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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 #1100000004813512350 5,693 digits created 2023-10-24

Value

12497334524604194114774463483945464210974255688510130824596723255018565858637183516678558688571830955052077083424390163225578399032712592981885421921520288009238463867689192920603042591243003763652319974896097891524925442121273997283380109032958458079060579693916965341725036569377712759995636851886550263539111151606179730550264405532595831921563178314907535839727996028244917519737377489143897774525426124169557688078161739167813328186788829495650645760572533362536850518360119489287981367067580578651404359196956642996436226806664711008125700090729435614166866598803804984007839417426378395675117100072471120465132888226445463370277733554126443718914651549499552699073819566460572541509968445085561164442253004099914553425288476357658164933757104197406583001929703483896024074313875455977815755588918832825549726943168328420838194692303016889650662285591897759072848868769055987314695797007248086849236489567790874519905077841826829499580971847726448194695195710146420559789701216266538482549909773921350475140308516334376992887565567912116920969183622001840567381526240044280600651095921972891240283707610350674958941956474752200023663542445944583032858023756045539067228185262075745977696338171310254393023483163733606575680922234338305907507274867136497926318610688712745017775611384643024729172959778961542104641997514386851638800638058082482832179751559898109343030239626830340434664652434145447431142067349366306594459444047882594195040874225351867619191043873590463006108506136449762459078197898872686615948411924544214130321650070896885167814929444106774539781242469716636385882782431656550893168246953942071650429018427611136313382964253597803807198893845084835246997000521552398133666305418091041067110125830449843183390283846411669599742637169933103388060496855654340185160707257651763192640967128247622252346624724486758333305729397978651958582606409899659828191615216843512082710504194985738848368135394677926274256488075455753422623922816415327878392581916211158845761302179678699818654447247953143840491762530772097038640072303445275780951332954594289326546190684793832138993127094008086128998967584508378679055899803165513763973139553439909250860812319348660345398993237532576499121224679282725581597684403978954781050318435042469448103144286201900905986076471864580396349402569749923365583389528841478641120076300859492120176046304764894090861561797759891758185637796305891246752627536216040879526254278900057456741423741907356054798586269710151159017687435101572564852706604391387525858382702941520794068452621197584507258329403107350378046100747704749824365311119508687842413485601493149613887343346774678449864222529329654950308726243111559170784019494195196796447754931350266160122360837631402682270473929444771587943606759335796800888333110940193902680900844164837325977131731351389665314506556548807019122574733867447611785706086462633810360094959805691390305253951088591630184194809163255100639331982055510299093352772180182162887969633485262211940277583486795135919300441698443308048845215960459168928934978174644780959739643084381473109901295571119573270535094005899682444233235919611205614495560112741592240077203473637330705846851103728103797067778129618615342060577419907683623803871861125653292712545027074348674280046359813283609466594217660135854509658994219300696203331543115713666961969837344183205209727053441605276241067060176048347508591467785325330041593550308588958594028043197647425819345467126073712373213532798620817368962079411220951556209281969405416364562793484528669557504988605235390088851763954634630664354648781826980833398977421884266261402969738575489442746491911830049480106348479371364323576178309589530985057807917775339117793707981474671927241571144519902755361954417881974908892384394336656438772777648376426506334575195567959332519794895857297601636676109489298330750574644617416649501845352209496637149027158062261007141088577036127496743637545193135741225003736650050514992688947268903993277104526862625735294964960645933074962854776862983840893520757824306015667787726293958379784150461955327060595794320793485284208285972397924403177939782155534922785025021877072331370108450455233493400607762455971247280042074019700219162420314971389025065692693191353326398910660126986000080188189479021362559653245510049829569136787833717943616061928142856522208252924701199961280950505127803775013698400050477042864272200159700592833247876476837727385411984837645869953703206578958922208292569759805560082405237492935548365069875831190015677260302381003603424398548931547754714004541892714798117331141976222601373375749312379352745523211197303065992723565207513603011093219675928163855121873812531301616158275785191522304541419581974145792664605541281687680083471922722978855441979967998276750795036530469749724907506215726767765770850110658458346042215218583432427325640237875231873996198885005593035504813269287649844967454065152306889726511767314067414054392976398696947126325121710736225741210771073395527911058295795554404892672479575602050725944006344412494313872532562146121942045310690658973912290560579196100070598190775972355184697573432399212610426312872707227543797343715682328379903447434121653272178734549648328704492536770347914626838199776637322394074978287452031559132022689602807391672450503338988139320834147254262247530882848565885254705505097502379772565895247978231470946793906795384810894954319721550623436969557161784704354417179372698147161735810031266363045678392311463999197351033611188650672971523254256866729316578926084155110031284814200154342741085244359993527131936468635077713235490971176955648146556475522080518878825566141944701176980903793102048437282969454541802891417427180220840231759879869784219061293
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 57 of the certificate chain of a 6,373-digit prime (629 intermediate primes).

Certified number6,373-digit prime
Certificatedownload
Certificate chainshow step 57 of 629

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004813512350 --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":1100000004813512350},"decimal":true,"detail":2}}'