Equal Sums of Like Powers

Non-negative Integer Solutions of

• The general solution of this equation can be found on Golden's book. [5]
• [ 0, 5 ] = [ 3, 4 ]
• [ 2, 11 ] = [ 5, 10 ]
• [ mq + np , mp - nq ] = [ mq - np , mp + nq ]
• A.Golden gave method on how to obtained solution chain of this type. [5] Numerical solutions are
• [ 13, 91 ] = [ 23, 89 ] = [ 35, 85 ] = [ 47, 79 ] = [ 65, 65 ]
• [ 15, 400 ] = [ 32, 399 ] = [ 76, 393 ] = [ 81, 392 ] = [ 113, 384 ] = [ 140, 375 ] = [ 175, 360 ] = [ 183, 356 ] = [ 216, 337 ] = [ 228, 329 ] = [ 252, 311 ] = [ 265, 300 ]