Xyon (xyon) wrote,
Xyon
xyon

Interesting set of numbers

Here's a set of numbers I found interesting. There are actually an infinite number of them, here are all the ones less than 100
{1, 2, 3, 5, 7, 11, 13, 16, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 72, 73, 79, 83, 89, 97}

You'll note that it's not just a list of primes non-composites. In fact, it's the primes non-composites union { 16, 72, 729, 800, 6272, 16384, 30375, ... } where the second set may be interesting on it's own. 0 is arguably in this set, too.
This may be a well-known set, and if so tell me. Other than that, I'm willing to hazard guesses as to what defines it :) (but not from tekman who already heard me talking about it)

I'll share what the answer is after sufficient time (or nComments) has elapsed.
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