Algorithms for the Multiplication Table Problem
2019
We present several algorithms for computing $M(n)$, the function that counts the number of distinct products in an $n\times n$ multiplication table. In particular, we consider their run-times and space bounds for single evaluation, tabulation, and Monte-Carlo estimation. We give the result of exact computations up to $n = 2^{30}-1$ and Monte Carlo computations for larger $n$.
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