Computing prime factors may sound like an elementary math problem, but try it with a large number, say one that contains more than 600 digits, and the task becomes enormously challenging and ...

Digitally delicate prime numbers become composite with this one weird trick. Math researchers proved these primes exist using the bucket proof method. There are no known examples so far, but ...

Annals of Mathematics, a distinguished journal of research papers in pure mathematics, was founded in 1884. Annals of Mathematics is published bimonthly with the cooperation of Princeton University ...

This is a preview. Log in through your library . Abstract If $a$ is not a multiple of $n$ and $a^{n - 1} \not\equiv 1 \operatorname{mod} n$, then $n$ must be ...