Book Review

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MathSciNet review: 1567820

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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.

*A new lower bound for odd perfect numbers*, Math. Comp.

**53**(1989), no. 187, 431–437, S7–S24. MR

**968150**, DOI 10.1090/S0025-5718-1989-0968150-2

*Factorizations of $b^n \pm 1$*, 2nd ed., Contemporary Mathematics, vol. 22, American Mathematical Society, Providence, RI, 1988. $b=2,3,5,6,7,10,11,12$ up to high powers. MR

**996414**, DOI 10.1090/conm/022

*On the least prime in an arithmetical progression and theorems concerning the zeros of Dirichlet’s $L$-functions. II*, Sci. Sinica

**22**(1979), no. 8, 859–889. MR

**549597**

**4.**

*Factorial and primorial primes*, J. Recr. Math. 19 (1987), 197-203.

*The least prime in an arithmetic progression*, Studies in Pure Mathematics (Presented to Richard Rado), Academic Press, London, 1971, pp. 59–61. MR

**0272728**

*Computing $\pi (x)$: the Meissel-Lehmer method*, Math. Comp.

**44**(1985), no. 170, 537–560. MR

**777285**, DOI 10.1090/S0025-5718-1985-0777285-5

**7.**

*List of prime numbers from*1

*to*10, 006, 721, reprinted by Hafner, New York, 1956.

*Solved and unsolved problems in number theory*, 2nd ed., Chelsea Publishing Co., New York, 1978. MR

**516658**

*Corrigenda: “On the zeros of the Riemann zeta function in the critical strip. II” [Math. Comp. 39 (1982), no. 160, 681–688; MR0669660 (83m:10067)] by R. P. Brent, J. van de Lune, te Riele and D. T. Winter*, Math. Comp.

**46**(1986), no. 174, 771. MR

**829646**, DOI 10.1090/S0025-5718-1986-0829646-4

*First occurrence prime gaps*, Math. Comp.

**52**(1989), no. 185, 221–224. MR

**947470**, DOI 10.1090/S0025-5718-1989-0947470-1

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