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2*s3 = 3*t2 + 4 (Posted on 2009-06-13) Difficulty: 3 of 5
Determine all possible pair(s) (s,t) of integers that satisfy this equation:

2s3 = 3t2 + 4

See The Solution Submitted by K Sengupta    
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Some Thoughts computer finding | Comment 2 of 3 |

list
   10   for S=2 to 10000000
   20     Sum=2*S^3
   30     T=int(sqrt((Sum-4)/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 2009-06-13 19:38:17
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