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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 #1100000004852132932 2,951 digits created 2023-10-24

Value

31704765570901158864939192992764947209788084160877187912126243876210142731174061397799520979944785308706769060721792645763897575764798459112706364078684846425745178844621338077288071016802765996705911144045562763133936775421322134897710542368298546643046336025649674818203903088953552555093483534902156621168507827185539539454738621915029699548104754505928263731397811601242821730525936867618289276885072445732735764067993117922542772974371633192173146561326326925211024146783842073418979712896360454638251224473819015737315513311658528452146227666644396779225567270602677015837165893554687675053219496088710513389048292816432050394536779619731453698132434913183426842888613671069469948659511897082334754711482925757539584733565562471339812321770421279818476248869738915570013805254642222131705790884897872725834853335782746744989446898151851444917044317402692783773941035440929583239452104840659558357578912946745784434371313715486718153226196020094890960988964951301128536948491023602483636439652192550451430858072054801473766895675412184069049319481717102161834628220503152400455331049511559175772679064485634482076105050307950328742554608471790410222824529058882827607993775376815341117825972443340070455819921450157951132765533374462447490408761387137113618049122834543712150402426082345773170936830073204890690165457055831467727957860093196065378355881763678793827072829231919700973892763409267288398036092296330126003324755707731118203437402813894860249366649633526778916570021599932656277272323493626494454753119003666030588738410018877715771146075296669657125391761970994109116917488289114242740247789542857732973703099459496678394135633828495468484774787909236762122043070867474967934627773605479476636574765926318087962859922678767562085622970077828666822642813292366254789630520109767538938944197331306985973106403355721053378520783286638477595712668491806865020315356077237395624890398693837493132803882264292171282275343938386776080424026871940156810365824473658152470561479737224217772640094859356924904490701083402267212494146134452090942987649962865218485173129083521771882585527770976053840394418864749029750380214178875220417378463205380131683281407590093453585799095046298662657993368617401437220000837287673879224142236643851104328138062435338971863009596622582715487429858371960794776555818949180146034378618070331637859899127810169587790236316845003973170468781298694211731177704777318212407045192790658527998688630180546237841538666956797194543281226521187336290834662572669343054334804818379754418227277870614041708469643590392945067481681256363132484822893149144426512658693305788948329660995455988787566118665309605132750059128136077303218644182815190999162385776090251974289140319102198863638639741571882060711110914167720481045222047068687540320223568156811675002790754679567697323503891649666867645523311859191740705255956073577576411204876905699718883929589181912515025486842105859373271951248664080189940763831914682819
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 24 of the certificate chain of a 3,175-digit prime (339 intermediate primes).

Certified number3,175-digit prime
Certificatedownload
Certificate chainshow step 24 of 339

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004852132932 --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":1100000004852132932},"decimal":true,"detail":2}}'