Abstract.
Let N be any sufficiently large positive integer satisfying the congruence condition \( N\equiv 5(\bmod \,24) \). It is shown that there exists a \( \delta \ge 0 \) such that N can be written as¶¶\(\Biggl\{\matrix {N = p_1^2+ p_2^2+ p_3^2+ p_4^2+ p_5^2,\cr \Bigl|p_j-\sqrt {N\over 5}\Bigr|\leq U, j=1,2,3,4,5,\cr}\)¶¶ where the p i are prime numbers and U is chosen as \( U = N^{{1 \over 2}-\delta } \).
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Received: 3.6.1996
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Bauer, C. A note on sums of five almost equal prime squares. Arch. Math. 69, 20–30 (1997). https://doi.org/10.1007/s000130050089
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DOI: https://doi.org/10.1007/s000130050089