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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 #1100000004815176138 3,535 digits created 2023-10-24

Value

3089808105760782071702637083532473514669313509759307896702881762946484266304455032879406848264793393836121762864912372123359952392304374856981191830349558895466999124718331151180743027618772126692654841043593613550620103190105898064155476243721373253960258564572886671139418789355017589318745248608202959756088178565718342062395134786942341584282683528858254106189068126460415391597076047999302161487237465447951712697917927573113040553357565206552736630296695022085906611449494989465080200136244658508468312916587521593738426777494176766016419759909453542263837107974507323437433608591925718212768690316419769141523333733031107205121516874143831517188442594718767179088110811262340565561158356921537778664042657751852398088376886867390681679414584890603787381646374006056590097640269897801045284931382699308154405647887372089936799833173549058485466479342200139443131628685197070641335407018000584396082771023149187566592606856488637176875458258281683566193832711528616503534537283637174407939991199056531113754186773332961876425337897483247309259925329667466610519788194142931276637033323141201972870788146204146121245044371985303821700635268512967755670990815593943834043073943520453468225932058013577425605121094191575242875457535394491015955814769433523662089612837941047072896484651124525137305653766385855341932740389392353965652608080673725905414917146438379111934400795877260014979222657623717205069079614809919237744003898060555280767261257601256082201077085822403492109462549657700538917787670416539261681583131859406944316450476016655442518637061327618276851259605521100549061031389638226839010301101336356276924651234159147261923071270293845586425047913827531352931187891854745153603655067899793098507231549456530657325777264757482901730807262255059666036187822312263379557192418091088843793802965311823202885504083586847478218987311844179265046042509437751936221498740768395589432302593393164213046800935797582300655998553451205181089710250802290832073571232231811108958919903320994370097877758927911247383486657821115675210582423521029328393211317984819484454090604169359670296397298308057128122399340816730605288988805229002076738818836254706438747915282863842419492946995332778597809031883465553165787487377102155306540680719878939857563537353793516238198139502006552078712495957044800747684666528640254548506465969893733986119256486111190721664088733399660356282676168149589219009690791368073230804423173653750809356854285019220510751338240317618016560432022121901392454149392430125581750763909539595093402373678799757007540188389694765532852797377704031262096988109808602462090780774588970586748023740367867120156286799174230317863996661426294113620815327406007049596937476771461591235175786433773198173506079535048778305957312467435858037808830094054283483284803652224979189976655367531739642093513953211556632677416987890005633295699594175505039202608940893976692927651422081272679061791794589502789933384740472404333267817047097376639579569363133281549912960558541031943329828785526828210913149124413013937730420490313233585758679610096037610796256861720445800370739819610297574188644035851295894592144122097322351320408114287086068398909360971333751175426540186371354458502630546515795014692154671549956363709542477230291268571987353269647800433702685415980582859215949107831163283020449582666087421759047355727877127544798832797210187582464762819136916770348396076347690363927081914293869383240260196075572670791194939043544430663644852925980840763458775710673160375015478931578038551461863347248653265802568877
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 191 of the certificate chain of a 5,517-digit prime (577 intermediate primes).

Certified number5,517-digit prime
Certificatedownload
Certificate chainshow step 191 of 577

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004815176138 --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":1100000004815176138},"decimal":true,"detail":2}}'