A123207 Primes of the form (x^y + y^z + z^x), for x,y,z > 1.

61, 89, 181, 401, 673, 773, 2089, 2557, 12497, 33049, 78857, 98057, 98929, 135329, 268921, 338323, 390721, 531989, 552241, 554233, 794881, 1954097, 2165089, 4204961, 5967161, 8389141, 9765757, 11423429, 17200609, 33555061, 35835953

Offset

1,1

Links

Table of n, a(n) for n=1..31.

Mathematica

Take[Select[Intersection[Flatten[Table[x^y+y^z+z^x, {x, 2, 60}, {y, 2, 60}, {z, 2, 60}]]], PrimeQ[ # ]&], 40]

Crossrefs

Cf. A094133 - Primes of form x^y + y^x.

Sequence in context: A186457 A103812 A047272 * A309180 A038856 A144970

Adjacent sequences: A123204 A123205 A123206 * A123208 A123209 A123210

Keyword

nonn

Author

Alexander Adamchuk, Oct 04 2006

Status

approved