Lucas–Carmichael number
id:
lucas-carmichael-number-270-13121438
title:
Lucas–Carmichael number
text:
In mathematics, a Lucas–Carmichael number is a positive composite integer n such that if p is a prime factor of n, then p + 1 is a factor of n + 1;
n is odd and square-free. The first condition resembles the Korselt's criterion for Carmichael numbers, where -1 is replaced with +1. The second condition eliminates from consideration some trivial cases like cubes of prime numbers, such as 8 or 27, which otherwise would be Lucas–Carmichael numbers (since n3 + 1 = (n + 1)(n2 − n + 1) is always divisi
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wiki
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encyclopedia
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original url:
https://en.wikipedia.org/wiki/Lucas%E2%80%93Carmichael_number
date created:
date modified:
2023-10-22T19:15:02Z
main entity:
{"identifier":"Q507937","url":"https://www.wikidata.org/entity/Q507937"}
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13
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