On Sets of Integers where Each Pair Sums to a Square

Details On Sets of Integers where Each Pair Sums to a Square On Sets of Integers where Each Pair Sums to a Square

2009-09-09

arxiv.org/abs/0909.1666v1

Mathematics

Number Theory

Scientific paper

We discuss the problem of finding distinct integer sets $\{x_1,x_2,...,x_n\}$ where each sum $x_i+x_j, i \ne j$ is a square, and $n \le 7$. We confirm minimal results of Lagrange and Nicolas for $n=5$ and for the related problem with triples. We provide new solution sets for $n=6$ to add to the single known set. This provides new information for problem D15 in Guy's {\it Unsolved Problems in Number Theory}

Affiliated with

Also associated with

No associations

Rating

On Sets of Integers where Each Pair Sums to a Square does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On Sets of Integers where Each Pair Sums to a Square, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On Sets of Integers where Each Pair Sums to a Square will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-385881