Carmichael's theorem
id:
carmichael-s-theorem-265-7106455
title:
Carmichael's theorem
text:
In number theory, Carmichael's theorem, named after the American mathematician R. D. Carmichael,
states that, for any nondegenerate Lucas sequence of the first kind Un(P, Q) with relatively prime parameters P, Q and positive discriminant, an element Un with n ≠ 1, 2, 6 has at least one prime divisor that does not divide any earlier one except the 12th Fibonacci number F(12) = U12(1, −1) = 144 and its equivalent U12(−1, −1) = −144. In particular, for n greater than 12, the nth Fibonacci number F(
brand slug:
wiki
category slug:
encyclopedia
description:
On prime divisors in Fibonacci and Lucas sequences
original url:
https://en.wikipedia.org/wiki/Carmichael%27s_theorem
date created:
date modified:
2023-01-19T00:34:07Z
main entity:
{"identifier":"Q3889376","url":"https://www.wikidata.org/entity/Q3889376"}
image:
fields total:
13
integrity:
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