On the last digits of consecutive primes

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Holt, Fred B.;
  • Subject: 11N05, 11A41, 11B75, 11A07 | Mathematics - Number Theory
    arxiv: Mathematics::Number Theory | Mathematics::General Mathematics

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 exactly model the po... View more
  • References (7)

    1. R. Brent, The distribution of small gaps between successive prime numbers, Math. Comp. 28 (1974), 315{324.

    2. G.H. Hardy and J.E. Littlewood, Some problems in 'partitio numerorum' iii: On the expression of a number as a sum of primes, G.H. Hardy Collected Papers, vol. 1, Clarendon Press, 1966, pp. 561{630.

    3. F.B. Holt and H. Rudd, On Polignac's conjecture, arXiv:1402.1970v2, 15 Feb 2014.

    4. F.B. Holt with H. Rudd, Combinatorics of the gaps between primes, arXiv:1510.00743v2, 8 Oct 2015.

    5. Mathematicians discover prime conspiracy, Quanta Magazine, 13 March 2016.

    6. R.J.L. Oliver and K. Soundararajan, Unexpected biases in the distribution of consecutive primes, arXiv:1603.30720, version 2, 15 March 2016.

    Models for g=30 Models for g=420 0.04 0.08

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