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%I #17 Jan 02 2016 15:44:00
%S 2,32769,14348908,14381675,1073741825,1088090731,30517578126,
%T 30517610893,30531927032,31591319949,43977108474,470184984577,
%U 500702562701,4747561509944,4747561542711,4747575858850,4748635251767,4778079088068,5217746494519
%N Sums of two coprime positive cubes that are also sums of two coprime positive fifth powers.
%C Every term greater than 2 has at least one prime factor of the form 30*k + 1 and therefore is in A228541.
%H Arkadiusz Wesolowski and Chai Wah Wu, <a href="/A228556/b228556.txt">Table of n, a(n) for n = 1..103</a> (terms n = 1..24 from Arkadiusz Wesolowski)
%H <a href="/index/Su#ssq">Index to sequences related to sums of cubes</a>
%F A202679 INTERSECT A228542.
%e 14381675 is in the sequence since 32^3 + 243^3 = 8^5 + 27^5 = 14381675 and (32, 243) = (8, 27) = 1.
%Y Cf. A035046, A202679, A228541, A228542.
%K nonn
%O 1,1
%A _Arkadiusz Wesolowski_, Aug 25 2013
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