Book Review

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Book Information:

Author: 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.

**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**

Review Information:

Reviewer: S. S. Wagstaff, Jr.

Journal: Bull. Amer. Math. Soc.

**21**(1989), 365-369

DOI: https://doi.org/10.1090/S0273-0979-1989-15866-7