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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 #1100000004823772646 3,692 digits created 2023-10-24

Value

22446435062507248443504663564787474053272705215119435922605390340102067478767599532086549784771495073594940752844198413508986611854103255372119300474764199854530834302103687249542916482117723590870988803131872376722257048602484559172464830912478038191188748965028239562068974271331377273319517018634417654437335429399193344572435470358439752854731929343731388872754844143734592186860682790718658115105642284371427292573465277641027982738036710905496894195466572527937815831363083875570263978678901605991700084706258928625409012500848876961808574662398490962235610763505899271325731258940482286445259857238242178103042964513036479072456942265189240756363665126829019162361443733317594625263565069508335939869268958721941789922812148844677363700438437555681153780130467644437120974929351940166213043090361458959213034733865245386147746305259152295550826401733471792571920343922799433960215622330433589678740262603211664858938984712595009480602281953486197157229634352487748626680056533801310593558072992504927878924882729248517074451463332541896806450593528458513721878629026156645665601438554718078272346162985423806167125332576836484823878527178820048508141679669474765751575244552490795800121672998664339419103375279465152668444534820515431040463839399159778405992970638017057631066822753828294476604965133185918407042481916351135246432366540901373076768934490176704168453753122262744382504194417921695009931428118059531270312255076328006513605787219124109239027453269575020332698070416675833349861517105055776702179022918195723505851473189744793264041303448792438890321428035039249733507411066669097152034870860994850338950457834253694789483041407945776518846696114836170378172858768884879478135280646139891569564759850751207086329865023767825057436785324439087322863220523405010013037642770467048210437708819968875056017026849300939220642616887085424139985832320819350023512334463676542848157937943345509727568235983117796286693599997541905160521971870602083372981011559753506717898075999245883529273640729194197872092461402949315326938439409615821303470774916746088664043108632851198689545526069164724070996303816411037209905045738315297580346556366201626690379968011601247433570827550242564559452918636697486972604976518928847186931237561103879922916156719936941282968851601684323505657858473019556234995974478541306619271539908565666039080760483753344430764019563210608111132342121465535481453002595363110205006039201686563402986973925219594726711534133117265528857422515215775113283114718929908310431418367576097196246136587930758083812909550007855303112466065421169612512301269538713266306927155157725617745117589400391332719392492017191061169810164690131646774144666309400107462148258475506834400369691039717575146606695096266724914812309355623106964283141345914069125970003187995817949095667841906350326076488004875075905788990694490288558339578273225495269217827911498738625340612808106827649963515875874631986429640511044980628014455432638135836256976148836885661717521805469804978259408537293356654968381520105283884627329707792073499910298966137031288330461302265510120477403046849000198974071674978532287708246346689527121591650475819891836365167292479499477791038342263318095709740261070286678548465628050487758661745520113186155923654925767908986239933345444030584925061129748831347517899232562912653658847415875552038655411450579273659285675418407604896486874619345496191873737785038473832118573451283036202934293421301492920939555782264113425541741499129992728059619745444211250016506940263456694869966594697850586622030523747085277153211354971213617653145780308228132153212696806047216775544960799381343153521930564793494329626080183995780016760218780060688080392017898381
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 79 of the certificate chain of a 4,505-digit prime (457 intermediate primes).

Certified number4,505-digit prime
Certificatedownload
Certificate chainshow step 79 of 457

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004823772646 --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":1100000004823772646},"decimal":true,"detail":2}}'