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A293693 Numbers z such that x^2 + y^7 = z^2 (with positive integers x and y) and gcd(x, y, z) = 1. 2
33, 1094, 2219, 4097, 6283, 39063, 40156, 69985, 78157, 82221, 148109, 411772, 412865, 450834, 524289, 526475, 602413, 823575, 827639, 893527, 1347831, 2391485, 2430547, 2500001, 2502187, 2803256, 3323543, 4783001, 4787065, 5307257, 7282969, 8957953, 9036077 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Subsequence of A293692.
LINKS
EXAMPLE
31^2 + 2^7 = 33^2 and gcd(31, 2, 33) = 1, 33 is a term.
8879827^2 + 60^7 = 9036077^2 and gcd(8879827, 60, 9036077) = 1, 9036077 is a term.
MATHEMATICA
z={}; Do[If[IntegerQ[(n^2 - y^7)^(1/2)] && GCD[y, n]==1, AppendTo[z, n]], {n, 9.7*10^6}, {y, (n^2 - 1)^(1/7)}]; z
CROSSREFS
Sequence in context: A188989 A189199 A009977 * A187539 A130835 A262101
KEYWORD
nonn
AUTHOR
XU Pingya, Oct 14 2017
STATUS
approved

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Last modified March 28 04:13 EDT 2024. Contains 371235 sequences. (Running on oeis4.)