Let $p$ be a prime. What is the probability that a number of the form $\left \lceil \frac{p^2}{2} \right \rceil$ divides a random positive integer $n$. I have a solution that involves the Riemann-Zeta Function. However, I think that is overkill as the answer is rational. Does anyone have a more appropriate solution?
2026-04-04 13:49:31.1775310571
Probability number is divisible by half the square of a prime?
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