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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 #1100000009084003266 1,639 digits created 2026-08-14

Value

3184548741296715300824501266598502902550088777492903735269992613156178709991693782851829387400771468525037211882690876072115396341763000377819650785917004646764491364435325557884312956340874173036148290610707822426943125792500223441187220421332351247183121031206158508372654932409520161693725886562759233817452156926271912992907328021507415721791235768340604614010312508292012809223424749349848347544004702574571467321296679202031868463532259764366500595102608678194745518109104977261335570135264754939778373655247184269691948953112370250399719817757947204508838554790256187903633969507631880604181702542243537746272835176011252488500253484885136096585971186842317296524924175668204182755157034716100154090987426655225864871823557982527763867128484487056090578164976531111495087943745950058951992912221283169834931775535294357227146664190790657244646619863787381604688556205282359906406550987805937368659079097733120287830619567148081609441780399843840946247322127606958080103562594533614543989958588089800077008355664114317113067354692969537869176117364986066603866089756764690637568264606530290603507682777783290224677063710695516810604028734213518586440960434238577932902135626338795955116539077393688543384938193096587343673521596140111800199089124035664626581582644919877019321781843156338720207767961935972902188626381230691760444384693904238143515026575714710217959146748474882787647820772837749538898785171506223441977807638638223425291302035452179623135205622260663440504222050060354136277997655297338626226171101633864182692416019477352606931880215467864151576345620546355499862115024275800827671323385428442508471653471629439843
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 24 of the certificate chain of a 1,939-digit prime (150 intermediate primes).

Certified number1,939-digit prime
Certificatedownload
Certificate chainshow step 24 of 150

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009084003266 --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":1100000009084003266},"decimal":true,"detail":2}}'