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Numbers whose 4th power is the sum of two positive cubes in a nontrivial way.
6

%I #21 May 04 2019 10:19:19

%S 134,182,183,201,219,273,278,309,399,422,453,497,579,651,658,1036,

%T 1132,1324,1464,1482,1554,1608,1612,1752,1842,1996,2058,2184,2457,

%U 2472,2476,2483,2574,2634,2994,3052,3192,3465,3474,3618,3624,3724,3858,3906,3976

%N Numbers whose 4th power is the sum of two positive cubes in a nontrivial way.

%C When x is the sum of 2 positive cubes (A003325) there is a trivial solution.

%C From _Chai Wah Wu_, Feb 23 2017: (Start)

%C 2457, 4914, 4977, 8001, 8216, ... are terms that are also in A003325.

%C 10202696, 29791125, 48137544, ... are terms that are also in A001235. (End)

%H Chai Wah Wu, <a href="/A051387/b051387.txt">Table of n, a(n) for n = 1..10000</a>

%e 273^4 = 728^3 + 1729^3.

%Y Cf. A001235, A003325, A051386.

%K nonn

%O 1,1

%A _Jud McCranie_