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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 #1100000009054544221 1,995 digits created 2026-08-07

Value

703157137771071682038817799219271311632934246538515686234565483314784172033965365750390901567303122194178304378828990018696369519470255658711716376551438110024028519079219784464416402964459189842610830329501979576705947392456281547983442024356989937673627783712086681723005424734884290582202605217980723103300878453375510799122662293180560255950095513726222361052181960861228327829801977531078678290715944002642216392646185804092093792915668935774402936999501097804990177897042709695608558815872794697222608415991203389492665211186078611587165962560659162887116042569111078665889958524994743829285447186641127248406004556018065906874857516880908114781563055401537699444758147439541510468108673979837722125049278876475930768353088319256656218417475818574805726628802110957963838510089990394742036426636005126954452169040259561227803546400610359537591600118155353856196170696926512220827330245113416788812247189125090862498173591739829994021392788036210791709805459934517294953664312251454957556423415497269825301752616068493136586524002277465702836453680148371483814753127955397577358200087466976369746151067951007166482784166139339499303976071275250256892378055512892496965416762686381976650918986598908292930575955629009976474361432619281334925748860264750923388347980605423129083155131980332834082861354004686290656809016770055510428889285151368834016836772740237517178734477187711217537377099758630896307770397622816490546443502991741355676997606058920652280937916875471916262284009677972706741760624831146226199291998243748002124323219498607871923832902569302197380661339422767955740897391480699543082457494622897068510233507222162367667182171495748764397637851239746053730684599158195415069925577874273385589084087776755561226688263353337231053857839898121920296096623825144632765208517214090022002487867150402925006268681549957578768063429287328594259145803689631330158440031573967178973283450692760193232725279716606465681290960462746873932377147871367482828378333907994287558395584405887
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 40 of the certificate chain of a 2,519-digit prime (183 intermediate primes).

Certified number2,519-digit prime
Certificatedownload
Certificate chainshow step 40 of 183

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009054544221 --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":1100000009054544221},"decimal":true,"detail":2}}'