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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 #1100000004888857874 2,191 digits created 2023-10-25

Value

4286683453255185889979256086191600304382101140278440578234373072504416546125335635253830050288049485547263816924043430329570010044459439018609168653798579216819144923884028047212187513167941001786081213132738462194441950831665121912518874476564472065454518095233425577352818694151054744510006858178701632597257888590048704242633798072402288133962834871812438548579361405344867630339877586294197942750272887482319335809903256979277105863501177014628227311747905934167661500276500761980328627257536465038949378786906808208694698843588450490158769882876584881883378514357775753271341744838932065319773134615945523454949228530929252070858749053657801734830164438591089661867675831102865475040590048962437491207393961621452034805402744549074690360662089562618711600633347263711973304667253205089757153847890274365373481709915397498019069796389610171320315578885024786000609132118089458345581718633078744643604565081183073291514408064704493737138530123501019300045044856108510605694508268926469407226044981907377621452705656820901460377299000280100967967619529370149409313429376683847720690548012973412384098123176388712142801061018382637528389858613594715240246501309618069336791094618078101697604451611269388259581708882700826890505544409138374325953181477836215805367740635733466068329516625465179922459422751289239486168088753318391958091292363280234718107307577043682069941301642650722189095978924537424388407657671941828504719211010247341293520653906954192135242590337673737248692546717069828512944819065688186148472129330282340498542171721199591699704920362980264552747545955978803744219978119909521246772814181880126783195698242303587555378959151151625803961968349530121169940107970951432570089140191049065692324676004105978422917104040154040041098983928497389112858930368637899940138737935909236157929031048280347898793849850960644411887200017908315313709621760101764089757067933690995946309508806172996057778527478839756985621132063864141142790829079329563279622427959469558282600642327650526312433633133409122427835899912188383144484622184264023700498869012956517106692264617202428695866630724638596418702483898343085358909839747562944817184000056370154011177728403826022829022821851977
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 13 of the certificate chain of a 2,270-digit prime (261 intermediate primes).

Certified number2,270-digit prime
Certificatedownload
Certificate chainshow step 13 of 261

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004888857874 --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":1100000004888857874},"decimal":true,"detail":2}}'