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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 #1100000004864581396 2,484 digits created 2023-10-24

Value

430545075169157908561854225071666039473983787253080838586782654578903767326088182559168603745725751101696681410864235244532029169469184988998173767269119888427332342370315014305444669575348766849831211408551166744541499823728604013173066738737791516503373917747718915856858741422931576022906944415438207897568504731211050786418139851009392895664257730017769060327436639989375658398401101982765817515860290695021086442215575728034912940186562032226429522750233322714022866794688823637576381621368668830073872771585256657494171613436814930739748029321936907633013580421091631760500604065793159452673354678547101166570139334497941782842217936067649337254834172614207315645956725679775715347035393418731732377434684355891526096246302949057175886797154709200470137579797038597321800858397538430416406491021606231160465078603948000079711779522307201623485376760977583254422877132418603345075072358036618223868833651028996948762441829852941312551878415975378385115391893730217983069994714351181862567847076819379530794760587632462837378751063461175358669506764949761639686299985994001118213996771663371117678560937382024879828340242496098552335269138810822820091737369789854110402881120025465807330819844988044555357128839526007090987247149190114639369817976770020870810937357930376903273625404099809013745934181574400104253005340186547377067859178315734567157947177789403868446441228852114201313905745180091834685793660153361057740449992581612159893267907302690446045921545495215249059830626335176499786851232146731468993315873466372417890590692684220680315268584096264736236435587251795629534062401807942822970267019052729443067331570277177879411330300808296265053332234943680598574167124884847853212863943770485041570287809231273175557300951319200316685230758782586534860001198596012303405389290719988891411971797267268910928343042712995092600046153745596331403325338723835110436544489715695374509246080142850776867638341152517471486433669337587535359892771966685194297201007929257726944087127609890169410808424000591866314181275071017434623606119557323075182348305982221349836767850772271749781518611309079714163841490518095614640615333592419715576045425963628968517762762386345745667506286440683912930447264383484074220339276650466455640098106434081646497979456590893140260319607547809962194348452802475211154838022592834405459121011274737517011974270276571183985084408050703398268317029344391505033046428804237673633324746025449004819815952729225973584201808725454820411222226193353007
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 37 of the certificate chain of a 2,815-digit prime (319 intermediate primes).

Certified number2,815-digit prime
Certificatedownload
Certificate chainshow step 37 of 319

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004864581396 --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":1100000004864581396},"decimal":true,"detail":2}}'