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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

%I

%S 72,94,107,144,188,214,216,282,288,321,360,365,376,415,427,428,432,

%T 435,470,480,503,504,530,535,553,564,575,576,642,648,650,658,700,703,

%U 716,720,729,730,744,749,752,764,792,804,830,846,848,851,854,856,864,870

%N Numbers k such that k^5 = a^5 + b^5 + c^5 + d^5 + e^5 has a nontrivial solution in nonnegative integers.

%C 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

%C Nontrivial means at least two of a,b,c,d,e are nonzero. - _Jianing Song_, Jan 24 2020

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

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

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

%Y Cf. A063923.

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

%K nonn

%O 1,1

%A _David W. Wilson_, Aug 31 2001

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Last modified September 23 01:32 EDT 2020. Contains 337291 sequences. (Running on oeis4.)