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This topic has appeared in the English Wikipedia rankings 1 time. It first appeared on 2026-08-06 and was most recently seen on 2026-08-06.
In mathematics, Carmichael's totient function conjecture concerns the multiplicity of values of Euler's totient function , which counts the number of integers less than and coprime to . It states that, for every there is at least one other integer such that .
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.
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