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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 #1100000004859731787 1,932 digits created 2023-10-24

Value

165704954636000645922927004054052339471475132326866392233466620690468975347444639465354144903064483403835012954278048381508077732616385905792949151407560321653298056162501892205181538400440523234458571961835531006849256814216578722500545272269018622187269136227303088997066721085553594057363510037511471640235822792212718464104148161486096178512907654392601316816788221442581390013251190907562075718295865250914883226613385340832434094446557339470757176514701217256320842950540634882174247650289544347501550673657919912408475821618945491237462609372015007438002532856682959140768260644350448516517758874940578233378219987584833289921179733582314130774222841875287055618680534419650612719765166038912081126954565175677320325319077446809765967290517098667925832696027139579510233847614688853998172260913239892282622119259363139911028816063748200852675851962685904663842104838501302942835714583886490520692985638217101623376155657377178501487319031470350654075665456978766057230713332807649426124588532112386174054133121001184264856733466685282170913295581588556980082928531066261082595156358930909092088249254853479814631897766050540615986934436377391770225040796501760780989098391367815576206182167358303134158655419498146119375935039875893551771096774861600042018890402673727281554364897097703730147947517931192720589098726357954195033639277238020829451314992251894668712677189616523789391999084321558667560548966793155834272566792024967134944953757713430636537614305616817598193697232339755819362741208652067951070016538423235975849041044552396996248613085659368059819000904965455900718928825121291603821931696190774548262000568301263785991875523867992863973432152058551263843574207360997351250117968539402179775881510231632136274620386075149710969266676086210969914601516544210455016689977987128354607524242356091228900457817852344821241179418432469967764744844749070589686289516926196333468834689397006459216667461421101006734447
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 100 of the certificate chain of a 2,940-digit prime (312 intermediate primes).

Certified number2,940-digit prime
Certificatedownload
Certificate chainshow step 100 of 312

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004859731787 --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":1100000004859731787},"decimal":true,"detail":2}}'