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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 #1100000009072282229 2,055 digits created 2026-08-11

Value

122635043871766565010426065219515058683410848058468060781639028978577362645342227344944057559792528507677820632492783170891789105498681556103394964056642494886646796496148460435353365859118254067378450277971420482589269379079869199947090881681792852424888998321064532421094026806227437077136384446962733223003346700320245100209755800243467797602805542086476963465457138947862979852839819454831739809161162666208183314996658924010006481789968020634653419535373097261906867060696059038440820739953866913774413359842008783028086469499630872808108580101305200733313054663866831420469616430584602905776164933313974631982045356174834683449780289408114304775359470491300102454990738058065337313883738638993259671580860618907908740577227828930268333567256705454722379878620842857668328171661138797437010871523925630303545556615517777013931146319729541273141709485198044128351371387313170441935218563787153964174881369167695929029058747852509431770911402543103915688081181811709821180331872813809044635019557494091385936710333834362780472335268929275735914436085149085878528842646100190812588205111284164765634824840702393971194647680988194344205981428583764463145139881303426176784241439928880860628362846799519836277005447701844943009588657037510024395915486147064951026267345114298756880775773411921620154934255855628915753143017514009073880686114167400598599791781615412263836919296643285209321275667616242751414959290652516532731299015558713665174121626565743098483022888997737947081819905801456238300718105877148741208550641222193364716615326327575362309296830538351451685420931953126864492617162171653388629208391720437362644014720050127817620719438581458380021797917565850547120555252049582644264553321161595585070579727208128349783252184011807461191462899193393908888379276713072246288709618507173258680099170531215960677106579484705039610574888981000519548034839252559426008459991333555615218895527816757681516768191467549096358370201182424078914889206675368643424831915963905929843217965962161247328273132846037806980318442519552674146690052700175591671
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 7 of the certificate chain of a 2,113-digit prime (172 intermediate primes).

Certified number2,113-digit prime
Certificatedownload
Certificate chainshow step 7 of 172

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009072282229 --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":1100000009072282229},"decimal":true,"detail":2}}'