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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 #1100000004842049148 2,326 digits created 2023-10-24

Value

8359069920828687511747186283540038448071761344486551644928005109477389744210990129920051418709729554692872095093895912414282118685362359379170650638080153313376653539164276330206374393501860992745694362245435516242305675854449735714491355187206699270223441025952031318743882297650940693850608168577657167791302048545890852615480568455210134430275630160510745063129268547830413521627288378347814688697044409694810312925151885444566639833231608325958423605392603678387470832147280715182198611526712710816639185166491960872669561684880811114144008767613285955333770731212156959302899706321205070984083112588264759501621615980578858901797180545221509039296912452641797534687563182250485020910460391021809631095400095489145170608471995768706611865649383522912903340003067621403394415275485564464898339118075829858576813143673801341780594180694528203197292883012851984425052650615757261458517566857787393635869327906981476439823514558671512013320221051464617320158727108318413681473719478166666117174359174388519841198027065114300035059499487166414852036863734204653960209532736186005188365593134203340209380465170563958701178533002841220377003107853041827049312398188334953030720958256644210318969925164159400336983831832399218882167460809826392750681152189986906915685685129543947257041664093677532223463493734637290451888777365036812437534715513512851537303063613887303791097676662620651696639658180750625868623630887313004328729648699396752051609036703518116476145360835669398242568883140845286055759299143615522771162680511066698524360795893102681112870377452410682920634536032493911564615296359721083829734876199138318846883245746438268648667429353761278360827046271093703192211192176241411027989388752534011396443022879370540052534641830132421034190721785225782203578937523394807063481840103105258581893426365135272885241074885232111413282752894196193011977808221255729414388293304342993800132129614437272019786917804501507823919589211139239970045172231084520368148843443978522681934755630111719171661813613697491704825268166048056723840147758412657102679763364098157092677095393122157001945164900565453756167973571926164732037291583322159593710846701296013047871997542819173727435182393106325360342126735805838293541292259162915296150293275419711616487408576417776535236772385106585557458329326929440096313194038370451749941
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 125 of the certificate chain of a 3,419-digit prime (408 intermediate primes).

Certified number3,419-digit prime
Certificatedownload
Certificate chainshow step 125 of 408

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004842049148 --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":1100000004842049148},"decimal":true,"detail":2}}'