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A389147
Minimum largest of a set of n nonnegative integers such that the difference of any pair is a square.
0
0, 1, 25, 485809
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OFFSET
1,3
COMMENTS
If we include the additional constraint to consider only positive integers, add 1 to each term; thus, 1, 2, 26, 485810, ...
a(5) > 9*10^10.
LINKS
Table of n, a(n) for n=1..4.
Robin Hartshorne and Ronald van Luijk,
Non-Euclidean Pythagorean triples, a problem of Euler, and rational points on K3 surfaces
, arXiv:math/0606700 [math.NT], 2006.
MathOverflow,
Many numbers with pairwise differences squares
.
EXAMPLE
a(1) = 0: {0},
a(2) = 1: {0, 1},
a(3) = 25: {0, 9, 25},
a(4) = 485809: {0, 23409, 34225, 485809} (or even {0, 451584, 462400, 485809}).
CROSSREFS
Cf.
A115040
,
A195854
.
Sequence in context:
A347812
A251362
A196520
*
A228536
A191559
A279039
Adjacent sequences:
A389144
A389145
A389146
*
A389148
A389149
A389150
KEYWORD
nonn
,
hard
,
more
AUTHOR
Marco Ripà
, Sep 24 2025
STATUS
approved