Abstract.
In this short note we prove that if 1 < c < 81/40, c ≠ 2, N is a large real number, then the Diophantine inequality \( \vert p_1^c+p_2^c+p_3^c+p_4^c+p_5^c-N\vert < \log^{-1} N \) is solvable, where p 1,···,p 5 are primes.
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Zhai, W., Cao, X. On a Diophantine Inequality Over Primes (II). Mh Math 150, 173–179 (2007). https://doi.org/10.1007/s00605-005-0390-4
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DOI: https://doi.org/10.1007/s00605-005-0390-4