Bulletin of the American Mathematical Society

---

MR: 0424730 (54 #12689)
H. Halberstam and H.-E. Richert
Sieve methods.
London Mathematical Society Monographs, Academic Press $[$A subsidiary of Harcourt Brace Jovanovich, Publishers\/$]$, London--New York, no. 4, 1974, xiv+364 pp.
Reviewed by: J. W. Porter

---

MR: 0834613 (88b:11058)
E. Bombieri, J. B. Friedlander and H. Iwaniec
Primes in arithmetic progressions to large moduli.
Acta Mathematica 156, (1986), no. 3-4, 203–251
Reviewed by: D. R. Heath-Brown

---

MR: 2265008 (2007k:11150)
K. Soundararajan
Small gaps between prime numbers: the work of Goldston-Pintz-Yıldırım.
Bulletin of the American Mathematical Society (New Series) 44, (2007), no. 1, 1–18
Reviewed by: D. R. Heath-Brown

---

MR: 2552109; 2011c:11146
Daniel A. Goldston, János Pintz and Cem Y. Yıldırım
Primes in tuples. I.
Annals of Mathematics (2) 170, (2009), no. 2, 819–862
Reviewed by: S. W. Graham