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pro vyhledávání: '"Holt, Fred B."'
Autor:
Holt, Fred B.
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 evolution of the populations of various gaps across stages of Eratosthenes s
Externí odkaz:
http://arxiv.org/abs/2405.03540
Autor:
Holt, Fred B.
We have shown previously that at each stage of Eratosthenes sieve there is a corresponding cycle of gaps $\mathcal{G}(p_0^\#)$. We can view these cycles of gaps as a discrete dynamic system, and from this system we can obtain exact models for the pop
Externí odkaz:
http://arxiv.org/abs/2309.16833
Autor:
Holt, Fred B.
The p-rough numbers are those numbers all of whose prime factors are greater than p. These are exactly those numbers left after Eratosthenes sieve has been advanced from 2 through the prime p. Here we show that for fixed p there is a line of symmetry
Externí odkaz:
http://arxiv.org/abs/2308.07570
Autor:
Holt, Fred B.
Recently Oliver and Soundararajan made conjectures based on computational enumerations about the frequency of occurrence of pairs of last digits for consecutive primes. By studying Eratosthenes sieve, we have identified discrete dynamic systems that
Externí odkaz:
http://arxiv.org/abs/1604.02443
Autor:
Holt, Fred B.
A few years ago we identified a recursion that works directly with the gaps among the generators in each stage of Eratosthenes sieve. This recursion provides explicit enumerations of sequences of gaps among the generators, which sequences are known a
Externí odkaz:
http://arxiv.org/abs/1510.00743
Autor:
Holt, Fred B.
A few years ago we identified a recursion that works directly with the gaps among the generators in each stage of Eratosthenes sieve. This recursion provides explicit enumerations of sequences of gaps among the generators, which sequences are known a
Externí odkaz:
http://arxiv.org/abs/1503.00231
Autor:
Holt, Fred B.
In 2010 Santos described the construction of a counterexample to the Hirsch conjecture, and in 2012 Santos and Weibel provided the coordinates for the 40 facets of a 20-dimensional counterexample. In this paper we explore technical details of the con
Externí odkaz:
http://arxiv.org/abs/1501.02517
Autor:
Holt, Fred B., Rudd, Helgi
A few years ago we identified a recursion that works directly with the gaps among the generators in each stage of Eratosthenes sieve. This recursion provides explicit enumerations of sequences of gaps among the generators, which sequences are known a
Externí odkaz:
http://arxiv.org/abs/1408.6002
Autor:
Holt, Fred B., Rudd, Helgi
A few years ago we identified a recursion that works directly with the gaps among the generators in each stage of Eratosthenes sieve. This recursion provides explicit enumerations of sequences of gaps among the generators, which are known as constell
Externí odkaz:
http://arxiv.org/abs/1402.1970
Autor:
Holt, Fred B., Rudd, Helgi
A few years ago we identified a recursion that works directly with the gaps among the generators in each stage of Eratosthenes sieve. This recursion provides explicit enumerations of sequences of gaps among the generators, which are known as constell
Externí odkaz:
http://arxiv.org/abs/1312.7569