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Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 65.
1

%I #16 Jul 16 2021 01:36:44

%S 4227,16904,38031,67608,105635,152112,207039,270416,342243,422520,

%T 511247,608424,714051,828128,950655,1081632,1221059,1368936,1525263,

%U 1690040,1863267,2044944,2235071,2433648,2640675,2856152,3080079,3312456,3553283

%N Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 65.

%H Charles R Greathouse IV, <a href="/A031743/b031743.txt">Table of n, a(n) for n = 1..10000</a>

%t With[{nn=3600000},Select[Complement[Range[nn],Range[Floor[Sqrt[nn]]]^2], Min[ContinuedFraction[Sqrt[#]][[2]]]==65&]] (* _Harvey P. Dale_, Oct 10 2011 *)

%K nonn

%O 1,1

%A _David W. Wilson_