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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 #1100000009017777037 2,245 digits created 2026-07-29

Value

3759830214685829148205972250467942889880770445303670112814759401424609536489571142933704105682498642655912855529656016912013845317079221804963253087605573092207380306081686512498269862560755967147324482994847334712769807388070132882860509491905520575565302057075283600207134266479845235010647884043000321905274917750008575683502286288552022789756633422218657361012415576160957724652527645526247060458645251639608239509886272777134683722756914501689507374600006257079292242048948476754609637326569664631565275387292201230617335019849557568353870101242737157192511045408550518505558197635647852663315555634163337514857107687143404830229313208631923599385588326465125102541714716295702795857439724791298797689849108959658032559256377906046665209969726367236984886098523590775842738417595437882445318473707565575233767634736339280063756813421198621503942562485096384543353781484883990822655942669344538667954466925269861580816155273179452802722035740639183827057248870586095170216016499180184967612490115360308124772667733182205637793801038256949394715287865985636380490386283797370682962784556072194960518289504546860665652361857002807586630806879110225168273207138133251498660616314125099870060868903518987499205108486690704647639590424563023236378685679003010698413975208344713934361557926205334423048920520640723339587203404510330307009390309627969374763555030648308061933982137652496288866889517468387818619575534882916999947642938754558203687090138181123883914281586545775117342729249156690156633305769635216262213833539210058675050587846136494157010623479875653899057098248845955326344161815433118967593764972023348435672627499727356485833984357502704607141217511371301008597760615233016340328958645768865774222505565412453110462760835541968814620252629542620712761841668885825922052394620324356317279054969745492390663762065585730399959072126371595223411023304047305100457610293234377868700895039916378843164680616339445339282507954293103466978506956014355758140333908928217473722435413538440656512888678299416787311871233833439204981542680158046642018016597588437885012744773859886042759232709250705863646536167775897733095156610682759733656015531695717408603977066676189557164089426282079244666698863622463426177255555066898227037109686183
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 38 of the certificate chain of a 2,710-digit prime (203 intermediate primes).

Certified number2,710-digit prime
Certificatedownload
Certificate chainshow step 38 of 203

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009017777037 --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":1100000009017777037},"decimal":true,"detail":2}}'