Carmichael's totient function conjecture
id:
carmichael-s-totient-function-conjecture-263-6065787
title:
Carmichael's totient function conjecture
text:
In mathematics, Carmichael's totient function conjecture concerns the multiplicity of values of Euler's totient function φ(n), which counts the number of integers less than and coprime to n. It states that, for every n there is at least one other integer m ≠ n such that φ(m) = φ(n).
Robert Carmichael first stated this conjecture in 1907, but as a theorem rather than as a conjecture. However, his proof was faulty, and in 1922, he retracted his claim and stated the conjecture as an open problem.
brand slug:
wiki
category slug:
encyclopedia
description:
Problem in number theory on equal totients
original url:
https://en.wikipedia.org/wiki/Carmichael%27s_totient_function_conjecture
date created:
date modified:
2024-03-27T17:54:00Z
main entity:
{"identifier":"Q5043655","url":"https://www.wikidata.org/entity/Q5043655"}
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fields total:
13
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