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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 #1100000009135231939 2,118 digits created 2026-09-04

Value

135173327738065201139448248321577827100198146103239248856991375794750182695920936783715542729981202100673987399051035874857610574989581297571636819262720378480735379008819373333215734381532303460982144252372344519678338702998992476115612952537023610546596632437180653887903580021548020450257465291235161011155017393221820027087168033627173206647877213232858396284842892370279272292956007921109775171288670079884634610692099439738700550708384821129011222240052882499983557072638285765961085288642812686522746253775131593686398736343072690706556345184745913829223414141870944770229363589197646192533132356853915340241185837168760086516524113694485008923982670299901660059856925295041995214360344028772207860549570592868485026852059047363452602919777223043763743716666699791016122851805192974288927731772785878428984429356103971435940405799414581941747222175944539235415599503993036427593010208407977147089462797094931572044516081698242292114793983526015091409592160152851838752595762417400944204074724853211661350395072314450213288567213900519761746234188127657925364108806540834950851468722815978028764234884162937828505036907437022570360210777472322757959291780148044543199916871312944887710902101241172548983102988409917460783274905114459956372085023808515286276716556942970601250983107234853552579391808037987528581166086777467785171339032532886391437087140267344631634708647558743828726374114025882632455684078990142872009456528442084952131270143491850080483318053811489620211801784980197952604081467849300081875212470647294512697377067851298460399208040635354068013346953475305594514517326818905407196078337438293564820861219776888464161000265901637767813896171922930957140978862811152375845264590588271712154269952390249675479479357679404421106451800267126561219865406250040571492620986314646042070320171703160227441284808365601903586030745806384010131194276149912444203091948246218817943739171197197622250901085512951267958213864776453984260832417808310721679021022824612022357276905301442206449890352385990754256816555424134252113769966084044550350827100926022730524130973577512743862404366905398019591665149193
Is factor of

Primality

Certificate chain stepproven prime

Proven as step 80 of the certificate chain of a 3,187-digit prime (230 intermediate primes).

Certified number3,187-digit prime
Certificatedownload
Certificate chainshow step 80 of 230

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009135231939 --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":1100000009135231939},"decimal":true,"detail":2}}'