218 --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":1100000004823357218},"decimal":true,"detail":2}}'