Carmichael's Totient Function Conjecture

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 mn such that φ(m) = φ(n). Robert Carmichael first stated this conjecture 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.

Read more about Carmichael's Totient Function Conjecture:  Examples, Lower Bounds, Other Results

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