References for: Prime numbers


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  1. B C Berndt, Ramanujan and the theory of prime numbers, Number theory Madras 1987 (Berlin, 1989), 122-139.
  2. V N Chubarikov, Problems in prime number theory that are related to classical theorems of P L Chebyshev, Moscow Univ. Math. Bull. 46 (5) (1991), 15-19.
  3. H Cohen, Les nombres premiers, La recherche 26 (278) (1995.), 760-765.
  4. L E Dickson, History of the Theory of Numbers (3 volumes) (New York, 1919-23, reprinted 1966).
  5. U Dudley, Formulas for primes, Math. Mag. 56 (1) (1983), 17-22.
  6. U Dudley, History of a formula for primes, Amer. Math. Monthly 76 (1969), 23-28.
  7. J Echeverria, Observations, problems and conjectures in number theory-the history of the prime number theorem, in The space of mathematics (Berlin, 1992), 230-252.
  8. L J Goldstein, A history of the prime number theorem, Amer. Math. Monthly 80 (1973), 599-615.
  9. A Granville, Harald Cramér and the distribution of prime numbers, Harald Cramér Symposium, Scand. Actuar. J. (1) (1995), 12-28.
  10. S Das Gupta, The story of prime number, Ganita Bharati 16 (1-4) (1994), 37-52.
  11. F Ischebeck, Primzahlfragen und ihre Geschichte, Math. Semesterber. 40 (2) (1993), 121-132.
  12. F Manna, The Pentathlos of ancient science, Eratosthenes, first and only one of the 'primes' (Italian), Atti Accad. Pontaniana (N.S.) 35 (1986), 37-44.
  13. L E Mauistrov, Prime values of the polynomial x2+x+41 (Russian), Istor.-Mat. Issled. 27 (1983), 63-67.
  14. O Ore, Number Theory and Its History (1948, reprinted 1988).
  15. J Pintz, On Legendre's prime number formula, Amer. Math. Monthly 87 (9) (1980), 733-735.
  16. P Ribenboim, The little book of big primes (New York, 1991).
  17. P Ribenboim, The book of prime number records (New York-Berlin, 1989).
  18. W Schwarz, Some remarks on the history of the prime number theorem from 1896 to 1960, in Development of mathematics 1900-1950 (Basel, 1994), 565-616.
  19. R de La Taille, Nombres premiers : 2000 ans de recherche, Science et vie 838 (1987), 16-20, 146.
  20. H S Uhler, A brief history of the investigations on Mersenne numbers and the latest immense primes, Scripta Math. 18 (1952), 122-131.
  21. A Weil, Number Theory: An Approach Through History from Hammurapi to Legendre (1984).

JOC/EFR May 2009

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