factordbrpc · fdb
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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 #1100000004817318303 5,157 digits created 2023-10-24

Value

450144016626481028230572384113967663292273496707395038427158408559290257590450842821873367799849421752754529297948236164630925403323229644518909661268815710781191276916215260570267375840724940966652738680255960305853608048069986446630914764460813408286383696417244243196763704860767739409736521874174869420323910289084279154185824726582503990871130214213238668841685530740761274880465316689421799778400792469539463638254202910350813466646502884396302443298093314741189849931991771565368047777576723416323173226184029459377661567330818596957912256552641088478003614146595474123982649699545852351648654376478734131754191580376279872038717473347391411660924210498477120153374630710989433667307720779183624670117687013649926731793057970755640344573428486368596443840109429695631180221615104412205568747502053861362228849188711914486358053825096095749156283229652937967091813788020728713682529616070500674904455286234080075556564309251482258814026611818879566002023289788554624226457649591936840960719473854796502516577718371615880699182626122894331992739813770261521747295606073743041440467948217336248302689265598651268133600718359000396128743206652895000613055298173311875282705476679089536376130198174931290344061148221272333350943771563066866264948708237502216862946268711582217351730743345788248260527877568397628104986273674313465514522949412458324077605013643604729951562731991545676267445417113827525007695767464876054954119603968846946021691898800907023704629072114356970690750447158528137885665759140281281622025791159030711252295085619592202412053168137178207654138108149857957308911880639215754154628224475723933715103990346507219020466695281992587656203273809465580588570790882334171504071095656943294295352097440317623385128303893330546940796420628760371868844126024699172017500930844559623364425900370449621977213056849530789446689315157856695337761661795261068861732119796937486147924837164763353621903763253731627772534245056174657962891304299085115900999051911237901220185806181252084193039011247087997855424903884865990154646402076478045628069377152828174090767525190344578075953168365554630980792281250119267000842114187784818317369020932649261133744516864543157751801458531206606005475358693574206568248899540900857331933586326282197150996197657380213365556455451952001483668488731675020890515196687784087777552754526821489078989750086308045090345446708154733176468852221254094342227093052656383965244787978387344993999758977929561518541073252321557616940469035276982917871343410503132307157601302868752447566245600575805457039186239690465267014864304240212390496930612914778750459571402905480770775790700992142737858006903970452894125380948752067944402218265746815294739074059247875041212392839640035333778401238847450164375589916550406184115694074321556125105493002715918095791116111382987671289315946446127415466649420178358823168479099111904064083569273629634513362427532567184510934225418253245337934910877768001958291731163382132691726083820195071336780024916899210617495380647221084282292977283498109712095778848630209268530977747235556248211533057221774420059967825021501376408145942662829562930097608651261803886150646604553588517669837959885604939569980168528718471113072670470004924444634644171043332578670298715193071326668438979049446900423778032752630256560416956999039890093109889729307968531741229093994275271212563491106602357572765804100452725090989275315545672491517610078903259478100953985497806068361279803939943433560641635852489702772594760915195760895701516222951597608306075201526457052559023693446404492904101851683117394657370147546872612418717592504120299523552877686914146581252085086726412326841488791688160767975437941323550302056190614011206374051141318708424845397449533278835643808827247498224520953724868802465794075619108858007994164491293136391393312325862031706829464178587295637450996234276271096590353869858982611984683941831837027943473608641983146105487729448190330679564494343092796666752181080128495545258299899025498051251417102290013443310852831268985720254520240168326473336995270510153514154488096388538945408690935162818899286812354660346661500012650133607408842060152859565206314747656017307576020105285739144106791105073912771439974482182893147959207536752710790186947243568803276556125238584115703935385533960554972797449992735886552990491340868826864881176702331286949752576083430777223666885995515440368828343355501925219133160719487121034195550852880000019677258482084852331203916884518611267112312634020124762126991030751760587932238007415098620381655896169256987686482172969396625209980066143981844782310981315737158363022940349596166201256642233272561522539023107733318783721464244833109446885980394874954444735119186182156624904694883697568666214838593373253534810631688717293598869596044160966963869697286334764925374427646850607076391323192546752269659916512024092009451288154502404740137749025147782908436926892328714068508597572535755604855608576829120052251842844378771554655578089617032639282992730580491450306839658112249522681252843141144911366369653247630043140490450602689304806512417269822381648444139009485054307686070147523150532005210742571374013791257962902551830131
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 10 of the certificate chain of a 5,231-digit prime (553 intermediate primes).

Certified number5,231-digit prime
Certificatedownload
Certificate chainshow step 10 of 553

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004817318303 --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":1100000004817318303},"decimal":true,"detail":2}}'