36

Sur la distribution des nombres premiers
– J E Littlewood
 1869

133

Some problems on partitio numerorum III : On the expression of a number as a sum of primes
– J Littlewood
 1923

58

A heuristic asymptotic formula concerning the distribution of prime numbers
– Paul T Bateman, Roger A Horn
 1962

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

247

Analytic Number Theory
– Henryk Iwaniec, Emmanuel Kowalski, Eth Zrich

21

Small difference between prime
– E Bombieri, H Davenport
 1966

44

On the order of magnitude of the difference between consecutive prime numbers
– H Cramér
 1936

19

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 tot10tot.csv
– F J van
 2007

2

Prime pairs and the zeta function
– J Korevaar

2

Enumeration of the twinprime 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 Article posted May 26, 2004; withdrawn June 9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
