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math.GM2021
Cycles and Patterns in the Sieve of Eratosthenes, Potential Twin Primes
George F. Grob
This paper analyzes the emergence and distribution of potential twin primes, pairs of integers that are both relatively prime to the first n primes or to a given set M of primes, a…
math.GM2019
Cycles and Patterns in the Sieve of Eratosthenes
George Grob, Matthias Schmitt
We describe recurring patterns of numbers that survive each wave of the Sieve of Eratosthenes, including symmetries, uniform subdivisions, and quantifiable, predictive cycles that…