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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 #1100000004825888111 4,186 digits created 2023-10-24

Value

6858828585966368442297853308831170748002859917054741941738871130108017994861610624652851756805739819497578239556982616839746907182262098307637823534833948918775171644798175208492375489941127840467285569245191814140767416537777056796099570570957036620123543261662861963306287457698428945585098689148076912741923631425496993655091448278147139784679422517290039367229258737922281622225619232754479711226075994209343444799674485759341233840953133218324424541299051527438384767229597189226967748057849458635616281085448626238097659586338858717350478925577231241517454649325193153497310360617780201525002948324682354750321586114238230438276668414195851720549987315684270768160102683902641737259409316132507888384851694812338590631688978050792742655493890228593224271242923929262356264828061266557140078441187295735275184730464167527497607765696107542822111464698678460677729614820236871119465749119082000660491011496435642286636008104621760234037724312290950581694840850593688584249241494078413010967453761188970820075813955097228734548328588925690563519263157069507643966262874871986930340272430527268595752257791872558052355251171163193237216544702022132410511903431208524674438294463179752621493174583517769628714356945093329150960143898139733153351743770916561976030775546477582670257866785574342621944685635377595447797918004051069245105026737956368517349987298902435749781614975389254439277891543154001477830534763031157713128646695514758791785727155518686172285403931232238587956684543317493545136671060405390550009349819703785622271895809553058192151439422750756670063664976211751583786980275630535220421986486288266811458697933938755193327943869295554725967297034250837526868933729296434752305785423088108992130437772856718488934922906092956202595023374112974311901269572112984443899527449312822100233918577706215737601323103784609469286477594465808855059868533681414366642704664028128249349365952812024415396306843790644184745412848475602562967142513084378494425050214181091311401146404547807597563328012249468710445547062995865274205856041984279112448850287984863513598366873519611876069419816752663069163491071049236752134302963444839756029937639780627379472083477365540383512421614013393438494511775133676883554890594321749406953012273927158759307402356087868036146349190171999929237361939162636979766524729310989040034563130537191229092113191255500831649411286264037030679188938596345985898999173107509242319970271728152280451411029486869037467977480007635204255287758993138793893141720793524382524131905209730301397168851912070793852381597021147539726913998392136747693445288735001863989490089275321207596026676371161932416405306484180979100309265062053892649123654586965738950896883737105479826462783454239131513414462385775176259409447992013172423751249386638760475492874187244813038909040735188872152482819065164930997453491329793184858226601342593118441360721285660662115081132307236630136871977386799059449823715022593489903465145008586624614677054012827298978319909083929705990214031603116328218115090054214405798316095542325746656328361080790429735148897783244101623972807411748311093189877615464416649761353821852269836839276161796840310760270154097682822403651735492583515997398324478712048458737993592390909020172620753495166611732139979526348055478593433968923741503803210901572208089919672166532112225756384370211641349824892902237275258599125474539910667470900535217516205246669125877008945800351395338488779965791087610136063536222974181239522830097915862757048052723338604204074815665906898202593350988191115089636452994204340204080064143511444204022157477717958735213703329453372476961868573750697097788258299203031712086269560814346567969103577684025254761127191757887405945104378587452732705634310182221296586069942922730904930190223609025434014692610715652876828042635920025979082906790627259666774907661512498409315866722325321424787739892611863338565694636236276077887048399598764463140901729255961065962970332926074128729616655776084452858972540614717322827635554320722162445381671051123103078900369922919823754858140484251116525199659953480440823431030296307414943944812202150335851412711272006647586050998351719304180791647803539108062146986662639964853
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 11 of the certificate chain of a 4,289-digit prime (441 intermediate primes).

Certified number4,289-digit prime
Certificatedownload
Certificate chainshow step 11 of 441

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004825888111 --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":1100000004825888111},"decimal":true,"detail":2}}'