A228556 Sums of two coprime positive cubes that are also sums of two coprime positive fifth powers.

2, 32769, 14348908, 14381675, 1073741825, 1088090731, 30517578126, 30517610893, 30531927032, 31591319949, 43977108474, 470184984577, 500702562701, 4747561509944, 4747561542711, 4747575858850, 4748635251767, 4778079088068, 5217746494519

Offset: 1

Author

Arkadiusz Wesolowski, Aug 25 2013

Keywords

• nonn

Comments

Every term greater than 2 has at least one prime factor of the form 30*k + 1 and therefore is in A228541.

Examples

			14381675 is in the sequence since 32^3 + 243^3 = 8^5 + 27^5 = 14381675 and (32, 243) = (8, 27) = 1.
		

Links

• Arkadiusz Wesolowski and Chai Wah Wu, Table of n, a(n) for n = 1..103 (terms n = 1..24 from Arkadiusz Wesolowski)
• Index to sequences related to sums of cubes

Crossrefs

Cf. A035046, A202679, A228541, A228542.

Formula

A202679 INTERSECT A228542.