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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 #1100000004851715501 2,537 digits created 2023-10-24

Value

10311366329321860074889704176016141789590550070480428519509659937779495103877929517508827569098142590162672001538594438791049891295430215548374872732979856507227344974119146181075291645916045294299397938632980243007974643504163420114187686936855573433242949384665633564203993817472702716820329250060036806866742144524287582127657349499941263021055352157397570188822267325653106076510321952885100002058557671628417774209707533711104446680946229589759037425585592536381898508117167886831480032119830036432318947941709579627298456001777034123872997554736588614907052183760145514253172139127160619557399710558942491508684023389542169467425900399019722499478863951322626502230409264524780310008363700022385104709687234663607245253833559258311990277987576189568987946706835998117285565980847918767931500049135634228545698790585707399287422040235007937903129302269020376088046937008863855806200180628087807902156100746314692263116353169158143378098962880311611589856986785963611673586539384918914119865519530647226513795719306278591425512590203401556970156167725496965049027495602506339248386043954090482780841870242293190310973075186185785846690568135724519042446966049515493562624646677416478794180280671670976842335006428904485305543340365263390132534216151348849045536057300757693530598523547836465440807564994398095280711594263498006626974691882762665735349968265337739029024255526463871462668983858157977136205195162511582974439192842582250934980130497212678800884941071454535357706000287346907277374281768748599609387987118671283952408196543435844338763359063738282564720135648176038884806509314490976487112085934438209928487475028807893952342142936647922014583970228187925969260331777587000194319987818838302085648612473588231500634546789873172285282890136064568047324268709408079319315331093412349748151680068413049106800717371724146059586022073358783432104528969358728208235283158133256719303227599322880292131471599375133467440299725715775332939774993837795522765097546020785846561077233145992036415363077392785291739476387984353950890328347658469804014553066344924589702862633506426840536640904215087807214937974494563104149710049650162245281619468301972899445315809212969528442240655803346332271404739034800597587686110351058807621900223975892800326921034795074459937281999923937407997926435878729123853376318771557501288371542258359895848673774215776733538255194345438062919767924242917436305239908837988030766813547905982749718351891837637548417278306504432697059661488636959316839916562728182801979571482684489443449099382857173
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 67 of the certificate chain of a 3,179-digit prime (345 intermediate primes).

Certified number3,179-digit prime
Certificatedownload
Certificate chainshow step 67 of 345

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004851715501 --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":1100000004851715501},"decimal":true,"detail":2}}'