Twin prime are infinite.

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Bapy Biswas
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Twin prime are infinite.

Unread post by Bapy Biswas » Sun Mar 04, 2012 7:15 pm

Twin prime are infinite .

Let, prime number is limited and twin prime are also limited.
Now the largest twin prime are P1 & P2.
Now we can make
P = 2×3×5×7×11×13×17×19×… … … … … ×P1×P2
again let P3 & P4
which are made by
P3= P-1 &
P4= p+1
P3 & P4 both are prime number.
And P4= P3+2
So they are twin prime.
Now we can say that prime number & twin prime are
infinity.

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nafistiham
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Re: Twin prine are infinite.

Unread post by nafistiham » Sun Mar 04, 2012 7:44 pm

How are you sure that $P_3$ and $P_4$ are prime.It is true that all the primes till $P_2$ do not divide them.But, that does not mean they are primes.A larger prime may divide them.
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Phlembac Adib Hasan
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Re: Twin prine are infinite.

Unread post by Phlembac Adib Hasan » Mon Mar 05, 2012 2:47 pm

The same mistake that I made three years ago while in class six.
Example:$2.3.5.7.11+1=30031$ is not dividable by any of $2,3,5,7,11$.But,however, it is dividable by larger prime $59$ as $30031=59*509$.
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Re: Twin prine are infinite.

Unread post by nafistiham » Mon Mar 05, 2012 4:52 pm

আমি জানি না যে কঞ্জেকচারটা কিভাবে প্রমান করা যায় । কিন্তু বলাই বাহুল্য যদি এটা এতই সোজা হতো, নিশ্চয়ই এতদিনে প্রমানিত হয়ে যেত ।
\[\sum_{k=0}^{n-1}e^{\frac{2 \pi i k}{n}}=0\]
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Bapy Biswas
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Re: Twin prine are infinite.

Unread post by Bapy Biswas » Mon Mar 05, 2012 6:54 pm

nafistiham wrote:How are you sure that $P_3$ and $P_4$ are prime.It is true that all the primes till $P_2$ do not divide them.But, that does not mean they are primes.A larger prime may divide them.
Do you read "Nurone Abaro Anuranon" ?
Are u know about Euclid's theory about Prime Numbers are infinite ?

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Phlembac Adib Hasan
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Re: Twin prine are infinite.

Unread post by Phlembac Adib Hasan » Mon Mar 05, 2012 7:20 pm

Bapy Biswas wrote:
nafistiham wrote:How are you sure that $P_3$ and $P_4$ are prime.It is true that all the primes till $P_2$ do not divide them.But, that does not mean they are primes.A larger prime may divide them.
Do you read "Nurone Abaro Anuranon" ?
Are u know about Euclid's theory about Prime Numbers are infinite ?
Not only you, many ''young mathematicians'' have made this mistake.(According to Md. Jafar Iqbal's 'তোমাদের প্রশ্ন আমার উত্তর')Euclid's proof has a second part.(It was not given in "Nurone Abaro Anuranon" for the sake of simplification)
This proof does not find a larger prime.Only confirms us that there exists such one.Notice that if $P_3$ and $P_4$ are not primes, Euclid's proof still works.Because then they must be composite.But they are dividable by none of all primes that we defined.So they must be dividable by a larger prime (let $P_m$) than our defined largest prime.Hence there exists a larger prime $P_m$ than our defined prime.But the existence of $P_m$ breaks your proof.

And an off topic mater : Tiham vaia is one of the most senior and genius campers.So you should think before saying he did not read kidding books like "Nurone Abaro Anuranon".
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nafistiham
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Re: Twin prine are infinite.

Unread post by nafistiham » Tue Mar 06, 2012 6:47 pm

Phlembac Adib Hasan wrote:
And an off topic mater : Tiham vaia is one of the most senior and genius campers.So you should think before saying he did not read kidding books like "Nurone Abaro Anuranon".
ভাই, আমারে এত্ত সিনিয়র বানায়ও না । :lol: :lol:
আর নিউরনে আবারো অনুরণন কোন kidding book না । :ugeek:
\[\sum_{k=0}^{n-1}e^{\frac{2 \pi i k}{n}}=0\]
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Re: Twin prine are infinite.

Unread post by MATHPRITOM » Thu Mar 08, 2012 8:54 am

2*3*5*7*11*13+1=30031=59*509.
so, is 30031 a prime ?

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Re: Twin prine are infinite.

Unread post by MATHPRITOM » Thu Mar 08, 2012 8:57 am

এই ভুলটা আমিও করেছিলাম ।। সবাই জাফর ইকবাল স্যারের " তোমাদের প্রশ্ন , আমার উত্তর " বইটা পড়ে দেখ, স্যার বইটার শেষের দিকে বিষয়টা খুব সুন্দর করে বুঝিয়ে দিয়েছেন ।

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Re: Twin prine are infinite.

Unread post by nafistiham » Thu Mar 08, 2012 9:31 pm

আর একই সাথে এটাও প্রমানিত যে কোনভাবেই এমন বহুপদী বানানো সম্ভব না যেটা দিয়ে নিশ্চিতভাবে মৌলিক সংখ্যা পাওয়া যায় ।
Last edited by nafistiham on Fri Mar 09, 2012 8:50 pm, edited 1 time in total.
\[\sum_{k=0}^{n-1}e^{\frac{2 \pi i k}{n}}=0\]
Using $L^AT_EX$ and following the rules of the forum are very easy but really important, too.Please co-operate.
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