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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 #1100000004891139023 2,088 digits created 2023-10-25

Value

478339005371744526478157247086205134063183019721662887590526943620251471816384562042079476824428898583585874618062705538984862983056387817276161050617536175164157722699169940886073085480783051622729320563802946360066480931748962064606776615681603628447609880711947026005213455377954705575608852857942619114834866026490937818158680478162999471978817812442463470812880475184852079433088792016832062917524751097563908133909474861742172209822541038295385055316315901101608319573792357830743300873152529764384664997225271717053329812010462388525482682989169020339427417936318526800100087722036324352666063736890556442692722367174171092047620682476849169232584376833677163572226969852730341638720886055691311567989992505017965592137870630627392813142080181474727514138985036911032682405096262254816108639798545100073421803192900308152089876195390973420072485082573057198336505984632983754313279160398719237613421151441006423513815363263037380009645535849846751535383048390274384035498737220531615598134490127034273728542308328642785205613272615776838256820727856254450492073015549043073575090539916411904418335855731382768371794866147677577403378280387426590799355154660480228552176569391665725386500210108439384925948161091240575234100561350544682575551935126376472919442634265341624459202128291970725971934611638489132481465652568553383677337577253516686853458510512308045396858790975863822804211348807683174082040622700435946547613036416088178544948966170123257162876584400089330848253025091416354915470424598272110507712669937282001481939278444871271656331275847674470853790910221711580342783957028296152277753848610447079368644369248701634692016937499545777821311126954203086248148928533347505844971188725952413408132147571648147483362475951161006410150239753052461363579990807964763041594458398025392555229854908379759327998267676681065933401613086432601024427667843528085149496709603881799870342102120736774510429930403631519168201223006684236380910060685195237970560219941005021721797008197739413701115895641558976813072608761308889491422531340995698266834981880469276068009967310745017
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 13 of the certificate chain of a 2,240-digit prime (172 intermediate primes).

Certified number2,240-digit prime
Certificatedownload
Certificate chainshow step 13 of 172

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004891139023 --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":1100000004891139023},"decimal":true,"detail":2}}'