Fred B. Holt

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20142024

most citedEratosthenes sieve and the gaps between primes

1 citations · 1 across the 3 of their papers we have counts for

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math.GM2024

Expected biases in the distribution of consecutive primes

Fred B. Holt

In 2016 Lemke Oliver and Soundararajan examined the gaps between the first hundred million primes and observed biases in their distributions modulo 10. Given our work on the evolut…

math.GM2023

Models for gaps $g = 2 p_{1}$

Fred B. Holt

We have shown previously that at each stage of Eratosthenes sieve there is a corresponding cycle of gaps $G (p_{0}^{#})$ . We can view these cycles of gaps as a discrete dynam…

Expected biases in the distribution of consecutive primes

Models for gaps g=2p1​

Models for gaps $g = 2 p_{1}$