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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 #1100000009057485559 2,174 digits created 2026-08-08

Value

31174321347942971124158306918941953581998113133258569309545771797690425967202236057731615945994289075842705869093611276236392938966477671554177766300288488669089586504763887997845496694501600329656252297712330880373442525947430402315669210642532592399138252723933589212714474235784021537269692695049512979139042795808894960104643301026078737326217664229879056606349133806545889457194437534025728041571613608196854881030985954944653026411622002853983393633892257923347996046664692709750557317775092849888382532684390082647373093027581753467386428849058223632963446554921795764758244554727820118919082475544506504894231381201813617500014158361563215782895827248452512889386418653250618914073247330203464718483093254731022097167876838754209658003816901875907147831383024991745830862467722308264375351723427424400868957997075013635332268789936598045352061481176988741505109188065293929814153841758066758250355115597361614831950693311441887491881870337375575340583392823281197398615836668907432844591212231088022843137669399019403935228705266438342584523815538192474474020694129482633354088851727624609825934138358919397859075242584856159855525804714648169374029769239143158681558904724210429031713109845305370915851063781348412806801132119653367283210575907124991468234517064539795808157826329069051135972645732773558643054219254787601905760822818037459067283699421419662217114445105515799012539279480113023367098948332000111680493874511899207374629594033902462091304129037120617455151463980708359330054165153572217727818536910742416106703222096107506896136129521729571177798982737688428025098102204618738971318117887615087879814024343068353803856599147330694701033325308665619539658525060418703822447376619534245150090129144605594882381236169617256554132207402009697278974448989118617457912841855599633044943208546885601983635351378416828944932372298288421986628240772865021584714262082037557242994152500436210512277705755059325081858609919848642564927918611510236291894486705433714639964305238716546504593356091583870811661734437847084683415220953435171716552602080127569152363705875842502079062593077066230494803697867560281160133738289766772089469939976830644796648195173609
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 15 of the certificate chain of a 2,354-digit prime (176 intermediate primes).

Certified number2,354-digit prime
Certificatedownload
Certificate chainshow step 15 of 176

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009057485559 --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":1100000009057485559},"decimal":true,"detail":2}}'