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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 #1100000005814611361 3,437 digits created 2024-01-27

Value

85643281272014646210815789137022748744192547304527743684649015681636029254799291590013488934262902176729307370892539144208553417427339999746757824963774923506239983529299761798699338713707805811644772849307376646693880762622442660781723647370456519000028353728586456441395329762731735235514919592719468542458649369954390076208768268761894810007414425780328993046550417740423728767066082980732817597780826479429421930241653822335811610496609759954558930682719510975629190865114063420951201859267540441294601858084275324214497611227828353506848872270445461925995380877564154141542504553080535265504350368341387540751755532867676092587243536668760177276052819904459780136717908168092321998234952732461540452336579488999805034834842804482242910265812666280741243793768998684098131344971455763336369048018590180099524006490283796620017324006533519233936720052726758920791529884708645816019329379363299339564929786724297736126630206002014879318581880774221072961271580835008525427017585916250483535145642267226602111908395312833002021827676676711675670078567158217066844410459662915461242073109217556571487146612478527087211010080832981047152736111446146440131954953355458331378046052873288055903661072694287502011331654565462024388467410699017312221007228110255579304470890281159457075738341360816056845986175640470462485753180969873179730142739113521650864914756718888799371040443132941587917642845232485879339101894475637510179624009530771188378979555437944820394412767467808400978263628806322808200298427740957756607121681445807803472836348498348255426092342186353049784290145480695981160352697241558429579510819379724947074527427465532143610286868667069204830485209044650243369527538261219482710119005687812129654183751634291020014370861721078884390562248310486897364477630119869846650370379701510218407226664206813885172993437519820231147190342261992304917977556018546941940621593604873789617243602321540823900969210731514403602970507182422265316126862569678463009664764582071502301049057503587160166856232393672706405892292845406147634126159787178153097912058853686282616519959432355990697994299072859801735028709016042331054948937833991346324348891024464859596391125601083476066207660685100422065655850744495749383127703856996990201217651401787976250729593330766543143365774783550141103550300059294928813077340565391593253283208669049799281160141993670319702679196441734612187329244063317729609481779476903759059198811833169515979176541248340319062433242538447805171787004228900359874031686472610569493704869096184638853815332325429300152752541894300425563158046641892951523036252943346741348344375131899545333117629063277824121186826059147381105307284081965141500275586639487893929363699742399268647834483623991421508268414374396398336042199685720400953086102216379963281917702456406032545258717207425795554192437530643246430521444135230894001242489275673968742989656343083803623660553351535515982750242159472787151690900440502630554616855353477103855933072945863931882381608288723204262740375198030274719624950372716120061118935719915214916808925729243775684631787776791011437695179353961067165187995147081426623298400219819023068841656419876323380686199393431881552320127797207241382112267718495506131013495900345491259566875520313632018705126123754124079353565453951492626006978511556313194875177398329876074525900693665532255824458279011299657298804166307454926973109197540279696417237712213689320556058401234648683285362957624427
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 27 of the certificate chain of a 3,798-digit prime (226 intermediate primes).

Certified number3,798-digit prime
Certificatedownload
Certificate chainshow step 27 of 226

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000005814611361 --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":1100000005814611361},"decimal":true,"detail":2}}'