A316489 - OEIS

A316489

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

%I #8 Aug 03 2018 04:31:19

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

%T 292,388,412

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

%C There are no more terms through 10^11. It seems extremely unlikely that any more terms exist.

%C 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.

%C A316834 lists all numbers that can be expressed in only one way as the sum of four distinct odd squares.

%Y Cf. A316834.

%K nonn

%O 1,1

%A _Jon E. Schoenfield_, Jul 27 2018