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

Offset: 1

Author

Jon E. Schoenfield, Jul 27 2018

Keywords

• nonn

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.