[Archive!] Pure mathematics, physics, chemistry, etc.: brain-training problems not related to trade in any way - page 446
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Has the so-called Fermatian grand theorem already been proved?
I have attached a file to my post - read it if you are interested.
Well, you tell me when it's OK to give a link.
Throw me a link in the mailbox, please.
Drop me a link in the mailbox, please.
I've attached a file to the post - read it if you're interested.
Thank you, a very interesting book on the history of science.
I don't like point 5 in the solution you sent me in the email. I don't like it at all.
It's not mine :( I didn't go into it at all. I was just surprised to find out that I missed the fact that the theorem was proved. I went on the Internet and came across a book and a website. I thought that the book contains the detailed proof, started to read, understood that there were many interesting, but alas historical facts, and put the book aside. And then today you wondered about the theorem. Well, I was just sharing my findings. I'll be sure to try and get into the proof. :)
The numbers are 13 and 4 (P=52, C=17). Let's assume that I picked this one up by accident :)
Let's check. 11,17,23,27,29,35,37,41,47,51,53,57,59,65,67,71,77,79,83,87,89,93,95,97 - for reference.
A: I can't.
B: I know you can't without you.
A: I know the numbers. (52 (=2*2*13) = 2*26 = 4*13. The permissible sum is 17 = 4+13)
B: (uh... let me see.)
17=2+15. П (=2*3*5) = 2*15 = 3*10 = 5*6. The permissible sums are 17, 13, 11. Unsuccessful option.
17=3+14. П (=2*3*7) = 2*21 = 3*14 = 6*7. The sums are 23, 17, 13. Not a single variant.
17=4+13. П (=2*2*13) = 2*26 = 4*13. The sums are 17. The only option. The first candidate to pair: 4,13.
17=5+12. П (=2*2*3*5) = 2*30 = 3*20 = 4*15 = 5*12 = 6*10. The sums are 23, 19, 17. Unsuccessful option.
17=6+11. П (=2*3*11) = 2*33 = 3*22 = 6*11. The sums are 35, 25, 17. Not a single option.
17=7+10. П (=2*5*7) = 2*35 = 5*14 = 7*10. The sums are 37, 19, 17. Not a single option.
17=8+9. P (=2*2*2*3*3) = 2*36 = 3*24 = 4*18 = 6*12 = 8*9. Sums are 27, 17. Not a single option.
(I know them in that case too.)
___________________________
So, with this pairing - 4,13 - the conversation of the wise men will take place completely.
But I have another candidate. We'll check it out later.
But I have another candidate. We'll check it out later.