Math Is Fun Forum
  Discussion about math, puzzles, games and fun.   Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ -¹ ² ³ °

You are not logged in.

#1 This is Cool » I think this is a new proof of Fermat's Last Theorem. » 2016-05-17 09:30:18

Primenumbers
Replies: 3

Fermat's Last Theorem states that no three positive integers a, b, and c satisfy the equation

for any integer value of n strictly greater than two.

Let

          where n >2

Then

    must equal:


must have opposite remainders for

Adding y to one and minusing y from another will keep them opposite if they are already opposite. So let's see if the two squares have opposite remainders for
.



If we add them together they should=0 if they are opposite.

No!

Fermat's Last theorem is True.

#2 Re: Dark Discussions at Cafe Infinity » I am going to climb Everest » 2016-05-10 16:54:43

I don't know, it's just a Maths degree, starting 2017. Doing Foundation Year and Placement Year.

#4 Re: Dark Discussions at Cafe Infinity » I am going to climb Everest » 2016-05-09 22:03:57

I got into Uni to do maths! I am going to do that now. smile

#5 Re: Jokes » Star Wars joke » 2016-05-05 22:11:55

Q: Why did the angry Jedi cross the road?
A: To get to the Dark Side.

#6 Re: Dark Discussions at Cafe Infinity » I am going to climb Everest » 2016-05-05 20:38:17

I am going to do a web design course at college..........don't think I want to go to uni. I have the right mind to make a good programmer because it's based on logic and is creative problem solving.

#9 Re: Dark Discussions at Cafe Infinity » I am going to climb Everest » 2016-05-03 02:56:12

Yes. If I don't enjoy it I am just going to quit. But I should enjoy it because it's maths! I already have a philosophy degree but I didn't enjoy it. I think that's how I got my schizophrenia.

#10 Re: Dark Discussions at Cafe Infinity » I am going to climb Everest » 2016-05-03 00:46:58

I have applied to do a math degree! I hope I get in, should do because I am doing a foundation year. Then I can be as clever as you guys!

#12 Re: This is Cool » My New Twin Prime Numbers » 2016-05-03 00:03:00

Can be written as....

And we know

So,

569,673=(1x2)+(2x4)+(4x6)+(6x8)+(10x12)+(12x14)+(16x18).

#13 Re: This is Cool » Using Fermat's Little Theorem to find primes. » 2016-05-02 22:33:31

Well usually you'd do

where x=(2-1)(3-1)(5-1)(7-1) and it would be factorable by 2,3,5,7........
But if you use a composite Ie.
it won't be factorable by 3 and 7.
In this way you can find out if the base is prime or not in one simple calculation!

#14 Re: This is Cool » Using Fermat's Little Theorem to find primes. » 2016-05-02 21:17:44

What if you used the prime as the base? It would be impossible for it to be factorable by factors of a composite because you are minusing 1.

#16 This is Cool » Using Fermat's Little Theorem to find primes. » 2016-05-02 06:46:55

Primenumbers
Replies: 8

Introduction

The following is a way to find out if (a) is prime or not using Fermat's Little Theorem.

Rule

will be factorable by all primes <square root a if a is prime, otherwise it won't be.
x=(All primes below square root a)-1, multiplied together. I.e. (2-1)(3-1)(5-1)(7-1)(11-1)....
a=any odd no.

Theory

Fermat's little theorem states that if p is a prime number, then for any integer a, the number

     is an integer multiple of p.
So if y=p-1 then
will be factorable by p.
We know that remainders repeat themselves in a pattern when multiplying by a. So y could be a multiple of y and the answer would still be factorable by p.
In this way as long as x is factorable by p-1 then the answer will be factorable by p unless (a) itself is factorable by p.

Example

a=37
x=(2-1)(3-1)(5-1)=8

will be factorable by 2x3x5=30 because 37 is prime

a=21
x=(2-1)(3-1)=2

won't be factorable by 2x3=6 because 21 is factorable by 3.

Conclusion

I don't know but I would have thought this method would be useful for computers as it only requires a few computations. Don't computers usually have to factor possible factors separately? The numbers are very large though.

#17 Re: Dark Discussions at Cafe Infinity » I am going to climb Everest » 2016-04-27 16:47:09

Okay bobbym. I am going to bed now. 6 o'clock in the morning where I am.
Night night.

#18 Re: Dark Discussions at Cafe Infinity » I am going to climb Everest » 2016-04-27 16:39:49

Okay, that's fair.

My avatar is because I used to play judo.

I tend to do everything to the extreme also. My friends used to call me Xtreme when I was a bit younger because I used to do everything to the extreme. Jump off things, drink the most and drive stupidly, stuff like that. I have calmed down a lot now but still enjoy a good challenge! I am at a weird point in my life when I am finally feeling better and I just don't know what to do with myself.

smile

#19 Re: Dark Discussions at Cafe Infinity » I am going to climb Everest » 2016-04-27 16:25:28

Mmm....do many people die from sailing round the world?

bobbym wrote:

That she is a she.

What made you think I was a guy bobbym?

#20 Re: Dark Discussions at Cafe Infinity » I am going to climb Everest » 2016-04-27 16:14:09

I have done some research in case anyone else is interested in climbing it.

It's going to set you back something like £40, 000.

You need to;

Go on a climbing course and then practice

Go on an ice climbing course and then climb a lesser mountain

Do a load of training before attempting the ascent

Also you should know;

70% of attempts are unsuccessful and for every 10 climbers that make the ascent 1 will die trying to

That is a high risk! I'm quite scared now..................................................... Oh well!

#21 Re: Dark Discussions at Cafe Infinity » I am going to climb Everest » 2016-04-27 14:54:56

I'm a girl by the way. I think everyone keeps thinking I'm a guy. That Nehushtan was so rude to me bobbym. I don't think he would have been if he knew I was a lady. Although I am assuming he/she is a guy. Could have been a cat fight......... Meow!

#22 Re: Maths Is Fun - Suggestions and Comments » Prime Numbers Activity » 2016-04-27 14:26:37

Better to start at the beginning isn't it..........  I think it should make a noise when you find a prime.

#24 Re: Euler Avenue » Was mathematics invented or discovered? » 2016-04-27 14:09:54

The word 'Math' is invented. That's why you can say it in different languages and it doesn't matter. However the math itself was discovered because it is highly unlikely that some guy in China and some guy in England invented the same mathematics. They could have used different symbols.......... but it would have been the same mathematics.

If mathematics was invented to cope with sensory information linking it to reality. I would just like to say that all sensory information is real. Just because you could be dreaming doesn't mean you are.

smile

#25 Re: Dark Discussions at Cafe Infinity » I am going to climb Everest » 2016-04-27 13:16:29

I have changed my mind. I think climbing mount everest is God's will for my life. I googled how do we know what God wants us to do and it said the holy spirit would pacify and encourage us when we are leaning in the right direction and I get so excited at the prospect of climbing mount everest. I know there is a God because even when no one is around I never feel alone, ever since I was a child this has been true.

Board footer

Powered by FluxBB