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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 #1100000005657811751 2,188 digits created 2023-12-25

Value

9400882413436371361406010717813218751843765707604280643117215591113208173414427785595132329325375332766022339194114187818608439523797980279695972625361335659759084433277926079785792935055411641081795139553933627445209178016524272247249877380500111283180321418373329320509477414517819115184078110788069839813347201036025738389369823946142547533615867039289683304222334921462365843775801185869367070888370703480084402187307498329304807403827324708378660526471578948061928456900600758408952014333253065664990520166957840178900394421814717354725304946804826508239122549514738909325633461374448495554538646227372645376388807857877486179628599879646069469813275611437858166843624370067365554498108156597849259705256153490140965833538789280096208987431537010474393349886372988891227078289902316693264336141215203800218671408435851350450468501944976285491319019747333820983788381864820491284463860176814971782359850873687207648724757987441824168666221503963825213631621129816344282269991126852630016033841211485452077115548906975073447387035263154790756182600562083073490949393250064451391241770307594473220509002835255470149090848260122649304508254906716036882809959337721133340695553915831394910822085304382724446082845988494772284464221442613621841389255751541957448503883047435961331036239799389286526428452162709493830129884457653206524348146611302545809538927770274869122863653123962132197334054920848027718218093170059596234179222645421816084582277689024166742689918663936301503471638637205946093524976378083410717854619457093349368993082015762408131215391466571868452516256776716390892372178760002074236167652655683921678210524124726208536524408376781614171206083551362013159093459234325183431728662434974386344973757443640589994068446204007223752632223714680018538052489438205781573559182348032774314319248909950239612085209004048792227182072813779891130367141467239891056768636127084353703021079873627821401917785207805516807562741792549543594759230215845142948671775035115084390666928339573711892826539677467557730385271264835473152106928983885011540212024952106831871005758661210092907989489101822091555165840379506243056073600721906236075327587226265326757711955832054089858177932671
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 50 of the certificate chain of a 2,856-digit prime (217 intermediate primes).

Certified number2,856-digit prime
Certificatedownload
Certificate chainshow step 50 of 217

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000005657811751 --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":1100000005657811751},"decimal":true,"detail":2}}'