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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 #1100000004933046084 1,761 digits created 2023-10-25

Value

509849740406219851308221809722818250740631963452218040909088081219546138564510848396455789823086745997137914834253621970554176872158137054816621236682502834898925716199425225007882543992742436987605528731698366461976247184362684931523606156379544281345200838684121453141839047841248266033308534218582197356752214341036763716424689818050640158023258538807991009446750802607713522704960998529412953750238676313597592812884431155255471909477417281726526414909648623227657714160465479143921015482311765113980283883246734611363609857463767728722153220529272972878655745919582712962164320781287260420080608778804299352600879498152042670750153979862049257043495145030567125552810434619476754959724815248815985044644862351687897186874389830984858612251458605441770630391618148227333865847753178909326602868530969456648033926316815422448343246412400344755775041831641575762648767591927196639069520910831613305195998310955176018316816541324943933279586365297358814310935728071396580891763671950641110927966067571701904857827341085008337056404684959027488156752672708431429490522586027233752824005063654944113175934412596796042601990062365896886196784223312613668305315759038017496282269725517919315405778364978726779111605437882636932481565751694805744549024086757761341180137293767683799774197851946911209616524917604389226653909937966304027607742470553021712508417310182164260593356195960459600292884181887259913836208259335965757949688132828733232082747141756174661865268504562371070260204431998094045246106647802874441673920370967171347087137399568888701147183521761985644335799699835429411677503033874511300954789954129884831445321646897932228548219874044717760643072705638139817602842326069930929136600691004691120659300389461241191372088623164727792114835205992609
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 3 of the certificate chain of a 1,774-digit prime (269 intermediate primes).

Certified number1,774-digit prime
Certificatedownload
Certificate chainshow step 3 of 269

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004933046084 --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":1100000004933046084},"decimal":true,"detail":2}}'