A386892 Numbers k expressible as x^y + y^z + z^x, where x, y, and z are integers > 1.
12, 21, 36, 44, 61, 81, 89, 104, 105, 166, 172, 181, 276, 288, 289, 324, 395, 401, 480, 597, 673, 768, 773, 777, 932, 972, 1065, 1128, 1230, 1250, 1376, 1905, 2033, 2089, 2173, 2244, 2545, 2557, 3182, 3388, 3493, 4148, 4244, 4368, 4393, 4652, 4774
Offset: 1
Keywords
Examples
a(7) = 89, which can be given by x=4, y=3, z=2.
Links
- Andrew Howroyd, Table of n, a(n) for n = 1..10000
Programs
-
PARI
upto(lim) = { my(L=List()); for(x=2, logint(lim,2), for(y=2, min(x,logint(lim,x)), for(z=2, min(x,logint(lim,y)), my(t=x^y+y^z+z^x); if(t<=lim, listput(L,t)) ))); Set(L) } \\ Andrew Howroyd, Aug 06 2025