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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 #1100000004923735761 1,746 digits created 2023-10-25

Value

541808323435264696604964280978369037046329228879967795156655973915767767687461238813556860375609119943319929736988571552565057154547031975846131100424859914422999690771651731708350303260039803614776056656490255257365947046408291482803229080444872787592871691307630192830998172531025776456576556123233669255748932067951579860229583050697582734372725974667978676046842249915488098566614007030254034292293234511096191438028842374494283518864674030624073846845816648132125799085624464030637813265660109639843080114771434583458865740472593785811515580280145166521930179600388776041336839553643554696468042246961458670453522712422198732871504705866613402119764562750460894928029101631774169438228595804125355793928802613540359203961821418750526000778966985622376688326267153897139249857340978494923695018375035604863671225799106798206990833451250313042815176669115102299687099744362869506203434469239902462102281209583730292995167324622827581221187415677975225433703357808917313121567933381766427965633662964136777975265185462280752356821215854822570734654271421845217936126397167979511709962162307619540856493716578020267411362776875567217238332971472175354604439653181069878427061949500259435077886347197675447796611915355911799240549996932262461506486972415775904589317184169299771021047597662323462142486203637051694769478875447346476375589691041463801823250469850752713460484313808929439369146055363581905790714195282119384462418832415029351521384637523844463129282707853497859888117961930135678860922316207416606532222120603465817995659564574324185114648529965006528851963393635625211103440982919126694853134469971691028393486283072215154044937054424670902041156628334264402622924229481957521946425129009188394768378968713531570518572546127920383
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 20 of the certificate chain of a 1,909-digit prime (210 intermediate primes).

Certified number1,909-digit prime
Certificatedownload
Certificate chainshow step 20 of 210

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004923735761 --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":1100000004923735761},"decimal":true,"detail":2}}'