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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 #1100000009131611609 2,851 digits created 2026-09-03

Value

2965251495927965071372177576347286049775220440977999300737030435270782187902085177873947943961541632496285339217711688188570756717532275110727554001333814902423252614543102274749131306137747520175464858978863198296178678730642700978966151712547496399102076640763682351637516882778976641698962817915852909039109554783977713286398009193629067614868379318287689928936041747888563110640583838834422808717440601783832144865028305044564313148866690490059175745270969519164839250969475500695509559842267416761015989759395183093647601461306601032750473013202341890487197242372848958812991581030159990352375819696910299991270230320309163005051988712944077890340336607751430261494467370765786716321908458154798886036403755389444962939105815150988992509326665972250003019104229753737738907420643488157058069442090322846970939530794878266321602206620823926890736700858664452245160807456932672481377185826866884545955491956334934675718787186593427313871879883794295533948851251182169404676971992301001968454268743349853958540996289402168027575394355828491454861470921636397102441144530357017442526657127527706297722726355071582204942318506425773925502688942165715588544368989763174609336160902973161924044390628540323904374569369158288018165651450004206761721664821378562947218603282923729912153355679112563644351269202543766372233248453719339217344981931937015261070548118735209945323301970177768553354500063778817238544490311579503885153394060171671501939141835034699656842270147282503633332612158651165530773335860366397159898988058027061503589398229251662465751938269479643868117444648000456244984111794279088064340255612376048941242504185709938071349126727073836036773104583284902232528672434196511666308808986820142091149295233418704233280401140587760464176213200655159949348482820543059027464706006739208622680007253712542393224480188503847134223549134899308094432398767932328561542384026530409245823368835315144929262971068567026735784996788827102949832656569896145835503832704343233984561794827173705250221540968969118542426996880198644424176032431386075401409697528058694997888690115394160710495694239072974267201360757162096576059096086533488847472609403449191717430972575971173210687124652599699158222591479231737678548863730078862949466428369722824136832246031896180394365569878137808260366686250872858069645291260748189757178209185023067018183314140419334125601523404083387303177186551782300029532047700976405994078816706617493733303168567858581966031374226038224338589661074462400527662573535455014966486937456851475339982397398708804649588979277241170308147156089216055002810760410021955498022297065767815896197518595625795094547527738577587563906058631761652980973221337872555774463155844923254330615985313269977534491241018619405004620627755881399092775456597693334486530560169945725481860045297305387256021545483415323546541531801698067846886909
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 29 of the certificate chain of a 3,162-digit prime (313 intermediate primes).

Certified number3,162-digit prime
Certificatedownload
Certificate chainshow step 29 of 313

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009131611609 --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":1100000009131611609},"decimal":true,"detail":2}}'