FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2002, VOLUME 8, NUMBER 1, PAGES 85-96

On the sum of squares of five prime numbers one of which belongs to an arithmetic progression

M. B. S. Laporta
D. I. Tolev

Abstract

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We study the equation

N=p12+p22+p32+p42+p52,

where p1, p2, p3, p4, p5 are prime numbers, p1+2 º 0(mod k), (k,2)=1, and N º 5(mod 24).

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