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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 #1100000004825892195 2,451 digits created 2023-10-24

Value

145622325533861961282659992947195617420280234818283503059657797071721319447677347176337533791624393128470273989432792703732880998596007514009482752266347744383488208555258854989261627162728190401656238417822438047906375152940816665972409112521456205341383624807609147886546061819026117070618321002491287298039133784365011424966993555816881664338604187036316139203489475118645306390942701003259803565931382881306500502681083236102420564570714517921338562704113533684101759956613077540405135407504690374877974088633572447483878218622567961715427133602499789189994498454307203159868801795902983571302726979080975547267866020426097867546355617297751400129032310105651877884663972844715597965441802549077777905229003699321021396594744174480479436955010310948240559945892058098823216402710382189808755953583346445866378419559253590664065034801107452890751210248131497813282499281903668184990053984145956335378432941004497140484764408630168728242643708392479301775291416346931241079967893762645952805278413281816333105516795311654632469734777904539120329003230858001309571177227088587702076837733721406425683862625353443927542864083841982531898831331296291679622083062750005595167796028804466165664370725832313875912404127993077240778077181324227054641371889921252767874966286923270537704717499101847929740535985854048513083677106800638310826707954041387260535940880449413759526402857497092063760538946679767439417553485721134358929691707037466513642603440064993467626836379371917280324787484183848378883190814687826955148266277223090378831935970052421697569227756985696802957833700097901235873306907907526321172037136921091212080728109078084038315204681602982303917554418180106732785177005624477738898667581020125896762452875094526172793563204668646040772973326917851087645384738624163815004054861743908566787373146804679866935958344667390953315442017592533983077734604657061392884375058786437277011907862315191579688106420583484615605873841556961444711859114560742665406848713098769369889591435966196475594353108634528952098543997204539864478355975518383807203693012219045499421831182039357238111014403990111235140350803214340142784846554799771361869114016336510333898858655092419209592863364455530073540525773485712455550491505459285258562170788681531287077364033855729228179619687831651905791223320567600794408380178863561867684956807323171850947705872731912978877506175314198887108476889722253898587653522653648540650362572983201694679363688617168360603
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 171 of the certificate chain of a 4,289-digit prime (441 intermediate primes).

Certified number4,289-digit prime
Certificatedownload
Certificate chainshow step 171 of 441

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004825892195 --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":1100000004825892195},"decimal":true,"detail":2}}'