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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 #1100000009065128993 1,721 digits created 2026-08-09

Value

40332249879389685182502218693782965174933025571190720654489350390246923752954535827546805367462079759182835493291552593575675729087540616491355086904728264286005878277474497976790602334573821299836515811754627300457973684815697215074940317450032281351225605981416335981662669952054540588476416363190446995794234837159346662580027181047590380054065688759448511299534845519468730677500746893892932682754387300676464240711180676737498835138464921613684838432997427545113523128892785741679562451044062011732742872060139137296954511968699214764856236453401393259837122646882658351051892363108599568541784309949669119474333510061903839236435507424392888781661640001170558892535112770095013057785928650167619709030980453722783539775567415012355472490055809833086960634660351262560214088867439237834193960120930203823064724051208715868268374946235841242507314892239124252203568670967446424173071992417101054302332226793166056996744776984883282270781941657237995273398133999447298273384766969156761539075999664288171439492061066783340174110631022340553274410021091024063730783428771502064358571146689620105956855315349204698981035566351052109743950498638337312845667710391071237529476926217496713489465177128716345436150581697424737471811949805882089152107215441341711118451139171165665707902725280190381805788301920129370872793097755204450293951078891493430734066556879397225212517817929165598774216046694534823298797782840337877081100300379127790450468756381804917931169596406270147211708011806245882637460796789970310340478068733921305383295168830866440120450846743366898524449284637529778877490544723822913120254666508190056961615593153524860875094800250045935288567161550097137874820805668363969465365219396068185805310366791
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 61 of the certificate chain of a 2,485-digit prime (189 intermediate primes).

Certified number2,485-digit prime
Certificatedownload
Certificate chainshow step 61 of 189

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009065128993 --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":1100000009065128993},"decimal":true,"detail":2}}'