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The exceptional set for the sum of a prime and a square

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Abstract

Let E(X) denote the number of natural numbers not exceeding X which cannot be written as a sum of a prime and a square. In this paper we show that for sufficiently large X we have E(X)<< X0.982.

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Hongze, L. The exceptional set for the sum of a prime and a square. Acta Mathematica Hungarica 99, 123–142 (2003). https://doi.org/10.1023/A:1024513613734

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  • DOI: https://doi.org/10.1023/A:1024513613734

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