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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 #1100000009122012629 3,014 digits created 2026-08-30

Value

18645692040112005246802653557081517714070044644212934485660451316421178014404846087003969524994260694159124165883832529420943742175072211071019856885842615049006077463959704182445943654316199401348870851189482850393792284967002454920843885766064969059231259048304675857878665699293552061293680907533442805690644974198365354728744261924425872550544449820742940916185281960639706232334514269892834315803887131181879694469224192237629876107591428797759576677896067337894712898288440540172426401320415339763153699489815505117064643408368911579126776083296104799076467143074771586915798057971697468860187770094934752250837843289434205581684054108139910533917387864115547726980731016546062756106380202185870732704374489149146362467163941307679451562086145039076071741342869901451916141777235319527874455122505871776495395682149675946913913574989100479640026639428327373337416019468672403617102215700521688777768709687504228377870618467017421245963602918934335928034283236224548171932829808027853920011178869757882927576934132943552061314689989940657546873844794838130593866623295307798369775504491085389938620789678963710536091057232285126269723593659746971236178440276252776211737970423343740029829090632107341932989109479179929753305481167447902041863703700755595734595256725099042867768590064225482038195309172384461727699567909722365826684770440329957702427509388047175082079846598324511082732184924759731163129856774103471058312569806128545988386171604793780416726475291205233770397569508802255287669503252657219501622635089336638092296207428179192169431923023577319778284425743193578160433863110624670520787146123449789382121761588404127897813944631136433037336646303644873996585494945163403463017757191926292381834686100351725621239013645154921905328033334240007375921191086211763216332085661019274221640627696925632128658972251366063602604493082346466002730997148898676537297590653144609952685860655737398562134138331336719098993036317237149752596106502019217376810904026176992746021989666891057814576915794767801954999376616851085894534142364578724853496713889135968684849040408492511458100787316412612825577506679524608752405362758679727165853280063289651648245354521815114039032899214678713670160828062132815801789931818126250454031156331704954981791126248897233282124066228757935752741081149828748308617001962486464088479236551551953248988142318218133739556769210141859046979917502584237140767196445269301979385910285037069713004802775205436761050957662481617941745363767544378927540763389690703950526947001274074872373272026550772351308763212071561672680978603593106137294657251707646203324672778851034296186202452421156596082494925283576131230580741453061911608424815077213043273544330227638172803780252526686619625757222040641285886693108059654765888455269059578912878721074553195060947200848981098439853361434205068193219891253773466687926199265107536685974166815278964586546895084640301887587571490915556109162379448902715372651575193722480823468987248463188361636122772984447128537799251844375793529247
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 5 of the certificate chain of a 3,051-digit prime (309 intermediate primes).

Certified number3,051-digit prime
Certificatedownload
Certificate chainshow step 5 of 309

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009122012629 --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":1100000009122012629},"decimal":true,"detail":2}}'