list
10 for S=2 to 10000000
20 Sum=2*S^3
30 T=int(sqrt((Sum4)/3)+0.5)
40 if 3*T*T+4=Sum then print S;T;Sum
50 next
OK
run
2 2 16
OK
So for S up to ten million, (2,2) and its ancillary (2,2) as noted by Dej Mar are the only solutions.

Posted by Charlie
on 20090613 19:38:17 