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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 #1100000004822811001 3,831 digits created 2023-10-24

Value

641245896581354937572222780359999349763232932434982727093608283982790084135157790005054758715070561638921371904257628149829426582258954757888055240945547937744829712648126897249434540598259544053017749529443047821127959971021284461502826668288971302496360083713484843515461641303056065036580197767354367983651313631716742272910671583007237277550819509479322393624397813837349503753518859169452201840641002568639808849868283557064908534075491361486834526419888674273735306299295296481483159339448792707461853227929666384927385000937178825733061981928039492339034562136775091469244055536696170912637193639591866474124200398304617950735092759358230833962836791723081563153507483304289849369173666018747380349522134363330899911263932819169956217433009076541184167387940197068976698097613282416346977684600930151964323402802380023145556162401003483741365945205741018114171587957883486682112812429049253389433372802273272416512051597627773520043194844342830593983800923432811573154105098958998425208884794218799079493817940583844482654783830469228689097002490713660934222967639587675714064031237773846703244679494233952000406027049877116478294506982213568782159469757645403664788061171385467233594040550751854391129553419933664704104915667473473458265830291563918591508501677858936849050736195012923596955084751298142237227857146657170357902661159468845286576963953750583654108366096321296548285544954856689947378090110443044180967133856005263635891807650092940090590184699349894067009270953555038169501806253582917964045198377125913340956275299993611661233825832413787756747872918193862090898235065524165312115349307016330857398787940857032172811923523400300113747643673548890009514501587643076472776416045293934519810327256095854210123472808381919895925302958051695471565855790484993939359782472690693513314481918564401891514203377062179979615043456198785443688512877642440791907100056703955272153416049070687766525984145630942627381625422302890229687669211867601911810101518383991221565050162760092318102243342928797106179236070908282538612912008494266860610629286464541515102008793198219441574200809626707649176788109696606046027623890494709172953419142640946954383957496251100167072046187380438636294281777115063178612386178219154575640845403664540273763797825251832742998721930277531509665383861592634373715734874203427288085244494256548544826354909504589659644998487534007294460150474095783783771260198529725321392428545292418739542898947259730262340607696984369317650706812302706800485715702773388708308022964487901246584803981914817868275229555541944246418932502017430127952686245031659906598253227200453311575851123898694863542367439113889135138088463615967134387927968662761464133588878854604447245568400194874410572611266193387814414245708921997349982331128755501172121019378945528786260400216004110183625444738778855553646362135046694784796531770709517993156279404335990769174547525447249224198229376704139393138239909916484124416632733915351601650621242176696532802168039767666923972867286837596889702664647665626696067242023617184567481359209721223609172335078878966179465828590657154773926863576256462396418931218410167881575665098206585191412396148067549174230750462528095099977475923257429864557301635170418498820887738014188699707098785553819019149747456242945729734664133531770032443029990087341350668406891249512558934031714901367854791502600188898777538934835408956029159536905499304005783567913437394300123351645468871026693818681943700569688992992246212895267496087015536647042921118491670083589372396053838659879386029630735312190598516285935895316800290495975590147378276235992212513835753166674182220234659628542635760664145134112986273044125235792434611699769854330006565203617318832161497513260563173943838279326815337124725870876482315951080227756981160666574414093909740465057094399108765418180127592421429
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 75 of the certificate chain of a 4,619-digit prime (486 intermediate primes).

Certified number4,619-digit prime
Certificatedownload
Certificate chainshow step 75 of 486

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004822811001 --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":1100000004822811001},"decimal":true,"detail":2}}'