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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 #1100000004873010656 2,276 digits created 2023-10-25

Value

20425716745858049906517071564220723920583227889613013203152592068875650676755679753907802412474178069401593089807332442710681799747580270803539915413136395128038694815018984209141329488141337971923613186422538596052621019137269989178892323800501580991873262074497831728019444320622317259444993662333329647826608526437371501492067152965666705850967455057453465448299470826312356020527126388359797783183132965989705154471921836979571773200595374127599533542157870981726985913298368777456408989325749625338413772865709067053092214270228656725071364070974954538488678697740592440987725224786214005959544271509257958358922224487901477321662116088160686821298971349906680731631085449082576275579855296007908697502099446263631152545665836173205927218095252268325757148527133468692986293408232001560863834180651430201362651228925297177971298730986980787012007396598592365193171812148243153526027865480293419398962916298990132033358782795343163110593603188879851297502670657388197877283488893599505133860547812733415737673153212788170545118043068593636362525945218875042072010764355266266043888087322458863163096771679674790121056254684252287682511501090051216279042899231027546728640308817465475161063483042087470238503734211735455493210577197179800479700472664378138243111697283856414044780912625997006587324898239921902121656714552193584726400730799816499172219376850630427708944579073520360051744946090225804112042851926263624421911744016191781653848381817469514825346518660963721730928471212738321284682765656219945467768969906497208256773554649404606639898417117231978914784302883560186260621521985273968489471211115289082533771965798338335176752276264310556111703072290269435929599613843643679165862492545344410640755826371073173657839421236729168007984976012409280286958418793297719778808827311451977160091297886082509228555956420405149619737688229178905986739296323063091441772100572563563084499083173960229359884354383461725130720899961130208619873659831398264706175736974084403798211836630708361659403548202669008832450633831065264167611923090128634724005607791941450164679868461055787608896609322863103249091699390700915203558415774362841651899259135972924199769715374962454057418018188685640124940887827311117800272287984073849558809604041971382896042393110573759046601243
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 35 of the certificate chain of a 2,556-digit prime (357 intermediate primes).

Certified number2,556-digit prime
Certificatedownload
Certificate chainshow step 35 of 357

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004873010656 --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":1100000004873010656},"decimal":true,"detail":2}}'