On a Binary Diophantine Inequality Involving Prime Numbers

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Abstract

Let 1 < c < 15/14 and N a sufficiently large real number. In this paper we prove that, for all η ∈ (N,2N]\A| A| =0(Nexp(−⅓(L/c)⅕ the inequality |p1C + p2C − η| < η1 − 15/14C L8 has solutions in primes p1,p2≤ N1/c.

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