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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 #1100000009061157321 1,740 digits created 2026-08-09

Value

355578225316246989313299697009463919833162683559358972269313637218513881786472186827412686470528765102514881981363450632075173155889381314875911354926651173140211460670958637618461729361879928178721382758365030918684977123398806527108413113441198853527284168580634560227392756605675065332372997139564727091328162551786375214469069634033382601749805197169898675215634900757127632659816018406922808733109568976932080686097689382469351241437873813523538878804380225098061513091632732403813003817493440187031134191874114435344513453241506770245320510461198561232520119531792877533056807803349597376444699725618378959212575338119608911629996573186369573777316949027796286069974202327251728990055588991260993749918691594211591186403463894948292219773254263097281189672612736575675520874269310179163472446231506451776797637727275804773735893130835913399015057099096671406686704827839368394683088977602311643152685018103102341323619077133537588581161729797854653726224320749772322409471043742323284409931042710969446894594843420923213825370543783120578812995073464757821556805597243819761974887326549988965041603882000525489615024178165365916250351942194912930409576804063178170074661629191722644288296212447100695042727881753745029551201967633771697569570966728762331137736698368735409626745664977178058134911452173284316048010096128428919985696185596007376667307395075536215926024872052317457000538472449708232837672972579622589095173605900174863500536342616426180441033985018902030075385458026414496351110481280994000216446960964398645005000836168582915549139553766302159056062436086805631087804374615175179937845823973860380689895122175461852421384544496069436216839954056605637602733216484121668676794949151450869613652847236964809002811859263
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 50 of the certificate chain of a 2,371-digit prime (183 intermediate primes).

Certified number2,371-digit prime
Certificatedownload
Certificate chainshow step 50 of 183

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009061157321 --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":1100000009061157321},"decimal":true,"detail":2}}'