Some Equivalent Forms of Bernoulli’s Inequality: A Survey

The main purpose of this paper is to link some known inequalities which are equivalent to Bernoulli’s inequality.

The Exceptional Set in the Two Prime Squares and a Prime Problem

In this paper we prove that, with at most O（N^5/12＋ε） exceptions, all positive odd integers n ≤ N with n ≡ 0 or 1（mod 3） can be written as a sum of a prime and two squares of primes.