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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 #1100000009033139056 2,510 digits created 2026-08-01

Value

25189946315416955317762097403092575517583691614194295122030406311490954959787610732253184746070844451485846171867086527274211356110906265331329785150127396796859630999067657449127260396467677342009012686633273668492876333373647913853966892358341885756745144697593270919294374492065704570268562918777300877521274722842654449144068304149081947032953617964866495384435885800920371393919143768725183957170577911155960135091549340957283320777065679658280703002744816602377985704834989773625842960941376663535427034948415910992459125774057279291628489486908577901346066648388136085058477489624178587166333571726513496689817558194043836817050617468120797447824685638710326663741103644370055874370869854669852894468288798370403597481729551135654540411255689354206477373607841633513010342822673978606391510405820586245154794110118038070708623642417439394370827762987207184566937454813067986798671165750289134828201056332903383267959706246999863362494155022845536270676283580658308642072252885985987206102155700926965181915135592039527484631360227042931307157132214438429122773988644593056955814614577528860181890662234949861382700100028957316957716168820247543034199486349208814534992314717372714481935374133938666680766637818323474465191024317633321646110497167440850673619241616426749247368853726838242696671077667178465537343295545951907573366556217664472912712346999101013576786184348792974262612291323345961101487204408254082825046325208284730614131818617616189759813568401997894418168916779897926059885546149926262544838464504931291549103409508755084127853477371061080440368045841382181543362709863567526744134298538006611304728113646292212985886750422427861125168105623435053403951559157546443545467640862421691212546308621611297499106339410661320105683192688408320721083647417856071621542740038710162766867522628845841907623406969338180493516908206348721923742663570192357930118991691583226374692976034936964455164488406481621519897458340377381073598393301774773266157409089065164535450191442499427531085625915221840534320197483591092551119070569315006118209819992124759565965761862760877263579536849889292004918906201947430407643375883058587123304007819208833440936296045812005405604981267116568274864493020728061596781174927929317332115474158831865077473269741778829444636213237160000428703587281860415126547396429607681704978773163725566691946292588068331113177388384660722309657321567475694591221213196103993637947914098099771330426154264286794285507679393469483067965785236648772851821428134954800195865259
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 21 of the certificate chain of a 2,783-digit prime (211 intermediate primes).

Certified number2,783-digit prime
Certificatedownload
Certificate chainshow step 21 of 211

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009033139056 --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":1100000009033139056},"decimal":true,"detail":2}}'