OFFSET
1,1
COMMENTS
A field or ring is called "Parker" if no 3 X 3 magic square of 9 distinct squared elements can be formed. Conjecture: the sequence is complete.
Example: the fact that p=31 is listed is taken to mean one cannot construct a 3 X 3 magic square of distinct squared elements of the ring of order 31.
LINKS
Onno M. Cain, parker-ring-search SageMath code, Apr 24, 2019.
Onno M. Cain, Gaussian Integers, Rings, Finite Fields and the Magic Square of Squares, arXiv:1908.03236 [math.RA], 2019.
Matt Parker & Brady Haran, The Parker Square, Numberphile video (2016).
CROSSREFS
KEYWORD
nonn
AUTHOR
Michel Marcus, Aug 18 2019
STATUS
approved