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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 #1100000009058378241 2,118 digits created 2026-08-09

Value

509491745816565577405135152874744000089529843492731829561606432545865309008831312644247430128333276224572017403014843346231236836491587179702602317505937066535304016674866865273511936065555515437398549406019618511234898646300788214165642833205754192760614480879601678269666816850468067497603578756028678442333182333137358557592164047277886904994836908536439099617882839345298750448598002346493742872801999373572804045228350524819279959584039437459469950880820228669014256930549142051814187022809702237642729470325417141921219175762593565972305740113737710099395352034878083782310262969825468716011580973150055509976949401496102414913004129790879673646506411401192355185772488289155002522914121965382440404229203928699200109316005818265655784791839435501162940701550927993008094119692754356989923356412050752666209759130897109306468162993992731891767041531673965693964634445451749673618574920096292212113295850301140174484956004248091628344237150840565607733139112963158963198813845611073858092186621387899621231239861221021156882395195642843246247622462428752494127984141879986839642208155970767231695454622645624201300602962452014703556794846028510580612095412675948451862180121837679877768149630756740369652856441023841054909684472825934202015163453914208701520325473471701870445746785649324256236610302079897129253140541666759186938047542395483813266778521608628287035718522879685836229206528986255142470489827144176111122508172528820458999010272333589754787091117944982879399282540864656715736484890988550092844842565307866708583771511789527665519760852306516171522604089707285081244617291255222314640804798174194594021950074170314603149494208279755936748505868616503438905810736721422859218450284402888832386546262766214758922537607048424317932537688110404407268222666786988272497652633419749965706975870796044689378528529242706808386634288984114244132230152640262303581612891269620422298185335585683302577531641933742820506688797955573984162892456544944180511012071930828327401437436251500000400631949899389483623393489688821126232092394659554203985671226124350081090813592427875174129599669096020734403317232641
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 37 of the certificate chain of a 2,549-digit prime (189 intermediate primes).

Certified number2,549-digit prime
Certificatedownload
Certificate chainshow step 37 of 189

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009058378241 --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":1100000009058378241},"decimal":true,"detail":2}}'