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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 #1100000009078667374 2,052 digits created 2026-08-12

Value

819400472281961464605867223488857208683896069107882977054894250240600716192280366849228624163393560999782529500627742446005809671526570731267548972477367207062181535711362513197284674829979730744833507261300391705455651298748542576145989212053070771351473265060728509536725195643176730485372044655849489902198663257343307492427794162093491820841625037560876027905750797670859445524302232246920863679505969965423499767822406902712765469592670649585890011047105123779140595213686933444402075404975445950984884627090109062737805572508116763096239158501757924613904086535629287382687272103845615297835026669402048210911422022424873614203549490816974171603017867026588800438817401774701670314561277091980485119432111325847894751985220970576435175490510665420527815061080630581113072601945510333080333239200281049764162087062503881825694351422679343421053684174291130224460957670020147419224772317836488886913903464462997021734959087110607271958159881020053184500738516268063150778193880571407762540963893472802673469647426222494735603755608663198793634408865475084826349486917589891859958555849639321679939139652286347125423348732662423543112422380118346210172158399131549983256608647027502493844133996060311748078968480659312964606101165180442748210257838679844575844645718954970140304757563692927978266308060825456000189300512855657010039935886910880588107040546458154902446727986983144917955555293245059432592534224776735888584509134018052092766938482518082246823119284728920761237999578699299973098973913464700824712293489554742783611318574938721564442331663838524590916188460200408162185081583785565217929952708833117558354764714397958542512681333341033411408124049443911581599394143496723786246349917962046694402142369640258234629671244986126021359432590112949206785881601040384005092660758073902617777193495469934445154933275292108816160131249522844943478086161583198069577131439477924043803816423614867199144159830242594097211167738819930325649154990988869018735775204244545307545935738284030623973030368405489279653265244070533489006561778207388681
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 67 of the certificate chain of a 2,952-digit prime (218 intermediate primes).

Certified number2,952-digit prime
Certificatedownload
Certificate chainshow step 67 of 218

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009078667374 --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":1100000009078667374},"decimal":true,"detail":2}}'