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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 #1100000005816067472 4,148 digits created 2024-01-27

Value

10932237955522340984073702665807221513744110526989809122290322490465107986790691946424584890362512803531674384231568243604206577897080991011390600490897327916585002595480695114127463953468912434397229615310098609168591378553554076265593563605607283089835580387637373192895108998077916422957893572943660398179425071909256807543749727593384495645408535872769415262478716574104742196021992743340417679277626154138699069385687047124680736619945398562026632230620425204712654043975135664067832541545340301251981801707475128197791149974438795724362229328324308312008460585408900795754725133396437491254666893000480200926353616911515175331224737688963107686441652217702086036395013326992422808829574178730918806849593608164543565795249987832113836169165616841250325946075405788919718036734666848130611455642859486338921847880301963163427224884622475102099979067786246632739050448165292243917435821897469732396269919972113133567615764416357637215569954227895029103580894538164372892801838114187892287086847471951814173228113231773704888542353740503094869914236946909550572137436466933649504754409707046744052260110923418224373314456470270617054770187820097353293926568472461486444275338008969481349023366031389783463589825770063296552051325724561489856786168143767905735196103425441155335470817095928829087243472611469919576741057325500141220328071279710075295156870681850758941011853319368861020195780016715064979000985343876384027896979488441142195540931767339139554074097356331908516756721647132912213466919884006953743082062959972058396235232934685965010216214868040125089830229526021627180772744673776505448753907804241897136026876036159214909254978058303462191348419403003349246803115134554374566803882803421384127342106175354227918059613598591028661283135058254776030724632481829690845322877999262598807814038960220641413128923674907670506473325764577859403331610203568953610008495921392652334494007822103363050312882402371677429634515260080394258895343201822618052845342874998052240926565033564974365914084439665664464763343558551200658152017147037859836089865007673330262427910908137205185208835772677494016619267558360313207118394781861361269660350589294910920898319020927817606803462783043109728067551064484434372195607301584681610581154950415588102801512745495997328093508398216080631324394029596131950058361943620677998728024970240143963746771120898745349148158887353788490963237679615403763197138563411276786158858289281880209385471999451511022795526178165168697502386096231142392866479885782580286798038705275589732636696913681172852048349756002179933692130143019819181682427425874997780195481461480769858172678143932945532072740853040404662567826607603843048226850217207368598439882707896764051801387876417701244195812045365857249814544367081966539358110829464491273586562977818771393262159779920793729455994820016868891325042443764858925952897168052683310365529420646382305195295691887695325740222502462764980201840977016693197021916800549780692748250656059550092607893139136390363114597893227918991138978123263311329207511916924367746368616405526158499546999174467072643609304648619839012613111659447535088221167036042066793438835446233218717331958222570189756658299386312662669941455864791914386385288009560776721905482687163158452772204489161824173895016283834223525390347511955951700939904783833293070306721410341960393668847960422659747518553940077183575793108453416829589421597120407693049558688326853209675956937999207052072515515136183521620138881291349206276752708073102932545699707105098775186063514497644369751605550223559061335505047995118860165266529028430547968994170545539335680701217372107501962658639930480994645858344262116990323266120752248047021357810660166517080801359087262256677943556948356115957075678120609267946360720020052999813998236131752460744959180666102368102434642418458490980260560311599940790541569616890582360560212266680029721968237308748934412623782034196868567446195938498061890560136151907023550462879861676927490440172405122031164410921697145902737573829418761866486400912788018363519933057171540597369958276479546650356363235517057279872233042972006682071324203738505610954578780084582720679171779
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 47 of the certificate chain of a 4,860-digit prime (294 intermediate primes).

Certified number4,860-digit prime
Certificatedownload
Certificate chainshow step 47 of 294

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000005816067472 --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":1100000005816067472},"decimal":true,"detail":2}}'