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A261522 Positive integers k such that x^2 - 23xy + y^2 + k = 0 has integer solutions. 0

%I #11 Feb 20 2024 02:31:28

%S 21,41,59,75,84,89,101,111,119,125,129,131,164,189,201,236,251,269,

%T 300,311,329,336,356,369,381,404,419,425,444,461,476,479,489,500,509,

%U 516,521,524,525,531,579,581,629,656,675,719,731,756,761,801,804,831,839

%N Positive integers k such that x^2 - 23xy + y^2 + k = 0 has integer solutions.

%e 41 is in the sequence because x^2 - 23xy + y^2 + 41 = 0 has integer solutions; for example, (x, y) = (2, 45).

%Y Cf. A004253, A237254.

%Y Cf. A031363, A084917, A237351, A237599, A237606, A237609, A237610, A236330, A236331, A238240, A238245.

%K nonn

%O 1,1

%A _Colin Barker_, Aug 23 2015

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Last modified April 24 17:02 EDT 2024. Contains 371962 sequences. (Running on oeis4.)