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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 #1100000009084009038 1,694 digits created 2026-08-14

Value

65746638159287586812081877019663784834579143832636500168496264263554876017426453669130718349290521628233482265878342358858996471153170709091305307046072719900760208899258869645470432649815070995849042171136919560266079583120543191250093928282597750421221736184362124169526665184879374551462716615434170403909120765725915479333044168046679797220585577706225122984221462238222814043784007696735923298601661320899862786358577563363594632616964044006369511536086599606155216002286335394297949677784173022610857899648864695892126599233433200192557151700960766267349403380548281551754484361362868729702167871157612716410056264848300817189292851906860311807195577401877159204777948671198471751503108599806874879294246472835123503714029630349851630615735759234529351424937433068204926929856404758505901925987732676169811234084187583335336214207527526870705209223638814945111262920116137168621751658835924559262338629268309602457771839777445365000502199365529103554838457258488987742674128319700115900343017433506939130410748038888827391553001100725716162688366971216232350556757309387085575150324430878476204896692928932039135238070205902343263751540117840947345229644649287886862283295988418903610465115037898635574997397141245169214609150339895180570454746451029891998818028164654417765670852922220961331548187596465227949383606633894161133834773207708823070828119562453482849498107760347973550642503591868091465207347744774490433915997176725810230528330255701832246425279639060073610057676240529753920555447623144740846430805636856055387260316882257584770811130203318513295284875285862609929222964324871867298782759772067200066938744360873629466891890151052936865726919144851674651868159057644500159
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 20 of the certificate chain of a 1,942-digit prime (146 intermediate primes).

Certified number1,942-digit prime
Certificatedownload
Certificate chainshow step 20 of 146

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009084009038 --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":1100000009084009038},"decimal":true,"detail":2}}'