%0 Journal Article %T Generalizations of an Ancient Greek Inequality about the Sequence of Primes %A Shaohua Zhang %J Mathematics %D 2009 %I arXiv %X In this note, we generalize an ancient Greek inequality about the sequence of primes to the cases of arithmetic progressions even multivariable polynomials with integral coefficients. We also refine Bouniakowsky's conjecture [16] and Conjecture 2 in [22]. Moreover, we give two remarks on conjectures in [22] %U http://arxiv.org/abs/0909.2064v2