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Numbers k such that 6^7 + k^2 is a square.
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%I #16 Sep 08 2022 08:45:54

%S 45,108,270,342,540,633,783,900,1242,1410,1908,2155,2565,2892,3870,

%T 4358,5820,7767,8740,11658,17492,23325,34990,69983

%N Numbers k such that 6^7 + k^2 is a square.

%D Clifford A. Pickover, The Mathematics of Oz: Mental Gymnastics From Beyond The Edge. Cambridge University Press, 2002. Page 252.

%H Jason Earls, <a href="http://www.scribd.com/doc/38461010/Solutions-to-N-N-1-X-2-Y-2">Solutions to N^(N+1) + X^2 = Y^2</a>, Scribd.

%o (Magma) [n: n in [0..70000] | IsSquare(n^2 + 6^7)]; // _Vincenzo Librandi_, Jan 29 2013

%o (PARI) is(n)=issquare(6^7+n^2) \\ _Charles R Greathouse IV_, Jan 29 2013

%K nonn,easy,fini

%O 1,1

%A _Jason Earls_, Sep 30 2010