# A new algorithm for computing the partial-sums of `ϕ(k)`, for `1 <= k <= n`: # Sum_{k=1..n} phi(k) # where phi(k) is the Euler totient function. # Based on the ...

In this paper, we show that when\(N_k\) is a primorial and \(\varphi(N_k)\)is Euler’s totient function, the inequality \(\varphi(N_k) < \frac{N_k}{e^{\gamma}\log ...

In this paper, an attempt is made to apply the Euler's Totient function and Euler's theorem to organizing calculations of the period of the modular exponentiation function inspired by Shor's quantum ...

# Input the number for which you want to calculate Euler's Totient Function n = int(input("Enter a positive integer (n) to calculate Euler's Totient Function: ")) ...

The Monthly publishes articles, as well as notes and other features, about mathematics and the profession. Its readers span a broad spectrum of mathematical interests, and include professional ...

This is a preview. Log in through your library . Abstract Carmichael's conjecture states that if φ(x) = n, then φ(y) = n for some y ≠ x (φ is Euler's totient function). We show that the conjecture is ...