A316489 - OEIS

A316489

Positive numbers of the form 8*k + 4 that cannot be expressed as the sum of four distinct odd squares.

4, 12, 20, 28, 36, 44, 52, 60, 68, 76, 92, 100, 108, 124, 132, 148, 172, 188, 220, 268, 292, 388, 412

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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.

LINKS

CROSSREFS

KEYWORD

nonn

AUTHOR

STATUS

approved