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%I #21 Sep 08 2022 08:45:54
%S 4096,14336,31744,65024,130816,262016,524224,1048544,2097136,4194296,
%T 8388604,16777214,33554431
%N Numbers n such that 8^9 + n^2 is a square.
%t Module[{x,y}, x /. List@ToRules@Reduce[8^9 + x^2 == y^2 && y > x > 0, Integers]] (* _Giovanni Resta_, Jan 29 2013 *)
%t x/.Solve[{8^9+x^2==y^2,x>0,y>0},{x,y},Integers] (* _Harvey P. Dale_, Mar 16 2019 *)
%o (Magma) [n: n in [0..2^25] | IsSquare(8^9+n^2)]; // _Vincenzo Librandi_, Jan 29 2013
%o (PARI) is(n)=issquare(8^9+n^2) \\ _Charles R Greathouse IV_, Jan 29 2013
%K nonn,easy,fini,full
%O 1,1
%A _Jason Earls_, Sep 30 2010
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