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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 #1100000004857687481 2,615 digits created 2023-10-24

Value

27186178073426733671267731062971620418959298782344550799855415373892755411232988962042639444169184726821398682430621328180992428485077170179733163838745026124057024886479045376113573299778134682750764012408008781874222380054062991634655031893792103182023496137032225747701319464519978997742827631826597087248313798051685577039552714229190363498767776716720433033626406419713443390333091534619769377151889343998993598177738832320694884195706654716353860620370802400353199165779387333779212987592481015546014536959963575204982377471874291210763070614822067003510649508569448447237926533996939249507448135280310108233114646730140504727685403196785391015230370566549649779022282388806629642301970039075263488863881986075905702272168998511300511751587834410035250470904666621677501797075552681525561143728645579594123330759362581337048437666626256462217653186482717000590331543887909347471327136489368697763135363960741626112786424837617907552529286350569636812710387726155746234864710586867889296349996702977328995591361358076758515561629801625457896322621586356503035600124376986851782648519611189216646384624155943058870582854577654511530475284273149081975157216301230249943417024626796379626100665478751898402094573702905200458090930571745825942157728888974878571040453306867118630410057219841323095009640651493843827275499065710684399702928951156838611442461325985555989398578852192720528471660359635895043798508070359858794901526508835194200716194360972857923876361415919875228360520926563502326948418709698362661236299009578986612053700532783427946022551352288953068172490423960153925583513141391227075154120394208568167809234085122226676530576085758014011811104935336670959642657858174004794726737114048576119260228137764515236879811041021117219715407207300122643307843989326029972609008091212394478818070192443381526358666247791714446906412955052407428836041878092653750096691041734522888295021418670329212868955605255834324303847267186031212490247614636996884211755058023180919161560097172364415483547524760749237928108308260282213707119935546481756642948663693913112939799114745324279275316037027276996551787853768273668546451920121641307960997246596408482227844548809169161571593439846383156210743086272088017102295374238774347618532671446657508953328364540005677613718841079465416164712705868121974773408295107446012705317400738335087714710328657055646039157947975194512806316725585672615910302632018037415862295125580197236954659859730915396597969662626171612581307034906849201386310301361239178658125089313889502660254120912762430451181855468816660715391116704055274045335770292027248105379148054506390073
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 35 of the certificate chain of a 2,980-digit prime (329 intermediate primes).

Certified number2,980-digit prime
Certificatedownload
Certificate chainshow step 35 of 329

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004857687481 --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":1100000004857687481},"decimal":true,"detail":2}}'