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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 #1100000004833042334 3,364 digits created 2023-10-24

Value

3177462828957353464011637037350817261612075236258883365535155530709027385106746455986761347263133564114846515815049155327409454301701553091487230279513146967575147542930799640073673989219025087071174294792937699391899263909211686389657067755646328123178697229542237221230464960905973333654522248356272601821143956793797712812864193850107964731680888111928548794305117115466393503371210499184773425139430183138360612777437217828618403561124058490985317260140301093087088428148107312530308913963705477230645521391682892878219626342979146080477731943995371105463333004218887462797331204832614197986021792426114545820994742601992433229209362333753203862168781815174811500470055964113804219051221263815843853689658364447957035490068040900906307677788561242415873061311212978901825402583231512318884465221219652440793818194190909757310262838169950224013448048353990137604607016346835593725377028337143696542184123125212765672729642670609855353961377999963722329149093678190434754396300807623467188701557964322176048713112794945954620864101109813703228962169109501920161768300432051127929230338955021696675059323296149012313681184556633216759368661244234872480255810576160962546647373014088512052858220104668747601991716667455590345897475929037905585102762357910943108779820201839021251095015507645431439493269140477380360399767506824388090560923115429010200758518459231450467458296460732474422150961720282652732353743793709807660618178612782737180348248027907441913506501950384557942804269224166451340495267758090960832813806611241835480290570767484955904541137596734008492114656176157037704464758263667763092880741807384047653701362316919058007067428351973139542653416932685357747920218032119285469592728448926194171426476051189666629597742416293041898059493697740029075057311988806083184949579535149092972749099564239447419215223519853500904458109832243876731586785606658027696689628732647536412928148488694288705000491229579062406490665085720408440302322283030302597723484267036625707564528845861194912987675449026657615550615882824046085693310819698476500426953876753444309711590747905367288892585074065919467395090668747376881629601828992499216391246888232181500076147353814306453522072033834513876933912040773257587623642588410660916560257641104157838274362499916736193645937463342882924484431193282262523622811220071021223866146575640211170835024636630817977596988585988486102505381665706433277255620210288166262769008736762010286293112487708050110828594895222384540163002912025236757048300231762626852843707479648787300173147824816080822785616019734062920042602977561838437844006939727244445312253246144161374978868743756504628450999151168416423693070682844343594961333762638790701778766493045406920637548476089308752982957770195671425280732600284381419635693285290930726292169879142428633904455916821226112506913141350151859644563514700798594221622075260690166998966169502667369645944837042514982065991058544451957315277620953533083654362069621986798081251704661085274111976933179958397867227192565905504023501058690925804339344643020368522163170347153881422349117999677373376659141972536900874842712681439320104175462160269718576936472035578027720803301528492743617705155848792195831117500537235536721149799790186213169498652158550250428395418162938647815719395038343111674352341359547038277245961526260489328121823847813816190536716808266142546859980220597187
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 52 of the certificate chain of a 3,832-digit prime (473 intermediate primes).

Certified number3,832-digit prime
Certificatedownload
Certificate chainshow step 52 of 473

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004833042334 --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":1100000004833042334},"decimal":true,"detail":2}}'