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A051387
Numbers whose 4th power is the sum of two positive cubes in a nontrivial way.
6
134, 182, 183, 201, 219, 273, 278, 309, 399, 422, 453, 497, 579, 651, 658, 1036, 1132, 1324, 1464, 1482, 1554, 1608, 1612, 1752, 1842, 1996, 2058, 2184, 2457, 2472, 2476, 2483, 2574, 2634, 2994, 3052, 3192, 3465, 3474, 3618, 3624, 3724, 3858, 3906, 3976
OFFSET
1,1
COMMENTS
When x is the sum of 2 positive cubes (A003325) there is a trivial solution.
From Chai Wah Wu, Feb 23 2017: (Start)
2457, 4914, 4977, 8001, 8216, ... are terms that are also in A003325.
10202696, 29791125, 48137544, ... are terms that are also in A001235. (End)
EXAMPLE
273^4 = 728^3 + 1729^3.
CROSSREFS
KEYWORD
nonn
AUTHOR
STATUS
approved