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A297305 Numbers k such that k^4 can be written as a sum of five positive 4th powers. 1
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).

  103^4 =  4^4 + 15^4 + 50^4 + 50^4 + 100^4 (= 112550881).

CROSSREFS

Cf. A000583, A003294, A023042, A301601.

Sequence in context: A313731 A313732 A306236 * A182340 A313733 A076311

Adjacent sequences:  A297302 A297303 A297304 * A297306 A297307 A297308

KEYWORD

nonn

AUTHOR

Seiichi Manyama, Mar 16 2018

EXTENSIONS

a(43)-a(57) from Jon E. Schoenfield, Mar 17 2018

STATUS

approved

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Last modified June 24 04:38 EDT 2019. Contains 324318 sequences. (Running on oeis4.)