Prime Number Races

by Andrew Granville , Greg Martin
Venue:Amer. Math. Monthly
Citations:13 - 1 self

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38 la distribution des nombres premiers – J E Littlewood, Sur
58 A heuristic asymptotic formula concerning the distribution of prime numbers,Math – P Bateman, R Horn - 1963
133 Some problems of ‘Partitio Numerorum’ III: On the expression of a number as a sum of primes – G H Hardy, J E Littlewood - 1922
17 A new bound for the smallest x with π(x – C Bays, R H Hudson
13 Irregularities in the distribution of primes and twin primes – R P Brent - 1975
246 Analytic Number Theory – Henryk Iwaniec, Emmanuel Kowalski, Eth Zrich
21 Small difference between prime – E Bombieri, H Davenport - 1966
45 On the order of magnitude of the differences between consecutive prime numbers – H Cramer - 1936
20 Harald Cramér and the distribution of prime numbers – Andrew Granville - 1995
5 Comparative prime number theory – S Knapowski, P Turán - 1962
2 Chebyshev’s conjecture and the prime number race. IV International Conference ”Modern Problems of Number Theory and its Applications”: Current Problems – K Ford, S Konyagin - 2002
2 P.T.BatemanandR.A.Horn,Primes represented by irreducible polynomials in one variable – Math Soc, R I Providence - 1965
2 de Bult, Counts of prime pairs. Private communication including spreadsheet attachment tot10-tot.csv – F J van - 2007
2 Prime pairs and the zeta function – J Korevaar
2 Enumeration of the twin-prime pairs to 10 16 . See the internet – T R Nicely - 2008
2 te Riele, On the sign of the difference π(x)−li(x – H J J - 1987
2 An analog of the Skewes number for twin primes. Undated attachment to private communication – Marek Wolf - 2008
10 Some singular series averages and the distribution of Goldbach numbers in short intervals – J B Friedlander, D A Goldston - 1995
3 There are infinitely many prime twins’, available on the Internet at http://arxiv.org/abs/math/0405509v1. Article posted May 26, 2004; withdrawn June 9 – R F Arenstorf - 2004