|
|
A063922
|
|
Numbers k such that k^5 = a^5 + b^5 + c^5 + d^5 + e^5 has a nontrivial solution in nonnegative integers.
|
|
7
|
|
|
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
|
|
|
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
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|