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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 #1100000009078768181 1,704 digits created 2026-08-12

Value

146496348934241149692435368907592157301258445526241380162397063262230291746713761018140436739322394525388380321931330114276815833307203544789052541827586435438232900978833291155073700273634190477378568658492031168579502592447035642273320875780801997481510079796520576138427715863783825500941370842560889942355997649616759181325824278937553306702699584100425662049719918533897546324099381256748374736087597888601808442208605229311651269315354039774390175193124328550840609270449286291254909607088174984567472911610825867336304801387451587777647772127314656740293493432538525403410047630652474094355133889776504917613756171252672362241269602101012366364836534166283849727774473481620369470396046923954811162854350581578276190671630807251301407773408513721381592700642692340280528607157204166617619527608852469418501056956576169691751826700188951981274059639712136502329049488162060086734156806863712384713828438411002249734501529615635960528833681643347566981783740447920827746151295193586763578830738623582342330589135835523397285590725654092766620547034048272846223607539925292627973733078402859639802704410421826079686993646721977240332506839573192771350331049755360679879333444411264301863037434961052176531350277223025325370023978279338106320030862294532098220142700445867336706478025264898961634053165323614882271016630606838505470490818655905385277369847981405241204488167715419977726415169575028210284601596794045311204161096349310052183880067797125472516507988739763671854287795767406791433238293140646206441592863065029101249312460408694687314108734720317371862928947536817998090286642022013777400201470389143551539082451440499021245765399365025273333362799596516347476701649748711650666725124791
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 36 of the certificate chain of a 2,153-digit prime (152 intermediate primes).

Certified number2,153-digit prime
Certificatedownload
Certificate chainshow step 36 of 152

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009078768181 --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":1100000009078768181},"decimal":true,"detail":2}}'