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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 #1100000005813179567 1,937 digits created 2024-01-27

Value

21670028973922700999688327565897072276530575575770820765787178754100331821935595953640000294358046478533924465418485284314758196892628745070052758746091341964728035895143572484976467693552874431816017447218160663472537799183402571211064386300929125868029706454812087529932896165228690022890041743395252931619635338411680520014496160684248616518194884202428116065651096440173859762327944480099257936505161972241773043627116542006647832888910628085817056894720660807758619719945236291651256974044067017934315130372875845824139666914199317896624188249260316480829864266067487411036095982433436113041780692808278327282613604286835949918281135522406072964375922784935751488924664209254864973549320157071609813239379453659424006166116607218542679681583485477358670195913385687918787939336061125200398800998279735467898639977869287113392728887391433409243092961681400300855439571412114176107639371561124278447982630345995859415436485887699867201267842373125899475332149024597682489156917811601295501409340566432121396613801041267363552036026215207244759934917665658206037546806439012950262529521515697347417243164418844258136274073021114477374193583419843209047375586581881824166083446775924908850753342623367497359107720574588763721772722903227368919845889451439747324939388956198872980469814930104887049501635858011786088125769204371779291219076249118652762569377706956562766020512174632075002086071366916371138007229836819227644532301302008956781027341669497982509622992303859223933298227222010482686108560455399915525700654142298926338021726058059519269417651270006329076474272113745016828384104149237076587881845332116313143884379495239380921916686735407731029259965266938588894543118710266281404957745480908063274474808938608116624645470586810156630525877776968358965016755470138355063965549000646323926006381622827772055397685698778258195832951368220053772624407062927200592558625888875586059331040832804336335919527141218050462580269653
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 82 of the certificate chain of a 3,350-digit prime (166 intermediate primes).

Certified number3,350-digit prime
Certificatedownload
Certificate chainshow step 82 of 166

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000005813179567 --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":1100000005813179567},"decimal":true,"detail":2}}'