Geodesic
On~the exceptional set for the sum of a~prime and a~perfect square
Izvestiya. Mathematics , Tome 19 (1982) no. 3, pp. 611-641

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A new theorem is obtained on the mean value of the number of representations of natural numbers $n$ as the sum of a prime and a perfect square, from which it is deduced that there are at most $Ne^{-a\sqrt{\log N}}$, $a>0$, natural numbers $n\leqslant N$ not representable as such a sum. Bibliography: 17 titles. 
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     title = {On~the exceptional set for the sum of a~prime and a~perfect square},
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I. V. Polyakov. On~the exceptional set for the sum of a~prime and a~perfect square. Izvestiya. Mathematics , Tome 19 (1982) no. 3, pp. 611-641. http://geodesic.mathdoc.fr/item/IM2_1982_19_3_a5/