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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 #1100000008678588957 1,415 digits created 2026-03-11

Value

40365959996473282009165011924312650840275866960689242229919937898086121862279250792650523706243153555850508109875571410620434394251062431476155005599652611256501739890410083076222949159104562889108158783379352255121058515980015430071276715850228080565434794522567072668252937198724541725008552600500345404478250232833271821773357220931301037113362653207428087422309381620624329087286105181798196519491046599708089080393109222643334287169164855911389527117661350904756614939381396691527994019854301657912804915316375042216703527018158856214866811467672197555683249557320143173258382474150593623686150243613502981384456433495099467868533016794703647701735858035345754668475955630131465766161114679450915401795329219422698364038865998195203558515257517115842583855317155118753847185239929059057035896333987368002908123641302625674785117518893896359061582195843672954108816607964555789079691786101080558892262651458143303287631390834836016249734796140125857800681692592397326392153917454134903913177966590268622986808857036325250634451335391840971839398765769391040395119487949261468875303839532059885530945612585078105671322544803915735906885632283015255439336851826892269295544233158628868002653099365632346188714415277468790890271285839824840309801556579596279343211266775207226098798045033597329141637282478386320387302854510263082613939568715034345868528337288652482756339740896023478822795360281146128052085612327
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 45 of the certificate chain of a 2,096-digit prime (140 intermediate primes).

Certified number2,096-digit prime
Certificatedownload
Certificate chainshow step 45 of 140

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008678588957 --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":1100000008678588957},"decimal":true,"detail":2}}'