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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 #1100000009033140045 1,660 digits created 2026-08-01

Value

8307313207374210996414718573421852936010559243098406915306700062346538056370562689072877692703375609259414656781929680673231866005456459394055408920093002737937056423161111310419825928118524958558137908528376614444946074523317971484475990345730010518736012778311957393440419021594544889978342862512660658504207776227183206610147445723290868415298791555220479830982956447531050122532477761733906285697052757754659070616963717858437404981150250174563202216673052210577686263748227718830249991992384411137655505760240905068568928011631532657236766546979165529774878973517297238889849514756588391651395000613228062453410114794176646249564677920235322836337185557442987395612366962643946516645836925163888051430628536485825609020565079312247451064539884779279620398505161041021925907360238956028181983200842705025672475176195054596295121029980774842715177034933869638060053995408929414700382725099260614968746880096560859832367410661154712152651826541314938889445571352766405090423632088925962300918452536546317731403062087160357996710267734984306706113326450325055819838415758397951153293414776036091819576847417733781098882454333022897381026902414979765749777946617863903314503181457335483642898712366274514301075322641757367048586017062560382384433115103598763217267201884577642439040875585208063101444984100572089602809523988510070610613593856591281955595921096506821503435868324394856394852471309105051896207102310865048690557683250617754228538335363688694576878033568617074402238194601591718596119405734439906429467929617600852721612020643866155572526573128764528249837802292987435468926256244385416400744929190033467056665425752009444817431524981624265324169
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 86 of the certificate chain of a 2,783-digit prime (211 intermediate primes).

Certified number2,783-digit prime
Certificatedownload
Certificate chainshow step 86 of 211

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009033140045 --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":1100000009033140045},"decimal":true,"detail":2}}'