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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 #1100000009053591024 1,991 digits created 2026-08-07

Value

38343386848443486399683176028386274196382216494806933792374809741865223194401829606286313786147527322892655233173684493218926420586431482775994589485908631017125824480662602198696101514229234627225896501332703648161353626493344687844205327328920388506405011037544894461965478137438445180495822375303138164890427047647958233872312629725380777410690125559997548921407194563439289361196665359996212471562731585536528365205390451422571442423777990725687854867597289758951187526603249800718912788473149054384428427379756059434770164377245871098645578897897767347561772437952148233929630361359777373884099217371536370288096171948972852112881660306904273934202662709352355060183881314591841358751953874253547415047461803612241397739668842315914934587003081283432456610421716773439787360152984311034712236552834763752570274867278975449624894486608830123624388809200775079033979872695860700393135433814803871279175634004463740922114547069283106880976646583075172890230386495186893704500044965132206651183240301353768446883770350749584836742606182464967925209377244618770176850816729557225056893336192722332565026408497406602789047218602440215492791530221841222144328433434133808810901691361510594027719616395720936627580641294679124704149211087044171549214548549637184747443894172347801938778232400901798434804898802539502208681783311113825119118666011142988314148216500787399479086091920323940502662702174816221428129354256323152902880027888322948655959343180371413968637342213588421835088222109958538490668911094670679059590881107289325827136202092654947095539048197712876973977720517005073581081128308428815509125665331947173389735660438650439074705076960887352721484092584521645876311025206614766864399187824455089006045901194784932210364019709138241493865689788524826123879505933289050074002360530949819676285372495585593976558699456871061144587349734432015172265261069949113816813373910366543618899639277538780172649766844206945082206195788142924693828475376413220601777580545241331881333909733
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 17 of the certificate chain of a 2,203-digit prime (166 intermediate primes).

Certified number2,203-digit prime
Certificatedownload
Certificate chainshow step 17 of 166

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009053591024 --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":1100000009053591024},"decimal":true,"detail":2}}'