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#26 2013-08-09 05:22:01

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 90,638

Re: Euclid's proof of infinitude of primes.

Of course it divides m. We said it did. But just because you say the moon is made out of cheese that does not make it so.

The problems is, this prime q and it must exist is outside of our list. We have a contradiction. The original premise is wrong, there is no largest prime.


In mathematics, you don't understand things. You just get used to them.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

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#27 2013-08-09 05:30:59

Al-Allo
Member
Registered: 2012-08-23
Posts: 294

Re: Euclid's proof of infinitude of primes.

Yes, I'm following you. Ok, I'll go re-read the proof to see if there's anything I want to ask you. (I love understanding deeply something, hope it won't bother you.)

Thank you for your help

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#28 2013-08-09 05:33:10

Al-Allo
Member
Registered: 2012-08-23
Posts: 294

Re: Euclid's proof of infinitude of primes.

Oh ok, could you explain me where the +1 comes from? It seems rather mysterious...

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#29 2013-08-09 05:33:31

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 90,638

Re: Euclid's proof of infinitude of primes.

Look it over and let me know.


In mathematics, you don't understand things. You just get used to them.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

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#30 2013-08-09 05:35:22

Al-Allo
Member
Registered: 2012-08-23
Posts: 294

Re: Euclid's proof of infinitude of primes.

Just in case you didn't see my second post..

Last edited by Al-Allo (2013-08-09 05:35:34)

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#31 2013-08-09 05:38:24

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 90,638

Re: Euclid's proof of infinitude of primes.

It is chosen because it is obviously bigger than p1p2...pn and because it is odd. Also, because it makes the proof work and because he is is brilliant.


In mathematics, you don't understand things. You just get used to them.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

Offline

#32 2013-08-09 05:41:18

Al-Allo
Member
Registered: 2012-08-23
Posts: 294

Re: Euclid's proof of infinitude of primes.

mmmmh.....not following.

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#33 2013-08-09 05:42:09

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 90,638

Re: Euclid's proof of infinitude of primes.

Do you see that p1p2...pn is even?


In mathematics, you don't understand things. You just get used to them.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

Offline

#34 2013-08-09 05:44:53

Al-Allo
Member
Registered: 2012-08-23
Posts: 294

Re: Euclid's proof of infinitude of primes.

Well, I don't see why it couldn't be odd.

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#35 2013-08-09 05:45:56

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 90,638

Re: Euclid's proof of infinitude of primes.

p1 = 2, so p1p2p3...pn is even.


In mathematics, you don't understand things. You just get used to them.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

Offline

#36 2013-08-09 05:47:13

Al-Allo
Member
Registered: 2012-08-23
Posts: 294

Re: Euclid's proof of infinitude of primes.

Ah ok, yes xD Ok so p1p2pn is even

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#37 2013-08-09 05:49:29

Al-Allo
Member
Registered: 2012-08-23
Posts: 294

Re: Euclid's proof of infinitude of primes.

so m=p1p2pn+1 is odd

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#38 2013-08-09 05:50:34

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 90,638

Re: Euclid's proof of infinitude of primes.

Yes, so it has a chance of being prime. That is part of the brilliance of his idea.


In mathematics, you don't understand things. You just get used to them.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

Offline

#39 2013-08-09 05:53:44

Al-Allo
Member
Registered: 2012-08-23
Posts: 294

Re: Euclid's proof of infinitude of primes.

Mmmhh...it seems rather risky, don't you think ? It has a chance, but this is risky.

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#40 2013-08-09 05:56:08

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 90,638

Re: Euclid's proof of infinitude of primes.

How he came up with the idea is beyond me.


In mathematics, you don't understand things. You just get used to them.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

Offline

#41 2013-08-09 05:56:18

Al-Allo
Member
Registered: 2012-08-23
Posts: 294

Re: Euclid's proof of infinitude of primes.

In fact, I'm not in agreement with this. How can this be accepted ? WE have many odd numbers not primes.........

Last edited by Al-Allo (2013-08-09 05:57:57)

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#42 2013-08-09 05:59:13

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 90,638

Re: Euclid's proof of infinitude of primes.

Agreement with what?


In mathematics, you don't understand things. You just get used to them.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

Offline

#43 2013-08-09 06:07:46

Al-Allo
Member
Registered: 2012-08-23
Posts: 294

Re: Euclid's proof of infinitude of primes.

That m=p1pn2+1 is prime

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#44 2013-08-09 06:10:40

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 90,638

Re: Euclid's proof of infinitude of primes.

He is not saying that. Since it is odd it must be prime or composite.


In mathematics, you don't understand things. You just get used to them.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

Offline

#45 2013-08-09 06:12:54

Al-Allo
Member
Registered: 2012-08-23
Posts: 294

Re: Euclid's proof of infinitude of primes.

ok, anyway, ill be going, if i have any other question, they will be here ! thank you for your support

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#46 2013-08-09 06:13:36

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 90,638

Re: Euclid's proof of infinitude of primes.

Okay, see you later.


In mathematics, you don't understand things. You just get used to them.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

Offline

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