English

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

Number Theory 2018-02-22 v1

Abstract

We determine primitive solutions to the equation (xr)2+x2+(x+r)2=yn(x-r)^2 + x^2 + (x+r)^2 = y^n for 1r5,0001 \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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Cite

@article{arxiv.1802.07485,
  title  = {Perfect powers that are sums of squares in a three term arithmetic progression},
  author = {Angelos Koutsianas and Vandita Patel},
  journal= {arXiv preprint arXiv:1802.07485},
  year   = {2018}
}

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6 pages