2 citations · 7 across the 19 of their papers we have counts for
19 papers
Discrete dynamics of Eratosthenes sieve
Fred B. Holt
We study Eratosthenes sieve as a discrete dynamic system. At each stage of the sieve there is a cycle of gaps of length and span . There is a r…
On nonconvex constellations among primes II: (458,3240)
Fred B. Holt
Extending our work on the -tuple conjecture, we previously applied those methods to the Engelsma counterexamples (narrow constellations) of length and span . H…
On nonconvex constellations among primes I
Fred B. Holt
Extending our work on the -tuple conjecture, we apply those methods to the Engelsma counterexamples (narrow constellations) of length and span . We track the e…
An Cell-Probe Lower Bound for Dynamic Boolean Data Structures
Young Kun Ko
We resolve the long-standing open problem of Boolean dynamic data structure hardness, proving an unconditional lower bound of for the Multiphase Problem…
Eratosthenes sieve supports the -tuple conjecture
Fred B. Holt
Viewing Eratosthenes sieve as a discrete dynamic system, we show that every admissible instance of every admissible constellation of gaps arises and persists in Eratosthenes sieve.…
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…