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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 #1100000009057950768 1,662 digits created 2026-08-08

Value

133752458361835987672566109369960194209895611693573064378291777687304503896999209385771872979145898771188685892143529569960893519531602219671641930083229286891212867331042898540333963855263106014133179600121590020496518328394235094486023494695628774622245597399541331563664192755471602774832294782423569545077816022738612335363497844028384473012852671994897468400328055303870348308160491975550677203903723092231427238384465368402852151314273291938318676963221255924136731403135832205048348185129771610731855844839156430511767735445474452551552582008646515194890067365330186717098569598045383905614550153273472627786971799839620073402679599086283656840439514154486080406078129413529138023668950467425003864175966446630880906679470818195013540373219825152465021862950198105228406807889189158471385538214708920974053592770811757334884612695027447208325228889607974346620638979382514419350146024066567350882434262987776534118840781594299862606061353788399448317237318891304588153945984903921740252134441697771668112496524877680740347053075216355250878983578479043174833251993209804530822882974003543327455169739099940754183055111451252492856830658403745821040572708760144559572540904189713387421529627620175240209798866285631446291567559755525583904280688942722171059837472877555522254168470614847850157052542444186659392343526989280124047779027422450609376701747223494433870526472956942314949981399494933526251388027918989988147638078618123345731152158212108541730006407363728724596446789700849493484439939516424177849006746756551752123140947886170929601886030339190011356271045578241188490080967152819313736663806784471697662027675054342195852548252260534334882923
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 49 of the certificate chain of a 2,254-digit prime (178 intermediate primes).

Certified number2,254-digit prime
Certificatedownload
Certificate chainshow step 49 of 178

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009057950768 --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":1100000009057950768},"decimal":true,"detail":2}}'