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 A063923 Numbers k such that k^5 = a^5 + b^5 + c^5 + d^5 + e^5 has a nontrivial primitive solution in nonnegative integers. 6
 72, 94, 107, 144, 365, 415, 427, 435, 480, 503, 530, 553, 575, 650, 700, 703, 716, 729, 744, 764, 804, 848, 851, 875, 923, 941, 975, 1004, 1006, 1040, 1044, 1235, 1257, 1313, 1327, 1329, 1369, 1392, 1457, 1469, 1504, 1528, 1537, 1575, 1583, 1588, 1596, 1623, 1653, 1685, 1686 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Primitive means a solution for k has gcd(a,b,c,d,e) = 1. [Corrected by Jianing Song, Jan 24 2020] Nontrivial means at least two of a,b,c,d,e are nonzero. - Jianing Song, Jan 24 2020 LINKS Jianing Song, Table of n, a(n) for n = 1..400 (All terms from James Waldby link) L. J. Lander, T. R. Parkin and J. L. Selfridge, A Survey of Equal Sums of Like Powers, Mathematics of Computation, Vol. 21, No. 99 (Jul., 1967), pp. 446-459. See Table III p. 449. James Waldby, A Table of Fifth Powers equal to a Fifth Power 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. A063922. For cubes: A003072, A023041, A261029. For fourth powers: A003828, A175610, A039664, A003294. Sequence in context: A066943 A206264 A063922 * A030025 A245213 A270308 Adjacent sequences:  A063920 A063921 A063922 * A063924 A063925 A063926 KEYWORD nonn AUTHOR David W. Wilson, Aug 31 2001 EXTENSIONS 144 and 1006 inserted and name simplified by Jianing Song, Jan 24 2020 More terms from Jinyuan Wang, Jan 24 2020 STATUS approved

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Last modified September 18 20:05 EDT 2020. Contains 337173 sequences. (Running on oeis4.)