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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 #1100000009122012989 2,060 digits created 2026-08-30

Value

81697361165050213178698723009482365990501558124541173151029670248048003684347751376996558606957766132624099095392448421957399516447088150534377167410309733477715848584057731089860777436111717472177755567105795303464757772821290255386605943672784139793371115712868972840124656710390559130382737987986059738566713255993919332305000893941520979236026989684069233118062154677863302651996910895970796728215771723540833919587776047993848319393556752881094807345504951616672465939167723350683430310633896725307352571182886085522441707358519580563275586488526746755148448085733068431224322225548494858576808386561676992397438506920095660497233348836339614040955343605258113297729465110997536280668184360216539516373937781271549251262861398613751271924557546953042964155421578248969356944477493930434085995035114020670628785599241165539999281796969881045652522811071730515235045822353240267683326870258340985867221757431035720051545846719093495819901208389468676783047719607835561064144833100834114234794987463263280620518759614564625348516115785034690270698441773587060778895295176349214966762845373479053697834553051607683018662344876915967679304746089077388517233407382881658693800232813479955113901762017139857756588241558374505026256303627341949361015463653065186171436150614866254440651870215467264089964110688853119082322692519626667626877305893847693961855193649993814942877831139759632620697755669307306519860294254111649416923246425915205560258528158447007590306295861397469138393822039976884038973159369277564763367719880604012584587568790470850642533895123433197324427295690716288562719619853832643097692262546326591328315656693421753418804229582765904248093255217020003579864365952658111012805217143497274145829971454246927459396953185660441388782038952712053539736107326045651256634140128001867858421860542489833148381378194644266712465829690768286609007856944119929390939048830189851738811974858020276053089248705061272727655706020186115453155103923571916774190311374346272649500189099683095907046397650009948866257650664417652031516388753437380915735933
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 94 of the certificate chain of a 3,051-digit prime (309 intermediate primes).

Certified number3,051-digit prime
Certificatedownload
Certificate chainshow step 94 of 309

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009122012989 --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":1100000009122012989},"decimal":true,"detail":2}}'