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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 #1100000004854107137 2,716 digits created 2023-10-24

Value

4211001790730315153571352643594581826080322312980777653908794067410649110497469484325605285034629752887049524540110127380085954732003961388356542916402872519387356781598238765321263836100533334511989111766299732256354854872167654615040244448309695252327489189892190732584832816658884188867658977351106433465688786220995032754002095703078176343927791902707742920306176781528955195617088321122113294180437832639869548620290826770598583941431921204436861305498045146891192755870422830894255373661210528940020076057822853098858844726626830070832867475633435675973348805131930800440428710616249341108516991575978660715651348020505539083624868558918205038524972722210196405520800133015869467779655830321334194216320377267533910421504289547699193920196445935670860250028112507189908083259893535933408690435883730277714708693088173982347422855838274347173962432987640521083530288324806020781167352116850202910943216179819657161183174568597830187394822236081997124475807053080986091413025318267017274658926737680972053799343369245712355648804750890441720190152328145739262613652236038955838164703908204575396662703720477305513859303551645576409325632470371663415282424994486985074915001609410369248199033284420344829680691874558390131152292704840368487854109702377477494533826808100427670944852810749544230529435149238560060849782655533672063522365125923127349986779776966495988297769961246328089415725781207078046219898717980546791615600823012723272366815978186254074307405853412506619664091872826347441096559092158411401035671588540619071534124691363617175640035924910674890535026905203075593299002837441695046774786641085052821592151323565168458660372205260109148146172459114937426365979557328527027919035151614859754164544100208200970571096538278115956817365830221890431203498100513744437706622344814851962702768418845944365339470254198547304595060251035676114992354687689832160788337281487487236492228957793633260400183908666289432995289533784552046135624922790403668479478795110934128792666505174590325856531074210235779021698393076856228290789310089850577349754358692283151755898799851676847731292010537598934553301790208203860614392585707767569172909361445337191100924331724913668036602860409913118951916666347723275285734626786770894249682615660451064306029992735883431496996689611153919737855399005943374072735976401549750244849176570938557896759938389217428649395357661906867726633194223751028342690203108665983520035641607739397831994540698806021239864097823173932923667367424766019723937853827240952887514028333508434926129474357925590543891614706627326038114614460442077203072102566469944660907095807397718987396300131259320965726506114337405067932804964724462225868798118002648002920761817706459097573168848481
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 25 of the certificate chain of a 3,098-digit prime (215 intermediate primes).

Certified number3,098-digit prime
Certificatedownload
Certificate chainshow step 25 of 215

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004854107137 --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":1100000004854107137},"decimal":true,"detail":2}}'