Pseudo-Random Numbers

I don’t know who worked out this particular proof first, but I doubt it was me. Still, I found myself working through some of the odd properties you can get with a number of the form b^n-1, and stumbled across the following proof:

Now, I noticed a couple of neat things I could derive from this. […]

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Ever stop and wonder what that little $1 ticket is worth before it becomes worthless? How much intrinsic value does a near-impossible chance at near-unthinkable riches really have?
Well, to your run-of-the-mill economist, a 10% chance at $100 is worth $10. Prediction markets are all over the place that work on the exact same principle. I […]

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