4 problems

In dreidel, players begin with equal token holdings, contribute one token each to a common pot, and take turns spinning a four-sided top. A spin results in Nisht, which does nothin…

Let $m \leq n$ be positive integers. Write $P(m,n)$ for the set of primes relevant to the $m \times n$ grid, let $\gamma(m,n)$ denote its gap, and let $K(m,n)$ be the total number…

Let $\Psi=(L\cup R,E,\Sigma_L,\Sigma_R,\Phi)$ be a Rich $2$-to-$1$ Games instance with $|\Sigma_L|=n$ and $|\Sigma_R|=n/2$. For each $u\in L$, the distribution of partitions of…

Dreidel conjecture. The average number of spins is approximately