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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 #1100000009117856326 2,141 digits created 2026-08-28

Value

31813961014887850543594638752836460993317752426785179025008142933004356469763086516711858741212288326635799385767394577134920305903347858003491917051835403337569784923230981538440558814366510954177119159481819502649777749597603821981171291689983687496984748744468713150103818410445763958816421731844400577739990720376784633828641911256469577813955923035660785790990812286897245667500052164469840283725644431108784104278610666232899929662059937663045077374728364866440184068416227649636051118000857615061115448541323997971014718696758666488684588941066531203818395371636270234857551488418739851278533629873592141294173187283701644815734130577936625778677654707741595480365131779066641407973897886565738781589983521634097478984909869011749045599244800065223800717186404492718623778725377034492193213088270839419364003324185356673999770132837474565649072713840315474118204632586773780985336931968342384866680548718408554618071397856196411392141788260778211685261555910997061903861238319914993483401196999825928112923167607753875454869089105289741228957415028670037680186068978103317086491630898182104783082215273238792416222520515573868568152267071797995185792172371422036266241100750359312059968978098662427875069135744717777205751510525751348941200622894836170372814514460951494395715277264851604845433069768334026509535249845795284353221292039645655230791090533802872482118273816362494787111340275748450557970594113882453273405196750518830201776230473105438726885134599267534353684188659112394800137752576386017648344979044327393013008615437307257225885251732071586355166867799906129711058144336895691709128726863591688030723757511872404240594851248723158836119058503174632047809845430752507296451077406505459026853777505772934784664374734602765180133927027519150550538838243358824889913150975249832379770731386652141205303524322335751399519488016415839936480500964095128021653994854278841800680834379163248902084754989546949904473073257521848302023473217636640502639092591454134984018113434950069670691536922135359688014361032358608298218573478924114010109599028032035830095379918887989202779607728128694707713257186531332723611178232112877
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 94 of the certificate chain of a 3,049-digit prime (315 intermediate primes).

Certified number3,049-digit prime
Certificatedownload
Certificate chainshow step 94 of 315

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009117856326 --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":1100000009117856326},"decimal":true,"detail":2}}'