A389009 Numbers of the form j^k*h^i = k^j*i^h where h, i, j, and k are distinct integers greater than one.

5435817984, 8307674973655724205648794126752153600000000, 156697608808359476277058321980515852253793374723983714287616, 14067021674676692401187159929925146009845072758030475223738315460088220349058730792106208526336

Offset

1,1

Links

Table of n, a(n) for n=1..4.

Example

a(1) = 2^18*12^4 = 18^2*4^12.
a(2) = 4^50*40^8 = 50^4*8^40 (found by Hugo Pfoertner).
a(3) = 6^54*48^12 = 54^6*12^48  (found by Hugo Pfoertner).
a(4) = 16^36*48^32 = 36^16*32^48 (found by Alois P. Heinz).
a(5) = 3^192*108^9 = 192^3*9^108 (found by Hugo Pfoertner).

Crossrefs

Cf. A005843, A008588, A008585.

Sequence in context: A358412 A112430 A272714 * A376255 A213254 A295458

Adjacent sequences: A389006 A389007 A389008 * A389010 A389011 A389012

Keyword

nonn

Author

Dwight Boddorf, Sep 22 2025

Status

approved