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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 #1100000009036772054 2,225 digits created 2026-08-02

Value

17131757149336023676425975129010309681455972724758975670335998631636312417722061878786047531778896806136361656754952932147219256844820123999829952494528974079057189579187985312424825763992396129695828978639458570217450284251721197327010613097880474727070880714051855749632918571742342114020200462127614820467918835597225446287167954318686984180286765239718513991003322439288498334499254368524607785973491820097078600928839524211926318258994666837367964874835348101046521215104403698707688183711786211305131978856674243916727233680417954503958539144467521992929114348860220021678424435500374006392297665127453809447030643833222636287993204406783270165916338127051850564514639764178116163714323586346300900652345326433964535384979723187369984395674150618833359541495894238210372089276143983675287854626763342731397056748658209643714577870426409437430181867482034957275507207832343930865202277603516596695295591283376981699778203639369594487050620410760309432293035568536481280698230833435561548708001513093788207317287490571802241589985257273378298521324247403997168148009724046625284698026255572654681674757386217471088064307048015333309375478762351324037491761514636405155041187677109838010191488340169702255972444937165070992951730833071951495106315962658078037838362751301552583374479739243920945032796262044677581848390934129910421527222242877733037252456701434096277629515077804853835597327121451811821395585214926024518294572693479567363663867872305636995197101611384872771150710150784121173860830161443352587629419031701930553434943236929732106793036161494408712904740250466968098371357132977285970768465102847571344091637032303389250051153038857482837335563065819908010324180585802910868711150262638775792678316840463539024492691226305071593671517327825410268940436616884032932858566619732678084406776982551801722424336259172427574601754977933512151054446544415515597306153115647792819614589063939249792385649089360948046173824844516765333554144036730440290759736053914545606856290720920306308802143698726312435052391531555919382629078431426746322483299993378925392650310809089461908476763847168404215300738731800564030624386833075009467729477350747179332860811104215985112122402881678354765240724024500153653768717907
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 43 of the certificate chain of a 2,796-digit prime (201 intermediate primes).

Certified number2,796-digit prime
Certificatedownload
Certificate chainshow step 43 of 201

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009036772054 --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":1100000009036772054},"decimal":true,"detail":2}}'