# It can be seen that the blue (primes) form a straight line on top. # This is because phi(prime) = prime - 1. This is the maximum phi function output for any natural ...

# 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 ...

At the end of the last century, an innovative two-key cryptosystem called RSA was created due to booming demand for secure remote communication. The core for this encryption system is a mathematical ...

Abstract: 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 ...