A173054 Numbers of the form x^y + y^x, 1 < x < y.
17, 32, 57, 100, 145, 177, 320, 368, 593, 945, 1124, 1649, 2169, 2530, 4240, 5392, 7073, 8361, 16580, 18785, 20412, 23401, 32993, 60049, 65792, 69632, 94932, 131361, 178478, 262468, 268705, 397585, 423393, 524649, 533169, 1048976, 1058576
Offset: 1
Examples
17 is in the sequence because 17 = 2^3 + 3^2.
Links
- T. D. Noe, Table of n, a(n) for n=1..1000
Programs
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Mathematica
f[a_,b_]:=a^b+b^a; Take[Union[Flatten[Table[f[a,b],{a,2,50},{b,a+1,50}]]],80] nn=10^50; n=1; Union[Reap[While[n++; k=n+1; num=n^k+k^n; num