Continuing the work of Euler, Ramanujan, G.H. Hardy, E.M. Wright, B.F. deBessy, John Leech, and many others
notation
P12(2,3,5) = a2 + b3 + c5 = d2 + e3 + f5420 = 192 + 33 + 25 = 132 + 23 + 352015, C. A. Morris
P12(2,3,7)2364 = 472 + 33 + 27 = 132 + 23 + 37
P12(3,3,3)185527 = 133 + 433 + 473 = 193 + 313 + 533
P12(3,3,5)401427 = 73 + 313 + 135 = 233 + 733 + 35
P12(3,3,7)32006077 = 533 + 3173 + 37 = 1313 + 3073 + 77
P12(3,5,5)70572125 = 1073 + 55 + 375 = 3473 + 115 + 315
P12(3,5,7)20343570467 = 27113 + 535 + 77 = 27293 + 75 + 117
P12(5,5,7)x
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http://cr.yp.to/papers/sortedsums.pdf
http://homepage.ntlworld.com/duncan-moore/taxicab/
http://euler2000.free.fr/