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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 #1100000005814624636 3,728 digits created 2024-01-27

Value

26878671544754408097140894937494136618894858481692122046805913205312401387880272126664891782724875065962006160538121558630172804351342889952365706835565430824165107348043911569521211442872123584506584183032512775622692046607747728486346529339103913433900556360528701420971440099756734448134477959442824666702228265106962081615003457486298821672608470518581964452434954068547461947238580964542733125004409428426346228926521272290904761584019744016419862764439078249578912754991837411245626509310172254750443015189491955359455480724686048560691991526544337756048976879423088595466458768893480739349611910762451460618872214251845104428482762927467339011339782577599063145404774601103740772670556393854509698543265665452525563073527960345227579694329571309394488331747987406125823298691529333734653491854489807175722343684740473420752010674943522262710327508492225719982888482764634454983190625523662184947814838447405971088433058857117026926706439231134698839862003118436279269908398236451949775547116393549553544645574604599757357599844913312757863879305917314623216739902356114836315333865394381547424549347947650718311326478358970726278523687103995772542375413379656392172448234196905340274216528957079399165547946620298689194297971467103698899877607859147050385716059245767659112393657534098599898498277851403059992815428866582586810007705894317587096110346860545860934963080462462515940957518531017759305464185055950320379844392513400947524800750537860033499375201139581542283847349704478497498600886449599941331409350806231013103833480341237781765840902539102516888784225615245524185531364255141487599208986524728678847242664425775053371907470782631199197383747847823894891064953255348867343948419902307699427014709467280077130325476163381606814230619767259468809597762473934812223293579930618948597787378695610072693565463664464492631636785788334279278938726976060970461075763692270723205053132287421370869146204945075455918490414589886001442312568150292391094592780615675440023785965428039593137574632549854597905797711986106357687960095048270519500500820106749909843261326337401806422814484654147089302716865799676295327268467855736230749815516447639428467219279280318959394261603631239659899538983497918704005183717455991074505764718566384980861950183043335071637904866274315030886112696344354276929783419460807044016833387050450873690011433433045685545123176081428373949252228474775113641707467297300393127136451515288884749606062660268223625587021052745920088927666367039639015242061919337915490458247786437542215628162780823877258393640377056769458661519654698745227640478703844953159090301999032420838279056599296662137849446004703339341480226014775037762039529307283342666444471423203956446690220267096169568266057036892039829632428286690134413619599610964079965744016188204957464261555974660593169147328609982995548196496999955450702550620229418535198025535656575460533174990105069564974917669807641314801863274441274136600841436804089724941011791485660159871429928823174330146565532196129672301711120668579718994414249224621108149667427142777561224341457326277925656375843706800247695994894200531139211496169441266513894979816132994844459631955646619086040419841265281587304743878518178815762676046271418059704063737238489951052455705502854177539549973166949780083427616544931426406850122282816218560026649691773364512334381118701403430116875957140331232170743967398593889113121916433250209459615738828241144673938454358049913461104603094202300807617323983984346845524560980336367237470971714287590812259949078659512998860659840607475103750565577502447662930131455468328265898857715161501004775119271429516766006950845748499812720426182735147941071817789080069009556394343131790386174245576883741031389023466569051
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 9 of the certificate chain of a 3,853-digit prime (239 intermediate primes).

Certified number3,853-digit prime
Certificatedownload
Certificate chainshow step 9 of 239

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000005814624636 --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":1100000005814624636},"decimal":true,"detail":2}}'