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

1,1

Comments

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

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

Formula

A202679 INTERSECT A228542.

Example

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

Crossrefs

Cf. A035046, A202679, A228541, A228542.

Sequence in context: A047076 A176721 A030462 * A001377 A206854 A330304

Adjacent sequences: A228553 A228554 A228555 * A228557 A228558 A228559

Keyword

nonn

Author

Arkadiusz Wesolowski, Aug 25 2013

Status

approved