Warp wrote:
> Some relatively easy math problems for your consideration and enjoyment:
>
>
> 1)
Key phrase: "not divisible by any *of the* primes"
> 2)
Some of the permutations will be repeat the same sequence.
> 3)
This value is bounded below by:
(1/4) * sum_{i=1:inf} 1/sqrt(i)
Which diverges, so the expected length of the game is infinite.
> 4)
I don't see how this is possible to give in closed form unless you allow
the ability to sum the digits in the base-5 representation of a number
(which you'd need a recursion or summation to do). If you actually know
a closed form that doesn't use a cheat like this I'd be curious to hear it.
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