factordbrpc · fdb
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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 #1100000009131612082 2,303 digits created 2026-09-03

Value

44346914809209012853061726227846811742762371461940121756674341242191118009857852327677634173508434371648001044852736741785688157256541477574515918247469915927922267238943248728513936287942440473990660645189829613434853308121983351763594541865610088473044976120234649821693232317366415659121635029413170861260744425503729394020567626638022577859772776036415814080694585228516960924507943209043771196915920083099539377895119796760386610628241701373077813774838212021530977768136167711395662113661441321614254130397804969602723567576585699729131031910512652357404315754930718395942602529323212921785706821906642645783565054764231304148698099226219448623282767744736902408615574203234056769563209044254895783694609089448487230528151850267482438734958038975684417257527854453619381857204558805369555428657398262630599234606651354261410404776232044340795764315304815016575619798407781035144469262167088062430325333103539336398529928927025209447034795768101716850246279629011246438511300026072813280971544835316255653639183335612441767137268108171165718558061741043839740967414730530921982040083570848455718259207383442652451893204884808367599592113471283582919309739199619369382919047639855092453318192227693531761842565570987256458574386214624956788379045972617050604445295485979893973789901456641394045150715712071105557194337776214354110278813678711458782602624688382688017885045531468782366853043445521420569452435339373964430181843828521622736644130769055340662775270226398960429809332587735872898277824480687528378374808221204068318350320960891061752804352088438197380895185432568950015355783533848551929410983533622779650773543121999856129624001509231727787872219397326755373071321127057439097842034282556880604471057763198611150117129321434999881376572546837373327869266360740450010321597419259094915084137227820215052841327936793474982425977600853386177418196724442131981175144399317665882744616960510611091950437599752077760079038650150082167177232650485773551230676893729578478314830772947053761653085072692238545875765805571167473038080393085301766474539761595297377379049900884561676267776047362733716534410334767199607957295830102527275954642922436381373907610052216910620565986503860553373018346074624017030899080127686963531682857212717412220295084189278550858152289007929407321178096625222759
Is factor of

Primality

Certificate chain stepproven prime

Proven as step 83 of the certificate chain of a 3,162-digit prime (313 intermediate primes).

Certified number3,162-digit prime
Certificatedownload
Certificate chainshow step 83 of 313

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009131612082 --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":1100000009131612082},"decimal":true,"detail":2}}'