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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 #1100000004813325584 5,586 digits created 2023-10-24

Value

141155666222436903515289012214787638243345246026462603530709893202425257669618350853742751227957205440603571186529524404566575956090049748912979881465244735356985698998231850939097836223581979119557735376638497255576677539877192347296126624645734543780671945945446653800062162948827197999525222629616578361214914296712460070994481438600028996082919550257609310520279183822802869704636556265032701242327358590901047784322278113716922212827738756155239889190346455135162045059996204264374571079244715938860361122633999680776523938923463659028646329995412505189702638038284918406974000953275448565207582134884814735145157240839877616611839825387725788727643357535893523486294117119952279516405205970153779711257332873586955711282243635434872898470617771698801431277403560310959199411534912381870869028448067889921804698142552055620772085282587428101120801203857625589915899159355392536812476993713433618519725156163995079664730510219043951981941455611280625412029247097326620522961203307190912250603865720661118451170927449076003104804585969602188070476096074047850330316255389476109927363582243092206776710187593682174481833747176398142554178559585663437201849303197326699151885111228769070633656232202041118601736045225472341216271236064524554277735636939641915356937974224951302886165156683019465670483113057032220407434821571671278483463431431386656843719523109203614808802249202473011080830279151108472807805291054325974047591900294067333680544845628504270791521472629884905229833841998571284506227016580790440788616444507139338532117894830894019091205346540700053017368368196738788632504998635866599411102432550212118815027453995532277068907521053152124693157751922164272618381542731950624356266109414043821738134249133820972573345737982249674066790066274857799228547113009713684026282530192299508255305550547515182576368799658058485895471461127339949361769155160300124799075119278235023199383789815443178040357626271006564415721096122660300884557283635563684219350794178798309004828955287716930279403410591283919138086519612398246432685191478532303925068554908587683524338202151405896321288241455631533520180597235062500400952141032710767589601320675388036170134905095491000720901639189546774993137604478617282499467415024014901074350669363032269966030825392027601897286808669829051023104245898389730255301168795506522199556238481198007657747215274823935402585639161233010845189705026016472218498747351644438459639007172626128795740126423173024114939468024551800969771912074595182425379951199535132898557209642973344683244230639480733650907950642556684709016584426222553790005851649181423986569708987720754190920245698447611527383157348157236410436680844893735998348978088051160133238062966939627677699116506854437659484551555391447893674509680229859391903697112513118950446122835347525907020440443913577919130014510159770483866081272751007083874433054988911771638123327614662903689744315825460656367472072821643559005143420768417719345028592248756021656063856421457453149427932757538360282502841266226006779056395132572247548699856544837576867046441861829081106650092339215320296324096459589973064285856793313540447354061963631139744369973836514500791899012783539075853534513375982547756458338987816136678785218697468343600897302600442836821399706333476757399871266582819006593713911563556173470349000203504063939398256936213527370096107926328502928664507699104487942677344477512232298637266238240614237870211716964080737626807197032730127835778634264505789923932647866365637315240219440137972953908972793160224003561574851639238016090574284483651932258853788227723312563094573342089081355777485101391122197197650017626205415882751877754553065772145652399828711661938197479692838022386564268602037325796087061354903067548374882350463330701605935233237836164787496976482518472214154329667785382388366960793255896483041097859927866579262290136951833628159240955336750790813934993016412441472122668945149744477223872172005022212462605335219483918014371365688241245129750385095767892178474623937664089819646402230896197667719954465256928465010344050549625810845722911674211455434424139386970115071936214214798047775559727264056741921435343208915889083203504319707504114164120189904452393907542807925604111120161122970701731352063642527207607194614668326052869250540648162599652612618106215462266080463913079285438244324878674865109959613916214993392339100180847662384742463829739586211979887967675631277760035669399133707479817760913067274704226796365621307736021954974597771508351868508994524819712431403937782840651696339843450181991485756202628550392412329453655295521785993050117727817930369715541138479590483252548349446322539105937682091527185061257958569936043606239275894312290615357630998372882720476784125316898215281825632061690190091595054183428295781451603472006365089042424316503279756596347836658030149174630498351575505464955385480119704936269641084871114152912262756911172576763494684545005222537374008695398390771457385332475302762895846103217305894243131264487466792956288413227844898631613168472021041074342078248073820998798595326628292446621794855238715796364930060470507493831270577017240693230471216139645360241956467561527626873263789424134419392639956094965758612609256032518742727795692804967556745778909479697277358289371720853530913182173822042686156851625108925550491367070555768054888489100091190862698922310569695426953118978723222801207813723015302549775523447212160588901888063395800181721234585897162549649141106989591093758628197300420704674412948317057572908606298725302704674576378056297157645634230434053092231629023488270342664486899099145034727
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 91 of the certificate chain of a 7,000-digit prime (365 intermediate primes).

Certified number7,000-digit prime
Certificatedownload
Certificate chainshow step 91 of 365

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004813325584 --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":1100000004813325584},"decimal":true,"detail":2}}'