[seqfan] Re: Your A051217 Nonnegative numbers of the form 6^x-y^2.

David Wilson davidwwilson at comcast.net
Thu Nov 17 05:38:46 CET 2011

I ran the program for all n on the range 0 <= n <= 1152 (the %STU 
range), and it confirmed that A051217 is correct on the published range. 
For each n, it either solved n = 6^x - y^2 or found a modulus for which 
it was insoluble. (I did not author the b-file). I have sent the results 
to Moshe Levin, who originally contested the sequence.

Now I don't have to worry about going to Hell (over A051217 anyway).

Good night all.

On 11/14/2011 12:04 AM, franktaw at netscape.net wrote:
> I would most certainly take game 1. I would rate the probability that 
> there is some regularity we have no inkling of that makes hitting 
> particular values more likely at about 10^-4; if the probability of 
> hitting a value in the published range is then, say, 10^-10, that 
> still gives you a 10^-14 chance of losing - much worse than the other 
> game. Even if the probability of such a regularity is 10^-20, your 
> odds are much worse in game 2.
> Franklin T. Adams-Watters
> P.S. This is of course not counting the Monty Hall effect. If the 
> devil gives you that choice, you can be pretty sure that he knows 
> something that you don't.
> -----Original Message-----
> From: David Wilson <davidwwilson at comcast.net>
> ...
> So, technically, yes, I could have missed a value in A051217. However,
> if I had to choose between playing
> these two games:
> Game 1: You and I each choose a random subatomic particle from the
> observable universe.  If we choose
> the same particle, I go to Hell.
> Game 2: If A051217 is missing an element on the published range, I go to
> Hell.
> I would play game 2.
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