Let pn be the n-th prime number and ${x_n} = p_{n + 1}^{n + 1}/p_n^n$. We show that the sequence (xn)n ≥ N is not monotonie for any integer N > 1 and that the series $\sum\limits_{n = 1}^{ + \infty } ...
Mathematicians have been studying the distribution of prime numbers for thousands of years. Recent results about a curious kind of prime offer a new take on how spread out they can be. You may have ...