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Book Review
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Book Information
Author(s):
Paulo Ribenboim
Title:
The book of prime number records
Additional book information:
Springer-Verlag, New York, Berlin, Heidelberg, 1988, xxiii + 476 pp., $49.80. ISBN 0-387-96573-4
References:
- 1.
- R. P. Brent and G. L. Cohen, A new lower bound for odd perfect numbers, Math. Comp. 53 (1989). MR 968150
- 2.
- J. Brillhart, D. H. Lehmer, J. L. Selfridge, B. Tuckerman and S. S. Wagstaff, Jr., Factorizations of b ± 1, b = 2, 3, 5, 6, 7, 10, 11, 12, up to high powers, Contemporary Math., vol. 22, Amer. Math. Soc., Providence, R. I., 1983; second edition 1988. MR 996414
- 3.
- J. R. Chen, On the least prime in an arithmetical progression and theorems concerning the zeros of Dirichet's L-function. II, Sci. Sinica 22 (1979), 859-889. MR 549597
- 4.
- H. Dubner, Factorial and primorial primes, J. Recr. Math. 19 (1987), 197-203.
- 5.
- P. D. T. A. Elliott and H. Halberstam, The least prime in an arithmetic progression, Studies in Pure Mathematics (R. Rado, ed. ) Academic Press, London, 1971, pp. 59-61. MR 272728
- 6.
- J. C. Lagarias, V. S. Miller and A. M. Odlyzko, Computing $\pi(x)$: the Meissel-Lehmer method, Math. Comp. 44 (1985), 537-560. MR 777285
- 7.
- D. N. Lehmer, List of prime numbers from 1 to 10, 006, 721, reprinted by Hafner, New York, 1956.
- 8.
- D. Shanks, Solved and unsolved problems in number theory, Spartan, Washington, 1962; second edition by Chelsea, New York, 1978; third edition by Chelsea, Bronx, 1985. MR 516658
- 9.
- J. van de Lune, H. J. J. te Riele and D. T. Winter, On the zeros of the Riemann zeta function in the critical strip. IV, Math. Comp. 47 (1986), 667-681. MR 829646
- 10.
- J. Young and A. Potler, First occurrence prime gaps, Math. Comp. 52 (1989), 221-224. MR 947470
Additional Information:
Reviewer(s):
S. S.
Wagstaff
Jr.
Review Information:
Journal:
Bull. Amer. Math. Soc.
21
(1989),
365-369.
DOI:
10.1090/S0273-0979-1989-15866-7
PII:
S 0273-0979(1989)15866-7
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