Perfect Powers that are Sums of Squares of an Arithmetic Progression
Abstract
In this paper, we determine all primitive solutions to the equation (x+r)2 +(x+2r)2 +·s +(x+dr)2 = yn for 2≤ d≤ 10 and for 1≤ r≤ 104. We make use of a factorization argument and the Primitive Divisors Theorem due to Bilu, Hanrot and Voutier.
0
Turn this paper into a lesson
ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.