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Perfect powers that are sums of squares in a three term arithmetic progression

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 نشر من قبل Angelos Koutsianas
 تاريخ النشر 2018
  مجال البحث
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We determine primitive solutions to the equation $(x-r)^2 + x^2 + (x+r)^2 = y^n$ for $1 le r le 5,000$, making use of a factorization argument and the Primitive Divisors Theorem due to Bilu, Hanrot and Voutier.



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