Paper 2, Section I, FNumber Theory | Part II, 2014Show that∑p⩽x1p⩾loglogx−12\sum_{p \leqslant x} \frac{1}{p} \geqslant \log \log x-\frac{1}{2}p⩽x∑p1⩾loglogx−21Deduce that there are infinitely many primes.Typos? Please submit corrections to this page on GitHub.