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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 #1100000008678589421 1,999 digits created 2026-03-11

Value

5107224260032632257967438608116494159674423585360202076896591366943673959765265521325615630902662772224249509804585501067284605940467687862448492731693736826821989931691413855273442961596794614807404387709216066314361932449143475463860576537668503692779322428250462764970149670010793144779071005383401347663440367017735741676525103867878656201842288018280101975539301099974877351013738861144786923142481816666269256990728273557149922890082189614484261227380644735269828592778403940725045194093429691350206680551876183017861283363221343537100527997477467639996528877601392806172916522222622861639420640869407533095916794535298819926827101321455387371512144507856772839508786303571024878051664543716048317335762557478782019895662156345244306474805692629010685759341595560238789860071657975688099491477874611204114047873921242157164381360385969901343651471992408206673806014481651890128087742579105736797429957137875078407120297290792840555151504306695174390578975721377151987819854946968436416793346032811371651929014000359385409460666250560874648797248470890019507936972551797830015925226972779708390554314976872865601433326801226953633840954787624489642099393566647002955331071734959358976279490198307239501557660643757114998373156333715427319477731374575021277665074389279792842432653153872001511888977870190964126433719136639099914234551986960583465152357460754078213135868523103802706060859946940369281391521367740434669388445251186210498085835768617935250944590794329979002326252928955986973771097562234916486162353783836056290371430580167283670265743997034579129617808174348220621938671567587393097980269322476128006671233588169048936247435123265796858738104250672976889075904703861321290766798219901335168334816348535651290548897568072670435412633108866710001491302108924149212827327331730433525770440990431585043476972244426056714226590448802728893254809162701508478596606538047320225481918210737508794179226368813597573733731817373954180972824449193583228234936373097581448061275999843688659
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 35 of the certificate chain of a 2,464-digit prime (171 intermediate primes).

Certified number2,464-digit prime
Certificatedownload
Certificate chainshow step 35 of 171

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008678589421 --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":1100000008678589421},"decimal":true,"detail":2}}'