A297305 - OEIS

A297305

Numbers k such that k^4 can be written as a sum of five positive 4th powers.

5, 10, 15, 20, 25, 30, 31, 35, 40, 45, 50, 55, 60, 62, 65, 70, 75, 80, 85, 89, 90, 93, 95, 100, 103, 105, 110, 115, 120, 124, 125, 130, 135, 140, 145, 150, 155, 160, 165, 170, 175, 178, 180, 185, 186, 190, 195, 200, 205, 206, 210, 215, 217, 220, 225, 230, 233

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

COMMENTS

If k is in the sequence, then k*m is in the sequence for every positive integer m.

LINKS

Table of n, a(n) for n=1..57.

Eric Weisstein's World of Mathematics, Diophantine Equation 4th Powers.

EXAMPLE

5^4 = 2^4 + 2^4 + 3^4 + 4^4 + 4^4 (= 625).

31^4 = 10^4 + 10^4 + 10^4 + 17^4 + 30^4 (= 923521).

89^4 = 10^4 + 35^4 + 52^4 + 60^4 + 80^4 (= 62742241).