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A063923
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Numbers k such that k^5 = a^5 + b^5 + c^5 + d^5 + e^5 has a nontrivial primitive solution in nonnegative integers.
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8
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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
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OFFSET
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1,1
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COMMENTS
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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
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LINKS
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EXAMPLE
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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.
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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144 and 1006 inserted and name simplified by Jianing Song, Jan 24 2020
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STATUS
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approved
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