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arxiv: 0909.2064 · v2 · submitted 2009-09-11 · 🧮 math.GM

Generalizations of an Ancient Greek Inequality about the Sequence of Primes

classification 🧮 math.GM
keywords ancientconjecturegreekinequalityprimessequencearithmeticbouniakowsky
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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]

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