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A063922 Numbers k such that k^5 = a^5 + b^5 + c^5 + d^5 + e^5 has a nontrivial solution in nonnegative integers. 6
72, 94, 107, 144, 188, 214, 216, 282, 288, 321, 360, 365, 376, 415, 427, 428, 432, 435, 470, 480, 503, 504, 530, 535, 553, 564, 575, 576, 642, 648, 650, 658, 700, 703, 716, 720, 729, 730, 744, 749, 752, 764, 792, 804, 830, 846, 848, 851, 854, 856, 864, 870 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Any multiple of a term is again a term of this sequence. See A063923 for the primitive solutions. See A007666 for similar solutions for other powers. - M. F. Hasler, Nov 17 2015

Nontrivial means at least two of a,b,c,d,e are nonzero. - Jianing Song, Jan 24 2020

LINKS

Table of n, a(n) for n=1..52.

EXAMPLE

   72^5 = 19^5 + 43^5 + 46^5 + 47^5 +  67^5;

   94^5 = 21^5 + 23^5 + 37^5 + 79^5 +  84^5;

  107^5 =  7^5 + 43^5 + 57^5 + 80^5 + 100^5.

CROSSREFS

Cf. A063923.

For fourth powers: A003828, A175610, A039664, A003294.

Sequence in context: A248970 A066943 A206264 * A063923 A030025 A245213

Adjacent sequences:  A063919 A063920 A063921 * A063923 A063924 A063925

KEYWORD

nonn

AUTHOR

David W. Wilson, Aug 31 2001

STATUS

approved

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Last modified August 14 07:04 EDT 2020. Contains 336477 sequences. (Running on oeis4.)