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A293691
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Numbers z such that x^2 + y^6 = z^2 (with positive integers x and y) and gcd(x, y, z) = 1.
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2
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17, 365, 745, 1025, 1753, 7813, 8177, 11665, 15641, 16649, 27289, 58825, 59189, 65537, 66265, 66637, 81161, 117665, 118673, 129313, 183185, 250001, 250729, 265721, 273533, 324545, 367649, 531457, 532465, 596977, 746497, 762121, 781441, 864145, 885781, 886145
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OFFSET
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1,1
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COMMENTS
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Subsequence of A293690.
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LINKS
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Chai Wah Wu, Table of n, a(n) for n = 1..10000
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EXAMPLE
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15^2 + 2^6 = 17^2 and gcd(15, 2, 17) = 1, 17 is a term.
885416^2 + 33^6 = 886145^2 and gcd(885416, 33, 886145) = 1, 886145 is a term.
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MATHEMATICA
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z={}; Do[If[IntegerQ[(n^2 - y^6)^(1/2)] && GCD[y, n]==1, AppendTo[z, n]], {n, 8.9*10^5}, {y, (n^2 - 1)^(1/6)}]; z
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CROSSREFS
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Cf. A103156, A174115, A293690.
Sequence in context: A121824 A120287 A222678 * A002197 A070148 A097499
Adjacent sequences: A293688 A293689 A293690 * A293692 A293693 A293694
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KEYWORD
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nonn
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AUTHOR
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XU Pingya, Oct 14 2017
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STATUS
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approved
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