On the density of sequences of integers the sum of no two of which is a square. I: Arithmetic progressions. (English) Zbl 0489.10052
Online Encyclopedia of Integer Sequences:
a(n) = 3*n + 1.Consider all n-tuples of distinct positive integers for which no two different elements add up to a square. This sequence gives the smallest maximal integer in such tuples.
Numbers x satisfying x == 1 (mod 4) or x == 14, 26, 30 (mod 32).
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