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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 #1100000005813190410 2,903 digits created 2024-01-27

Value

33493629334477111411705245016762795712012957450364354423622072640001416775944773795000994442527677011892731188089980173650778880557730145602085676061465210055564178472948847294269808059192259652197308871303133180159708268310409011664133875039045121332767179642576111133470803442141181498117521162363117693500517959625659813157244881595545630949278318609423194161907413838820850081790239271585059559568471774600096257797900832581500604145692492438313226051825568727856617572066154909528046442962658235805922997045352241975068085886876193255854522640471582186318838772660073331675307839773319132359659896771435166993527370940115022084684074057246709747874567385806322922852766308205668349511777293118597150523110670037175499507802158447544920710521303360208907517383228046660450975399413613372823975896759284377212572721844639512840266291989780626613262740788141533454403544679271038713209418931806217105863691859000549308773025039895056424554498610253297822251468737507218576794995510437655372058818758194808502497338288773679699089049426323477904644611145592570553806561155503290006524411451300152012929965151680657402453954866904399406821264820361168167163734263295011979715202907945199866047938406500710162896333595004526629813526288997297279474381334862868942043288777775144037625665715404538854257508959514393328750002883391837474172589177915892922778408253867245354617728359846597981685475096862740046341263116781872719887616128429377939215703844735382573042160102419124698630342623383445867418305380305393816334844629264918267656627320438564631904637701127116074191469493547306940041773601321483250264226267110409501149078752894206429281764660747182389076183467136720874372325420547432144720751160565567869726275332580369337826841009187980605180700925211116324369570905255379950712724506908640116581392589746862293855658835754624751927273693716069916396664052672961153923896332127494422017221918527377661141169099240900787056224825332570506770317265956840911438199617901863227912715803048367424341038065659430249214744309633628510539515896636475756633906644563163165850334538143410539452521486446336458021027110734922128317810868681996827706836285350476099471827312678023473448602458735868825697337207060953939803378143969650015541826860373984540762977954156991819675263799889545855247968692039922937789848676861575521827873118607582339808876338536565911246533274947806298321603545684353341533021009200076491022272519273515514532468063631572915393346990271237749441637236703599914416781445544742916440064922966263120881810396701986221627819006310371300107006994720466349375125012756564596378152661546293308394701199125201822506257601903823966324330588747396143285805932429582056833583308682335899304220762354275061525368755088035428813423299680600510769653681952534778532707005573091440162371364363846445753919932955902042048901481353049343273496986662550968590103047681494807493746176650211492861
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 45 of the certificate chain of a 3,650-digit prime (186 intermediate primes).

Certified number3,650-digit prime
Certificatedownload
Certificate chainshow step 45 of 186

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000005813190410 --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":1100000005813190410},"decimal":true,"detail":2}}'