- Now I see!!! Interesting coincidence. Thank you very much for informing me this fact. I think from now on I should study about conjectures. Take care.....
**From:**Tanvir Prince <tanvirp123@...>**To:**math_club@yahoogroups.com**Sent:**Wednesday, September 30, 2009 11:10:13 PM**Subject:**Re: [math_club] alphabetical math (Ciphered Message)This conjecture is known as Levy's conjecture. Please read below:In number theory, Lemoine's conjecture, named after Émile Lemoine, also known as Levy's conjecture, after Hyman Levy, states that all odd integers greater than 5 can be represented as the sum of an odd prime number and an even semiprime. To put it algebraically, 2*n*+ 1 =*p*+ 2*q*always has a solution in primes*p*and*q*(not necessarily distinct) for*n*> 2. The Lemoine conjecture is similar to but stronger than Goldbach's weak conjecture.For example, 47 = 13 + 2 × 17 = 37 + 2 × 5 = 41 + 2 × 3 = 43 + 2 × 2. (sequence A046927 in OEIS) counts how many different ways 2*n*+ 1 can be represented as*p*+ 2*q*.According to MathWorld, the conjecture has been verified by Corbitt up to 10^{9}.The conjecture was posed by Émile Lemoine in 1895, but in more recent years came to be attributed to Hyman Levy who pondered it in the 1960s.

So as you can see the proof will be extreamly complicated since still it is a open question.--- On

**Wed, 9/30/09, Mirza Sabbir Hossain Beg**wrote:*<mirzasabbirhossainb eg@yahoo. com>*

From: Mirza Sabbir Hossain Beg <mirzasabbirhossainb eg@yahoo. com>

Subject: Re: [math_club] alphabetical math (Ciphered Message)

To: math_club@yahoogrou ps.com

Date: Wednesday, September 30, 2009, 3:40 AMDear Tanvir, if you think my assumption promising then share it and discuss with all the friends available in this club. Thanks for your mail........

**From:**Tanvir Prince <tanvirp123@yahoo. com>**To:**math_club@yahoogrou ps.com**Sent:**Tuesday, September 29, 2009 8:35:48 PM**Subject:**Re: [math_club] alphabetical math (Ciphered Message)

Yes. you are absolutely right. I made a mistake. I was not that careful. This assumption looks very promisable to me although I do not have any proof.

--- On**Tue, 9/29/09, Mirza Sabbir Hossain Beg**wrote:*<mirzasabbirhossainb eg@yahoo. com>*

From: Mirza Sabbir Hossain Beg <mirzasabbirhossainb eg@yahoo. com>

Subject: Re: [math_club] alphabetical math (Ciphered Message)

To: math_club@yahoogrou ps..com

Date: Tuesday, September 29, 2009, 4:15 AMYes Tanvir, you made the mistake because 2*59 + 13 = 131, where both 59 and 13 are prime number. But pls check my assumption for a greater odd number, perhaps there could be a counter example. Above all I like to thank you for your attempt. Mail me if you can prove or disprove it.. Best regards..... ........

**From:**Tanvir Prince <tanvirp123@yahoo. com>**To:**math_club@yahoogrou ps.com**Sent:**Tuesday, September 29, 2009 2:31:36 AM**Subject:**Re: [math_club] alphabetical math (Ciphered Message)

Your assumption that every odd number bigger than 5 can be written as 2p+q where p and q are prime numbers; I think I found a counter example which is 131.can you write 131 = 2p + q where p and q prime.It is possible that I make a mistake.I use mathematica software to generate a list of numbers of the form 2p+q where p and q runs over all prime numbers starting from 2 to 71 and in that list it looks like 131 is missing..

