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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 #1100000009075638144 2,093 digits created 2026-08-11

Value

57323811915792721010411906547281011769265010855812018969060464512505562615739823057352157964222025321604267197134507642702904958250757646019489248090101659741360641012532662020099911833590329106702210641146271581412065960828660389064165186686929079084367138093380754477515072216769515416288112627721172587246637052037819952029727097729309476310040804571541064774830450510699411046616691429809439404415942961415946930883041705524831701170367060211727875867596032567673170218846347697731985381172194120940711231251302483724226013064662298782519059267485024587521424046736390515972001952207112090349375909635274669718216768735342815617223657608256099868923063340217552526150764820686189734966072814409930256093589359142101664338241567500086585821699365005927285218858860707855706682385673722931430970130813526978214538284906016874592938387944223161200173532919002383428286069759471648218113257846531094187708521495160642476006911530651001107559008342184675651236749968874510732392925640750428584997785431915804480918884543761492012547228302335002537256432508065398917526798486763692482335753694870722800179834978669948468729966948305758662835260849122371757214507609367130050692357805334183286808252973332752074322719856599291424530821031831766360124079920142568071886712170197265548797646337976927661859325416967137626782453475250076377685416164836281325807540903568809711106581250038889448099173416633763112906661072292805017333377914506255291380181070650262160498934465853271641740935877980821785389289986201821436596560252540325431395325959862936724850679336480686323153878046079769371315288919906071983536817151554192307178936457976055925442917948328254835705411785304200946144317498919924034510921697407824737847948221125450077052493964135938336056590434787271486885772704098105433491822810560170236050178841539152691044601997591389481490243078247890276131837437543585461102202566197875151072220763247109314537902869593913855784950000750830736627453043600629737678668419152009075978631423691154531866519465413217735424496384652867168256726622175041115487798233822055891338173777723220473981
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 65 of the certificate chain of a 2,941-digit prime (216 intermediate primes).

Certified number2,941-digit prime
Certificatedownload
Certificate chainshow step 65 of 216

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009075638144 --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":1100000009075638144},"decimal":true,"detail":2}}'