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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 #1100000009078966327 1,907 digits created 2026-08-12

Value

41564301960664825142662506169463679774494214894725756528025067980372148142466581550591062685556276387116695783016812321263792383966319596675474485963923430611310678886782919808199656070383579043943243486604437042331399895850704134584606859273672370314539194411714825401687468620817611765645618148636086795503960805535141145595519450466278728398985328369199867546360568225180735550227253806880951514338278826598124243309192769285998425408417423763525208067909982115696676551908653069044063796901215222319642992665486903799305221272262557829177758574382608981679331122439243328041700046385749607683040153873341937919740858973183353763879335191588826208960803942851107311703979240845480519614521489481120795604670810200161095880512151448445303886512063658095187586677290768234776204747528727786260750814925561362276724080161448585835738383230437462061454624592196026024370921612309672293214105231841634820107890845651577207737945327063723409028394556397669329530068357618636550812925690861117239362548602864628939930349320689531210668526039110514747543496385736825924422575021014337220104512784955368814508833486509289791455684517492192860179985523450681944326000554873015956603541780876476089820487730952261755807243163558357134082258963094615503948885259645051788164824470156013044025714207546460282605747034834924470217702743278689763595359996230131070866133456154901776712817097472969567912320049018747206412626606079800219813039874852529984304014978163563674503305127809344996428200014781415959716295940294117677283057688739189493750920244831682949656572432556453494749279127359117581561656155898966840618008160744640294740737899602809931374863478753913574741304696038869294865853875430445492878360342180648473731266582973235673203590691884963253275231512115216528443481253147809653527914580773965727489440944184355222737415101612918708511502961895248093546450437507511804674070120156864717319779880380827
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 10 of the certificate chain of a 2,038-digit prime (151 intermediate primes).

Certified number2,038-digit prime
Certificatedownload
Certificate chainshow step 10 of 151

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009078966327 --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":1100000009078966327},"decimal":true,"detail":2}}'