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math.NT2024
An algorithm and computation to verify Legendre's Conjecture up to
Jonathan Sorenson, Jonathan Webster
We state a general purpose algorithm for quickly finding primes in evenly divided sub-intervals. Legendre's conjecture claims that for every positive integer , there exists a pr…
math.NT2024
Advances in Tabulating Carmichael Numbers
Andrew Shallue, Jonathan Webster
We report that there are Carmichael numbers less than which is an order of magnitude improvement on Richard Pinch's prior work. We find Carmichael numbers of t…