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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 #1100000009130372759 2,670 digits created 2026-09-02

Value

511777993826395004527748143834818057129631475890148271174752395157627378357253712567099501102826995812761300366991520433537558404517306929332345401162425046690761147291201956505015254717529723189568029022955228185541112088318267038156742271069421072175899910877229327416311739677082213468117745898263478459419945264925974804014044776727995402016173802522998964722772967224357847470387585375343230403608409090955046597945546443305156543343618187100148520480633288044322796733389088612360421902222869649642091623323590916454765130388784176302135658077449736852623877418048774757486702811488410309934862991586545763904351103191644712245886593249016403135496672031860291887952745135175189360274308609811973394839212841392007704957420387960194583409842954656748844645717220565968506012309475005473569699440132505861352345623026375683698685539535333202202477014282699588971227554736277279746105094749675732900276912927408192602797755047986186395135869384756922403794139206037462958510448720101771180104995452668459296465841189058116886011573500661988373765657211866198225170691225178907774934586765502673498148205131940035829759551472440049624195214747724411675974033776538923507501474611134322206766536173763104386470487479278458362573878862104866560151810643316258968283737273021364500824695779573987961972944639146859014073262413978179001302979166572299988685186247171446758541094291655042866174058443149790810687260873882233246147581356908088524221121663361296655278989150238365406175824090519568344656779411091401835785024455140047492045489449549288126803901481252830922236805722585665901848928716783308532931606801359409589083459060911165044176104926408873638584921424175011561706726615473825576350709577110482585507749676492613211083302256533688234150601605344361841055716897865355801129489292375747661315862675783922176291485075147109099430229316677991156178882068547172319566692914317845092910846205637182706009239731562436162310716299413221492221471033141681322488753921678890157632989425761686236667797638845824952500055569557334371111596929370632574708075296632335501260877041984050480086861155179757728526377143425212281855800941386011052974987708188440237052480065559669528977993168044072491365987830137388641067410175193331981376948511369977566011505789775991126752620983125968108913451900309094601693537515975770394278854063837978798808732954276676590837590467160777763389578658789137677089420592203001738753683778350179143780924086839762771079463297588540410086871073055745715515290829540268001106631844208678671721639700325480668276117454672733640852412988695559634862914383421899120598008084030591536838162451891458549472839806223573481713577306415809465501
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 46 of the certificate chain of a 3,159-digit prime (305 intermediate primes).

Certified number3,159-digit prime
Certificatedownload
Certificate chainshow step 46 of 305

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009130372759 --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":1100000009130372759},"decimal":true,"detail":2}}'