In this short set of numbers two do not belong:
1, 16, 64, 512, 4096, 46656, 1000000, 2985984

Why?

The numbers which belong have two special properties. Those not conforming have one of these which is not the same for each of them.

(In reply to A simpler solution by Guest)

1 and 16.

All numbers are even, except 1.  All numbers have integer cube roots, except 16.

Yes?

Posted by brianjn on 2007-05-01 08:56:28