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A316489
Positive numbers of the form 8*k + 4 that cannot be expressed as the sum of four distinct odd squares.
2
4, 12, 20, 28, 36, 44, 52, 60, 68, 76, 92, 100, 108, 124, 132, 148, 172, 188, 220, 268, 292, 388, 412
OFFSET
1,1
COMMENTS
There are no more terms through 10^11. It seems extremely unlikely that any more terms exist.
Every odd square is a number of the form 8*k + 1, so every sum of four odd squares is a number of the form 8*k + 4.
A316834 lists all numbers that can be expressed in only one way as the sum of four distinct odd squares.
CROSSREFS
Cf. A316834.
Sequence in context: A328304 A031065 A017113 * A081770 A062876 A301098
KEYWORD
nonn
AUTHOR
Jon E. Schoenfield, Jul 27 2018
STATUS
approved