2 problems

Consecutive-sum conjecture. A natural number is a sum of consecutive integers if and only if it is not a power of $2$. This characterizes exactly which natural numbers admit a repr…

Let $n$ be a natural number greater than $23$. A prime power is a number $P^k$ where $P$ is prime and $k\geq 2$ is an integer. Main conjecture on limited prime power sums. Every na…