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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 #1100000004823358310 3,933 digits created 2023-10-24

Value

239072068793336689103472234803117775574659943010452521429478177132987483661060855503300304353395005859959272839549821077395734681097402484153562056582813690711690492321116608803832342339490997149577480478265116768285433563893008905220146966962181988785697009062921984395586954964374247658925435242702973973853607342972939725859135478928505225667419648463233333766620223969480241230512613312427740957213533479874383739170792334887433372446391498707267106520978087365161281988226872374272130875701474411132852179747701703815036795781765325607962290449453646929243854339847593720450945402591747957414278972863495666143145758935245804671838084666154604538640915125793856961332472863532712969844281964662729411564346734200727074283393256065540159011483237192108130320090006165392232300385675530929795128441187179067879639919131030324844003414323843915823385431057759933629876889294267632057963614192023091891338035398114690440014027719695784371838651324221617086577356842436176537623856523532196514636490320424300175112942455519610621662296165095044443870620835132979502570627438757332820358829550790485217284466431164935266234274221719551813297467932308023471121243837715557681280646065961801811112683597360499036548253951830918966949632311812778988605337757377089817117087390378646416637921350603069490283332427638265607523405786894231112491133850344432639510651676730644307219261680527564259520831245191145896631645691548862602524277145132625726094503761520123583906219611171243197120585098518227045479827599814011131220151059281559838464029523353460581615104730543747197939763530645262223858251281142125313495971806626262370931356749561369512141850058517485548048000543453862456458510764557144849042951523167765897569211326436211984630017183784875856489799000049415508221984703124190864951801352476850929982395107394408993863391697333617996493805022549445292637183623717533077952427666812342687113627854074453297654086139252940803955073597479458320669876559907731998566820836755694541966392301293556717019508066015462537908551234865286591983736435791583091579330897826287105309929264857767378452855981969902102064654449923247409114955869703480080314885127941792141341284599027604529770914557641590414136182833203684718823202125256180724202210115916234562448731559497902595258501033368253821997135137367387627446439852506886385868314819858557817369289916431224247667789284907423304434379690808250797015570389046342415891481690193577472294129009151326855126679649074497647938174766078813317867044219333260655617849452014585468169914548860925335760471992425588588281420091567590333079091380421061825196512661934365710450063371396455467061679399105159049570952213360671987555380374292405264682584195407042155912883815882255272670907529274313849731024111674630445362144048822801121704918308926082728300831804373424658073407810949002318440838114647798952330637167394403441466228005961184013821709673381008634882432248169294791808980374602422047473525618380938334608801216490216769047999281383558041120196528644704036279968788185511291350559679150584634135526072476022059406905515330257379144023362259098003550160147294025772084615972528882645600395034853421643415063639801318320518673347438359093059741866036272746439526881762576877060095786037070367846655405729216315680748521258088289249053665271945836321666904103618917165178019312960574034386861832175015488914210315834870465283031635461128710141309509042845364623001762777608486605683517055086557501364344997873572901847607017543528139159109626032915470939459683998974210053888964635683900054346225675142259064292719264297465690341826399142851711690763708216215405637188543352879811122489197858152327611968209274878892917735784118326537229390300220018658966674951543601779095228607133124149994849467355685430784858228583767076392677463707371291654338914380604282168718743524552921112174565386690131482034733550979759080223739042507718475701167526537837533581587536020324374649162631071
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 79 of the certificate chain of a 4,539-digit prime (615 intermediate primes).

Certified number4,539-digit prime
Certificatedownload
Certificate chainshow step 79 of 615

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004823358310 --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":1100000004823358310},"decimal":true,"detail":2}}'