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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 #1100000009051642467 2,319 digits created 2026-08-07

Value

312825783856804819837355175766161206220390232863530694679349739260359852885311154981082819990615191860428789417289282905176604299294964921844955902200193604675920999512235204036294986710472100207255710756108229479270463641842219514252678266998149062162906862454704324169139993189467835912218964363532840935777464903247323317928113686079426648490979747810908326145762416125166480992079625165526799152520796546759030173114132940552439629739067980562344030788271649053619068421825726411102336531802336956201130323261364885684134749424073694865958688850194574333555479998534933215896482470957803068589240026516778791982059517481105717489292041358538245037671835289742045897492366768388339010929679160919346390932929376675005736591926532881307658423051039453002623387209376709876175049441647747997306920963994284352577689236383267240215259447853609275899818882244530672478715156527322451813149243137396146852105145510665113172586516085277967958988040407941826299385940795991571602289623851305833381293238100327739714041319630516294617849161465025712585926190038460316903128432818474097199390567588703783214398492078528037820593534551688770586570922989982276695223039785687173348797219713563250588477356187318157381796545900496265010852132096121351058294065698958208861204301098324866016725997660760000081888020200995586961823725294175161941752538538578788510901887713778044567126697551919240723848239441519571913529048569042362380298039555218871400259569943824057574623509297527038355300386319013078563198083796070368702240706858131462624639293459137823141205381885200163074970351065411405137676209722167710752244240353227205994552724537496936134133532377956952271770716870752380292594113447467170990707936248196539094325211458892044883758161412854616751585690162550908751941213858071027479957103699135780716349405251799256349494488635823688329637173065140831255833967264024086957358504166250825676835229542783017028238248972610172532666558191797832055422521133835203943633935336136147598599371405963137110315511544023555797017567040439075751861684164260865559822839379651782884712603247268278110542200234324777789980635512124309271742563962298689292452599485363931753621175766924118503782525358582433671300194510132414137118029262564767142861287191071896251304847180666889743536023768821787112291661028041652652380119793757
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 33 of the certificate chain of a 2,823-digit prime (204 intermediate primes).

Certified number2,823-digit prime
Certificatedownload
Certificate chainshow step 33 of 204

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009051642467 --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":1100000009051642467},"decimal":true,"detail":2}}'