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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 #1100000008678602089 1,556 digits created 2026-03-11

Value

67543579352073249882996188163233730886285306031634248167999312827686399694288024174071399811814025132319821057211642603058903174044758853014640495502706337013748547992342265613826124865380459343822255879841600185788572876912134779528921238930814569500540514841546260071308519028462002115138167419297123985438605088220924340668460711179950072056206868181014159036601898915221563698090635170099348109611206009457909552851965207522399480349399129585947150768831435070989479496904579463860601318303382384826586971090881874590159876041698287680401250020149664736699837159216775337825160173951260175303150197514945495389322228972403744629920046979394443357205059305435106179747205677120989348008482927684192907322763541062145240383549669830528625852493948625222063737094082938735584028073516255757292342021380183628299224206712074315038856500286908453950319969836619551179043998362238651794278736615482868684600442017009367632724196956907777049403825830230983867814662692199216460300313575779551597780251396692137224536958529885954932828966575541893421342370609947293676831332458730136174404500711674758637580630129315801811848685683872498243732641405682316254781643280735036414359299874475189184497837298219070325583147794578049107393027242350531385794706816808826979125916448986027247492875118067984682059305319334912383382263245419886470936322394076846036882349219467395353624326608399691911371653291758378952781760113171316824787654373115080588792318952601527717525758389602740191741397323753881258859935043281221558341160535376059017550996626629020936110069
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 54 of the certificate chain of a 2,250-digit prime (156 intermediate primes).

Certified number2,250-digit prime
Certificatedownload
Certificate chainshow step 54 of 156

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008678602089 --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":1100000008678602089},"decimal":true,"detail":2}}'