D.Phil. thesis by Jan Kristian Haugland Title: Application of Sieve Methods to Prime Numbers Category: Pure mathematics (analytic number theory) Where and when: University of Oxford, 1998 Introduction Main part Both main results have since been improved upon by others; confer these papers: Jia Chaohua and Ming-Chit Liu, On the largest prime factor of integers, Acta Arith. 95(2000), 17–48.     Jie Wu, Chen's double sieve, Goldbach's conjecture and the twin prime problem, Acta Arith. 114(2004), 215–273.     Priority Peter says...