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 ...

WHILE Paul Nahin is not the first to proclaim the power and beauty of mathematics, few have alluded to the “erotic connection between mathematical insight and sexual orgasm”. A stretch too far, ...