On the incompatibility of two conjectures concerning primes; A discussion of the use of computers in attacking a theoretical problem

Bulletin of the American Mathematical Society

Volumn 80, Issue 3, 1974, Pages 419-438

  Richards, Ian ^a  

^a UNIVERSITY OF MINNESOTA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84968496211     PISSN: 02730979     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0002-9904-1974-13434-8     Document Type: Article

References (11)

1. P. Erdös, On the difference of consecutive primes, Quart. J. Math. Oxford Ser. 6 (1935), 124-128.
2. P. Erdös, Some unsolved problems, Michigan Math. J. 4 (1957), 291-300. MR 20 #5157.
3. P. Erdös and J. L. Selfridge, Complete prime subsets of consecutive integers, Proc. Manitoba Conf. on Numerical Mathematics, University of Manitoba, Winnepeg, 1971, pp. 1-14.
4. 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), 1-70.
5. D. Hensley and I. Richards, Primes in intervals, Acta Arith. 25 (1974), 375-391.
6. A. E. Ingham, The distribution of prime numbers, Cambridge Tracts in Math, and Math. Phys., no. 30, Stechert-Hafner, New York, 1964. MR 32 #2391.
7. D. H. Lehmer, Computer technology applied to the theory of numbers, Studies in Number Theory, Math. Assoc. Amer. (distributed by Prentice-Hall, Englewood Cliffs, N. J. ), 1969, pp. 117-151. MR 40 #84.
8. R. A. Rankin, The difference between consecutive prime numbers, J. London Math. Soc. 13 (1938), 242-247.
9. A. Schinzel, Remarks on the paper ’Sur certaines hypothèses concernant les nombres premiers’, Acta Arith. 7 (1961/62), 1-8. MR 24 #A70.
10. A. Schinzel and W. Sierpiński, Sur certaines hypothèses concernant les nombres premiers, Acta Arith. 4 (1958), 185-208; erratum 5 (1959), 259. MR 21 #4936.
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.