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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 #1100000008678589756 1,938 digits created 2026-03-11

Value

315227744609628938329605084700208293525627112188571837376033046213168990868371261540095491535268995314217198939005181654972567908953195308014371977415039952925205595163158785557502212761414413895074523180519021986167367245678937095170442389337916223029022120526677075755391802818362057936572463997600211521233349117619318536965350984527629849170936330349260660158167973770422735613775982499073545680718550264188905901138266737965948085981463072448170845363665309715692538346762763170876608852511291640614938594169302392400588554397121628617518362811450201746497841726966668683758779995956053676551983449809629612208702333918111062846105381980537721877219979702215050302455974376841642470174895230164232281705190235617054498375448057017232301532236895287821699812643139467326470351138195396406056784393720791048498454685473485296545088494659158500836952904837658923893376447553763792509164094910062003329427908147697191088109251517760407351441632412771252281921265034590041347198360214941008848520509047958955167784786576283521659689596116793175177125963199497041010333598203944842061340556170920898267820778575881438537497563737416261378471544694635352576073747927385860969065071397884980794437235645448777752568407422274089837349163621381080610876485759497218431320291824969876500837753358503914399110805957160299104551520242675247746355151064923900598614447404959423934480923143215501939742480045120721963496114100628283125857336577141190853498968209567202757932557327431045696318325813662730847264065290286313508693531870415784584218751172324871576015562929929082882269040607911446027676392990165323737924354343891072218304337056493348880223358757197143289518329784029541578961459104265488902042629180530585345924246210720811588581518489541358069428367837050559582771229855776320300821682925071104214832654028892099521132106045950139360539112666587155132958407138498318463996262614826337605737053903110228557635997548080712006714769573
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 39 of the certificate chain of a 2,464-digit prime (171 intermediate primes).

Certified number2,464-digit prime
Certificatedownload
Certificate chainshow step 39 of 171

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008678589756 --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":1100000008678589756},"decimal":true,"detail":2}}'