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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 #1100000004876511765 1,932 digits created 2023-10-25

Value

619627814810622773840795438334313443251515925866314266357093625213438317972910598568356788640467581177944114606026886920827245077940875890560138811090767791581397448857272266450736582920761488446119239344338934572790609808312050285834781088994524574666153308117395668303317147533792524924149437219916098336817298720360456266836328017673239297225573237044148642096530017171930797043011837142005925920788193988503947813656955824427891668575840646272941481295158746522657116896957888344374017415669276206631406250571790657859639756016115602004504208382732645805180037000704542967263605143831377205399542532493836213807075532894175582419871440001470305894422426818952395906653446078337978562812646704460525656738608927469023599523099339936103818727881509712947551941354474967327687867503427505999605687846811176088035814952978631306278454182211484568651875951756379426331179600329477845524775586737737780742173457761704169347632454516536639919150306648234031538090656279128932493721820982954455985110585605982675102274016935509720963605843185740387765685045398529316116412909380944807816446509821507991093506847837784547181449880830263734766015274537945049940634939490332014473495116000206233960687254927221088611912266253099535158599612766363592628683681416486502875375498869365657605744053477101072280533363779942729282727100003056769053827113457320712010415254203091139840093751846970280478907928287695929378750948782503751995657669512435258033249472545573552544640357224409599268839823558040149713982480680110022010446669951382067952071860993340141831567133230164953439383263152578430228349788683342130326988916423105327397939419037171977903057469640984124308035599512478909947705668983570948900390591871431711373072306109558023437813401731076220868347316926922537069576508481973738653786684694132343352392330527069410463874874233599845959270937422899085060558874943496603912456932283785766242049245915619151097343765778907371776763
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 61 of the certificate chain of a 2,481-digit prime (272 intermediate primes).

Certified number2,481-digit prime
Certificatedownload
Certificate chainshow step 61 of 272

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004876511765 --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":1100000004876511765},"decimal":true,"detail":2}}'