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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 #1100000008823081598 2,376 digits created 2026-05-23

Value

241065604361243578622829798391318189667629832413335254038018565320562327844894866685567022475311577818244313245576628469133180228412230268288404899882678158428326401275054046845477402762911379087714973191324805359011272134414289620594664758377617008462485559380228011963220536570088441940233598676373671639399800903908921871580431540510911131749455386778096374607245201182726038913259435062353678046070435101823067434102455119089254509583779704999322077160634048430081066196799517450937711717168880549987762092106766034569299679809065306401493062602583124212439066987580390423031603763287647066752063195934554840395330996055777789616312163425287771109704129672098144875723040544718368007831854407911073337684217459252657979550826649052143428763863122611055453284641282416905383995820834290228207369509227938682312065741257369075547139797457915224421299901369480683280163050401298177700066635727240086662046584213018970446336902482078722370749184598964735071679011416277197873091336293648435388992580255556784312883334345484838266389712451443567571474057374495013983464090811863812336701548470136135843743860956874147778491933883916098956750893016589106299223876136181534748597310235779588413657662018771090974665468765347678276171786798596705993715535868917343439880130676365167987696301310995429004445685597103832217942664743751657815566074190853389968565919067628631032707367736911000272900491608329978759531939929651258540444433600979928866761925194540327120459747317185173655612164579396892170893547183094231004021212494390969791337035969162246742365435140347510751135286016753536554994298473440474830571769576048488831675668681959690527201473327647144414999373578753608594099040728081684335812615027055629199384373175151284894487203364590044288107778448900296130876207233540550249907746149984137770284151623247514756683418795668714816420117932054976954380820422833677106020596483659433495339800299355304163121803537547128822807372162321543331942684606298196149103837912368636832170085307981927564506939452745667741645551105416298025026276882099057215378918338789327090370379569147131108805770030713505319960008376272766852473803161908326487367408873578595212295597132892828975953812116587909763262343743205377207086410813915418546818097256103616214800466110000898879873787437665852326623116830481230612716713683840391976570521026497604412560826894067342390982020887191121
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 52 of the certificate chain of a 3,169-digit prime (197 intermediate primes).

Certified number3,169-digit prime
Certificatedownload
Certificate chainshow step 52 of 197

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008823081598 --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":1100000008823081598},"decimal":true,"detail":2}}'