On the incompatibility of two conjectures concerning primes; a discussion of the use of computers in attacking a theoretical problem
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- by Ian Richards PDF
- Bull. Amer. Math. Soc. 80 (1974), 419-438
References
-
1. P. Erdös, On the difference of consecutive primes, Quart. J. Math. Oxford Ser. 6 (1935), 124-128.
- Paul Erdős, Some unsolved problems, Michigan Math. J. 4 (1957), 291–300. MR 98702
- P. Erdős and J. L. Selfridge, Complete prime subsets of consecutive integers, Proceedings of the Manitoba Conference on Numerical Mathematics (Univ. Manitoba, Winnipeg, Man., 1971) Dept. Comput. Sci., Univ. Manitoba, Winnipeg, Man., 1971, pp. 1–14. MR 0337828
- G. H. Hardy and J. E. Littlewood, Some problems of ‘Partitio numerorum’; III: On the expression of a number as a sum of primes, Acta Math. 44 (1923), no. 1, 1–70. MR 1555183, DOI 10.1007/BF02403921
- Douglas Hensley and Ian Richards, Primes in intervals, Acta Arith. 25 (1973/74), 375–391. MR 396440, DOI 10.4064/aa-25-4-375-391
- A. E. Ingham, The distribution of prime numbers, Cambridge Tracts in Mathematics and Mathematical Physics, No. 30, Stechert-Hafner, Inc., New York, 1964. MR 0184920
- D. H. Lehmer, Computer technology applied to the theory of numbers, Studies in Number Theory, Math. Assoc. America, Buffalo, N.Y.; distributed by Prentice-Hall, Englewood Cliffs, N.J., 1969, pp. 117–151. MR 0246815 8. R. A. Rankin, The difference between consecutive prime numbers, J. London Math. Soc. 13 (1938), 242-247.
- A. Schinzel, Remarks on the paper “Sur certaines hypothèses concernant les nombres premiers”, Acta Arith. 7 (1961/62), 1–8. MR 130203, DOI 10.4064/aa-7-1-1-8
- A. Schinzel and W. Sierpiński, Sur certaines hypothèses concernant les nombres premiers, Acta Arith. 4 (1958), 185–208; erratum 5 (1958), 259 (French). MR 106202, DOI 10.4064/aa-4-3-185-208 11. E. Westzynthius, Über die Verteilung der Zahlen, die zu den n ersten Primzahlen teilerfremd sind, Comm. Phys. Math. Helsingfors (5) 25 (1931), 1-37.
Additional Information
- Journal: Bull. Amer. Math. Soc. 80 (1974), 419-438
- MSC (1970): Primary 10H15, 10H30, 10-01
- DOI: https://doi.org/10.1090/S0002-9904-1974-13434-8
- MathSciNet review: 0337832