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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 #1100000009131611498 3,021 digits created 2026-09-03

Value

796288590429271748052604046642539507835322982479327832425703769903133947237364058003739056608177952784885204423966697423767669578533814469940848910981938360668267506927333241043916110244025665824522503537284665410647630854803985004690224900901770374587593392396064919830592530194373528109939605072621778292331816472751149711868336986691737377543330548166652118450350508332751264745678914674003736020486157215880115584214559528862392090739583635784589470639591696032936055972685775887131675945274200371303595927125906061438344157043617898801432837364246802854355124990407639481002642494976753965625958348288105692387020050883103823288941118391478069789930657617464364427691185522096988164809798384170527517257013117821948384225034967529076963804859762053863110464788475940775526613840482031373823362593570160162399169943273510289174968299614287283785599366493902363354617266808759481988014956926032345530590689349691714307858265862635390684051789676754163606114706625431278749164270919834727588095521062217496217275099114983517533041410882616166054998232121078149572329098283082246753882040350013316308751505232874307696433311422439595411567237408631406701523528181142265823331683351404300424325186857186579311312331769203725102120738629529691813294719725486253384664055442829507148017113725025094638558855068141538049579643031084559616509532526407865086913644650389998380865407682659092831601519056918257814823138024350351536592642425036675504485555088053379996032380713463799789571687987082641800371458080473332128990204984694973189336553635844720567100367638315561827949581323672427054752919706170128464721397586633536290778946062664201569316140094689624232520465373518372104952323836216678813298147513318610515958227315355988351609368777826814641417513372858009183265498983559161381630267396663762604291093646649822341679451301445961564181609661273680419523269423466400476724496343876059089828433784515111774180118536470645180818340656754454413870693436375903071066263701791553973576469291063039057100311491950285636233475758089426760368965030805129851965511105938254916053456498034129031247938069284215407192636366285456135981880335575128532695096101089468840474013250119459066466850056614732508379535379820223333942553164982765778763025897613817749017345043209434181638331984262697340573033793116779420320066029484521894692060306875866535474758354141470115282960884575256741422756766301861235325388112330705677803824612555341652518469499473144281727296835033651246320705584926763936470436466843350174290570566454650081172072950030824989057851741852222463860707255710295442147216068775886094094083020269809845888274042446512949700708152050562156961314215127666482943859381484517950790800235915184846903625963576085071660201074068636318478367669832237531706577216929646926500449344668181239194312531762755712078563032996456864937723731747031357200267086977617913567931859866002212384078489289655792384884937993595306200383240918636488286650764077461503918513287664545454286542735071998339106096765610156213176137834219
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 14 of the certificate chain of a 3,162-digit prime (313 intermediate primes).

Certified number3,162-digit prime
Certificatedownload
Certificate chainshow step 14 of 313

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009131611498 --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":1100000009131611498},"decimal":true,"detail":2}}'