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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 #1100000009075279080 1,968 digits created 2026-08-11

Value

557769716321052660900189773689695813979810056156756680795360758701714962989884776442453843559898262577561742004820718050043726841094758860766710185103960465093489795076609977523627223924067342514881494397810840221380608126889827560630263332935687113324397408901567966017272077549644464612080295499452378125333975425416451105459937461038014500668034450940332309458298529480146118710749403969028888837849077863423235371878757875487882132664196251491994644997517866609056616355465383907226644189689656171055354879216563375215517663453941994043668073968179069503614499728036015246643438885810627384687419510117636748766173732641884901892103607398584942820153403080208982767377560654482010783746612063569998613419164543893482699627014500328785593490147269819620510079352760903053603370645491691535911638399698245667484055006495000495440818589574811712881839555262460002964274043990377158192781826112263991516943943628216630928363304577566657187231158915719735759233467446937597420400058697808441286221069119690696761517441496264798402800289411469196412039666490806390829954047822577242787051354752758683204845981114164052543730692200485552458450242049943779477366548658752799264726826432386335487549519492444799392742881248385551121563182706422106495646265917429481305286870595791570598322148849694301853121864026532515306480987125470972689841253183646444243435296666153542416452459791541645516908529386332677244562374283729617490280762983305934872531751058660860463202827096413120556259428167549294799597278621983247414519368288525853489439389265969131674826808402323132333100308874222878628217252259292000088362053796808891164888251829055643541457620905635000611031812527495099214180649953064398251261071802747215114447579911374689121485407516981171214798245466140268998597454942270902846332062755762163303608260997608206340393742915501238597599261135960286407361424803412729723879395607807648135462090733324048808989078618874698072314430783426292475129945042875652391683
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 55 of the certificate chain of a 2,656-digit prime (204 intermediate primes).

Certified number2,656-digit prime
Certificatedownload
Certificate chainshow step 55 of 204

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009075279080 --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":1100000009075279080},"decimal":true,"detail":2}}'