1,1

Warning! These terms have not been proved to be correct. There may be missing terms.

There are no solutions with (x,y,z) relatively prime. [Bruin]

F. Beukers, The Diophantine equation Ax^p+By^q=Cz^r, Duke Math. J. 91 (1998), 61-88.

Nils Bruin, On powers as sums of two cubes, in Algorithmic number theory (Leiden, 2000), 169-184, Lecture Notes in Comput. Sci., 1838, Springer, Berlin, 2000.

x=3, y=6, 3^3 + 6^3 = 3^5, so 3 is a member.

With max(x,y) < 10^4, we have these [x,y,z] triples: [3, 6, 3] [8, 8, 4] [96, 192, 24] [256, 256, 32] [729, 1458, 81] [1944, 1944, 108] [686, 2058, 98] [3696, 4368, 168] [3072, 6144, 192] [8192, 8192, 256] [2508, 8436, 228] ... - David Broadhurst

See A103268 for another version.

Sequence in context: A079657 A136309 A069703 this_sequence A099296 A066619 A028504

Adjacent sequences: A114734 A114735 A114736 this_sequence A114738 A114739 A114740

more,nonn

njas, Jan 31 2007