A385233 Numbers that can be written as s^x + t^y + u^z with 1 < s < t < u and {s,t,u} = {x,y,z} (the sequence of exponents can be any permutation of s,t,u).

59, 84, 89, 105, 127, 149, 166, 204, 273, 276, 287, 289, 313, 347, 356, 372, 433, 480, 576, 620, 624, 673, 773, 777, 849, 932, 949, 1065, 1151, 1201, 1230, 1250, 1376, 1380, 1653, 1676, 2033, 2089, 2196, 2244, 2425, 2534, 2545, 2786, 3142, 3156, 3157, 3225, 3270, 3302, 3385, 3388, 3408, 3445, 3718, 4070, 4148, 4249

Offset: 1

Author

Alberto Zanoni, Jun 28 2025

Keywords

• nonn

Examples

			a(1) = 2^4 + 3^3 + 4^2 = 16 + 27 + 16 =  59.
a(2) = 2^5 + 3^3 + 5^2 = 32 + 27 + 25 =  84.
a(3) = 2^4 + 3^2 + 4^3 = 16 +  9 + 64 =  89.
a(4) = 2^3 + 3^4 + 4^2 =  8 + 81 + 16 = 105.
		

Links

• David A. Corneth, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A001597, A385232 (two addends).