--- On**Mon, 9/28/09, Mirza Sabbir Hossain Beg**wrote:*<mirzasabbirhossainb eg@yahoo. com>*

From: Mirza Sabbir Hossain Beg <mirzasabbirhossainb eg@yahoo. com>

Subject: Re: [math_club] alphabetical math (Ciphered Message)

To: math_club@yahoogrou ps.com

Date: Monday, September 28, 2009, 5:19 AMMr. Mamun, my assumption: 1. Any odd numbers greater than 5 can be written as this form: 2p + q, where p and q are prime numbers. 2.. Every prime numbers can be written as this form: 2(p+/-q) +/-1, where p and q are any prime numbers. Send me the proof or counter example if it has so. Thanks...... .......

**From:**S. M. Mamun Ar Rashid <mamun305@yahoo. com>**To:**math_club@yahoogrou ps.com**Sent:**Friday, September 25, 2009 10:10:55 PM**Subject:**Re: [math_club] alphabetical math (Ciphered Message)

The problem deals with a ciphered, i.e. encoded message. Your task is to decipher it, that is, to find out a pattern to see whether any**meaningful**English sentence reveals from it. One approach is to employ the**Caesar Method**[named after Julius Caesar, who used such technique of exchanging secret and sensitive messages] in which each letter is**substituted**by another letter. For example, aàc, bàd, càe. If it does not reveal anything, try aàd, bàe, càf. Hope you get the idea.The realm of Secret Message is very ancient, full of conundrums, mysterious, and often bloody.. One story might intrigue you. Mary, the queen of Scots, wanted to assassinate her cousin Queen Elizabeth I of England, and began exchanging secret, ciphered messages with her co-conspirators. But some of Mary's messages were captured by Elizabeth 's spies and after much effort they were cracked by her chief code breaker. Mary was immediately arrested on charge of treason and the deciphered messages were used in trial as evidence. She was found guilty and was beheaded in 1587. All because her cipher was cracked.Regards,Mamun

--- On**Fri, 9/25/09, mathandsnigdha**wrote:*<mathandsnigdha@ yahoo.com>*

From: mathandsnigdha <mathandsnigdha@ yahoo.com>

Subject: [math_club] alphabetical math

To: math_club@yahoogrou ps.com

Date: Friday, September 25, 2009, 7:23 AMin "Neurone Anuranan" problem no-116 is disturbing me 4 a long time......

i fail to catch it...... plz help me to find out its real meaning..... . .... - Mr. Mamun, my assumption: every even integer can be written as: 2p - q + 1 and every odd integer as: 2p - q - 2 where p and q are prime number. Is it possible to prove or disprove my assumption? Pls mail me.............
**From:**S. M. Mamun Ar Rashid <mamun305@...>**To:**math_club@yahoogroups.com**Sent:**Friday, September 25, 2009 10:10:55 PM**Subject:**Re: [math_club] alphabetical math (Ciphered Message)The problem deals with a ciphered, i.e. encoded message. Your task is to decipher it, that is, to find out a pattern to see whether any**meaningful**English sentence reveals from it. One approach is to employ the**Caesar Method**[named after Julius Caesar, who used such technique of exchanging secret and sensitive messages] in which each letter is**substituted**by another letter. For example, aàc, bàd, càe. If it does not reveal anything, try aàd, bàe, càf. Hope you get the idea.The realm of Secret Message is very ancient, full of conundrums, mysterious, and often bloody.. One story might intrigue you. Mary, the queen of Scots, wanted to assassinate her cousin Queen Elizabeth I of England, and began exchanging secret, ciphered messages with her co-conspirators. But some of Mary's messages were captured by Elizabeth 's spies and after much effort they were cracked by her chief code breaker. Mary was immediately arrested on charge of treason and the deciphered messages were used in trial as evidence. She was found guilty and was beheaded in 1587. All because her cipher was cracked.Regards,Mamun--- On

**Fri, 9/25/09, mathandsnigdha**wrote:*<mathandsnigdha@ yahoo.com>*

From: mathandsnigdha <mathandsnigdha@ yahoo.com>

Subject: [math_club] alphabetical math

To: math_club@yahoogrou ps.com

Date: Friday, September 25, 2009, 7:23 AMin "Neurone Anuranan" problem no-116 is disturbing me 4 a long time......

i fail to catch it...... plz help me to find out its real meaning..... . .