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Sorted list of largest values in the quintuple (a,b,c,d,e) satisfying a^2 + b^2 + c^2 + d^2 + e^2 = a*b*c*d*e.
1

%I #21 Sep 30 2013 04:42:44

%S 4,5,9,12,23,31,33,35,44,57,60,81,107,123,157,179,204,212,273,293,311,

%T 369,391,411,417,459,555,620,657,679,1076,1115,1187,1259,1275,1308,

%U 1377,1453,1713,1813,1979,2508,2604,2673,2764,2817,2885,3419,3475,3804,3849,4055,4139,4397,4683,4969,6267,6393,6439,7375

%N Sorted list of largest values in the quintuple (a,b,c,d,e) satisfying a^2 + b^2 + c^2 + d^2 + e^2 = a*b*c*d*e.

%e a(1)=4 since (4, 3, 3, 1, 1) is a solution of a^2 + b^2 + c^2 + d^2 + e^2 = a*b*c*d*e.

%e a(2)=5 since (5, 3, 3, 1, 1) is a solution.

%e a(3)=9 since (9, 4, 3, 1, 1) is a solution.

%K nonn

%O 1,1

%A _Shanzhen Gao_, Sep 17 2013

%E Definition corrected by _Ralf Stephan_, Sep 18 2013