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Computational Number Theory is for explicit calculations or algorithms involving anything of interest to number theorists.

11 votes
1 answer
491 views

$p$-adic sums of $p$ terms

My question is inspired by this riddle: Let $p \geq 5$ be prime, and let $$ 1 + \frac 1 2 + \frac 1 3 + \dots + \frac 1 {p-1} = \frac a b $$ where $a/b$ is the fraction expressed in lowest terms. Sh …
Itai Bar-Natan's user avatar
4 votes
Accepted

Determining if a number is k-rough without factoring

First of all, I don't think you should dismiss searching for a prime factor as a method for determining whether a number is $k$-rough. The Elliptic Curve Method (ECM) is a prime factorization algorith …
Itai Bar-Natan's user avatar