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math.NT 1

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2026 1

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An Efficient Algorithm for Estimating Prime Counts

math.NT · 2026-06-30 · unverdicted · novelty 3.0

An incremental O(√x) algorithm estimates π(x) via generalized triangular number partitions and a numerically fitted correction term that matches known values up to 10^19.

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  • An Efficient Algorithm for Estimating Prime Counts math.NT · 2026-06-30 · unverdicted · none · ref 7

    An incremental O(√x) algorithm estimates π(x) via generalized triangular number partitions and a numerically fitted correction term that matches known values up to 10^19.