MathDB

Problem 3 of First round

Source: XI International Festival of Young Mathematicians Sozopol 2022, Theme for 11-12 grade

September 9, 2022

number theoryprime numbers

Problem Statement

Let

p_1,p_2,\dots ,p_n

be all prime numbers lesser than

2^{100}

. Prove that

\frac{1}{p_1} +\frac{1}{p_2} +\dots +\frac{1}{p_n} <10