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plasmid added an answer to a question Triangle with a given perimeter

plasmid added an answer to a question Fun with real numbers
Araver's right.

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plasmid added an answer to a question Fun with real numbers
For part 1: If you have (a+b+c+d)2 >= Kbc for all such reals,

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plasmid added an answer to a question Highest of the lows
If you want to solve for the probability that any cards from card N to card (NM) are in the left deck, I guess you could try:
That looks too complicated for me to attempt without a more Ahha approach.

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plasmid added an answer to a question Highest of the lows
Correction to my previous post:

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plasmid added an answer to a question Highest of the lows
I can calculate the probability that at least one of card N1 or card N2 falls in the left pile. I think this might be extendable to larger numbers, albeit with the equations becoming somewhat unwieldy.

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plasmid added an answer to a question Highest of the lows

plasmid added an answer to a question A Complicated Numbers Problem

plasmid added an answer to a question n!+1 is composite
Oops, my mistake

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plasmid added an answer to a question Shadows on fence posts

plasmid added an answer to a question Squares packed in triangluar boxes

plasmid added an answer to a question Prime Sided Dice
Slightly better

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plasmid added an answer to a question Prime Sided Dice
Thanks for catching that DejMar.
I'll think about how it could be made even better.

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plasmid added an answer to a question Squares packed in triangluar boxes
I got the same answer as gavinksong, with a little different approach.
Edit: I guess I ought to attach that figure I was talking about ^.^
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plasmid added an answer to a question Prime Sided Dice