[Archive!] Pure mathematics, physics, chemistry, etc.: brain-training problems not related to trade in any way - page 236
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It comes out the same as in the original. But it's clearer (?).
It's all about the algorithm. Then mathematical formulas as a bonus )
Well, yes, excellent. You've solved the main part of the puzzle. Now all that's left is the small part. C-4, you'll figure it out on your own?
P.S. I'm seriously interested in 1+...+m = n! Obvious solutions are at n = 1, 3, 5. I got to n = 29 - no solutions yet.
I've bruteforced it to n = 30 - no solutions yet.
Well, that's overkill. And I was asked to do it verbally. It's faster if you do it by computer :)
You can't go through all the solutions with a computeraire anyway (you need proof).
Ooh, the hell with it!
[1-50]!
How many significant characters can an integer have?
Ah, I see, these are imprecise values...
Well yes, it looks like 15 significant digits at the most.
P.S. 50! zeros on the right-hand side should have 12 exactly, but there's a whole bunch of them.
Here, I drew it in excel. And it turns out that for
for every Y there's a pair of X's.)
Oh, yeah, they have to be integers...
Of course, the trick is all in their integers.