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 A003362 Numbers that are the sum of 6 positive 6th powers. 32
 6, 69, 132, 195, 258, 321, 384, 734, 797, 860, 923, 986, 1049, 1462, 1525, 1588, 1651, 1714, 2190, 2253, 2316, 2379, 2918, 2981, 3044, 3646, 3709, 4101, 4164, 4227, 4290, 4353, 4374, 4416, 4829, 4892, 4955, 5018, 5081, 5557, 5620, 5683, 5746, 6285, 6348, 6411, 7013 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS This sequence has no sixth powers less than 1.5133*10^35. - J. Lowell, Jul 03 2021 LINKS David A. Corneth, Table of n, a(n) for n = 1..10000 (first 1000 terms from T. D. Noe) EXAMPLE From David A. Corneth, Aug 03 2020: (Start) 448832 is in the sequence as 448832 = 2^6 + 6^6 + 6^6 + 6^6 + 6^6 + 8^6. 1000733 is in the sequence as 1000733 = 1^6 + 1^6 + 1^6 + 1^6 + 3^6 + 10^6. 1819677 is in the sequence as 1819677 = 1^6 + 1^6 + 3^6 + 3^6 + 6^6 + 11^6. (End) MATHEMATICA Reap[For[n = 1, n <= 10000, n++, If[AnyTrue[PowersRepresentations[n, 6, 6], First[#] > 0&], Print[n]; Sow[n]]]][[2, 1]] (* Jean-François Alcover, Jul 18 2017 *) With[{nn=5}, Select[Total/@Tuples[Range[nn]^6, 6]//Union, #<=nn^6-5&]] (* Harvey P. Dale, Mar 27 2022 *) CROSSREFS Cf. A001014 (sixth powers). Column k=6 of A336725. Sequence in context: A127184 A333795 A113692 * A197170 A183438 A296016 Adjacent sequences: A003359 A003360 A003361 * A003363 A003364 A003365 KEYWORD nonn,easy AUTHOR STATUS approved

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Last modified November 26 21:15 EST 2022. Contains 358362 sequences. (Running on oeis4.)