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• Hello! TO ALL! Any one my Brother who help me about the solution of the following linear Diophantine equations, I am very worried about that, so if anyone who
Message 1 of 6 , Feb 9, 2006
Hello! TO ALL!
Any one my Brother who help me about the
solution of the following linear Diophantine
equations, I am very worried about that, so if anyone
who want to help me please send me the solution via
attachment of Scanned Document, or MS-Word attachment,
or any mean. This is my request to All of U!

These Exercises about the solution "LINEAR DIOPHANTINE
EQUATION"

ExERCISE: Find the general solution for the following
equation:

1. 252x + 580y =20

2. 85x + 34y =51

3. 85x + 34y =53

4. 8x + 10y =42

5. 321x + 105y =1

6. 31x - 7y =2

7. 45x + 63y =450

8. 170x - 455y =625

EXERCISE: Find positive solution of the following
simultaneous linear diophantine eqution:
7x + 11y + 13z = 125
3x + 4y + 5z = 48

Bye! TAKE CARE!

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• Hello! TO ALL! Any one my Brother who help me about the solution of the following linear Diophantine equations, I am very worried about that, so if anyone who
Message 2 of 6 , Feb 9, 2006
Hello! TO ALL!
Any one my Brother who help me about the
solution of the following linear Diophantine
equations, I am very worried about that, so if anyone
who want to help me please send me the solution via
attachment of Scanned Document, or MS-Word attachment,
or any mean. This is my request to All of U!

These Exercises about the solution "LINEAR DIOPHANTINE
EQUATION"

ExERCISE: Find the general solution for the following
equation:

1. 252x + 580y =20

2. 85x + 34y =51

3. 85x + 34y =53

4. 8x + 10y =42

5. 321x + 105y =1

6. 31x - 7y =2

7. 45x + 63y =450

8. 170x - 455y =625

EXERCISE: Find positive solution of the following
simultaneous linear diophantine eqution:
7x + 11y + 13z = 125
3x + 4y + 5z = 48

Bye! TAKE CARE!

__________________________________________________
Do You Yahoo!?
Tired of spam? Yahoo! Mail has the best spam protection around
http://mail.yahoo.com
• Hello Muhammad This group is not an apropriate place for solving your homework problems. You can use Yahoo Answers instead. Payam ... [Non-text portions of
Message 3 of 6 , Feb 10, 2006

This group is not an apropriate place for solving your homework problems.

Payam

On 2/9/06, Muhammad Idrees <idrees1000@...> wrote:
>
> Hello! TO ALL!
> Any one my Brother who help me about the
> solution of the following linear Diophantine
> equations, I am very worried about that, so if anyone
> who want to help me please send me the solution via
> attachment of Scanned Document, or MS-Word attachment,
> or any mean. This is my request to All of U!
>
>
>
> These Exercises about the solution "LINEAR DIOPHANTINE
> EQUATION"
>
> ExERCISE: Find the general solution for the following
> equation:
>
> 1. 252x + 580y =20
>
> 2. 85x + 34y =51
>
> 3. 85x + 34y =53
>
> 4. 8x + 10y =42
>
> 5. 321x + 105y =1
>
> 6. 31x - 7y =2
>
> 7. 45x + 63y =450
>
> 8. 170x - 455y =625
>
>
> EXERCISE: Find positive solution of the following
> simultaneous linear diophantine eqution:
> 7x + 11y + 13z = 125
> 3x + 4y + 5z = 48
>
>
> Bye! TAKE CARE!
>

[Non-text portions of this message have been removed]
• In an attempt to make something on-topic out of this... EXERCISE: Consider the diophantine equations: 7x + 11y + 13z = 125 3x + 4y + 5z = 48 Note that a
Message 4 of 6 , Feb 10, 2006
In an attempt to make something on-topic out of this...

EXERCISE: Consider the diophantine equations:
7x + 11y + 13z = 125
3x + 4y + 5z = 48

Note that a particularly pretty solution is:

(x,y,z) = (-3001, -4001, 5011)

And that 3001, 4001, and 5011 are all twin primes. :)
• Hello, I agree with you Jack I believe that we need a definition of pretty though. Perhaps a prime can be called pretty when there are long strings of the
Message 5 of 6 , Feb 10, 2006
Hello,
I agree with you Jack
I believe that we need a definition of "pretty"
though.

Perhaps a prime can be called pretty when there are
long strings of the same digit in its decimal
representation?

Pavlos
--- jbrennen <jb@...> wrote:

> In an attempt to make something on-topic out of
> this...
>
> EXERCISE: Consider the diophantine equations:
> 7x + 11y + 13z = 125
> 3x + 4y + 5z = 48
>
> Note that a particularly pretty solution is:
>
> (x,y,z) = (-3001, -4001, 5011)
>
> And that 3001, 4001, and 5011 are all twin primes.
> :)
>
>
>
>
>
>

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• Speaking of pretty, here is a different kind of pretty: 1+2*3^4 = 163 is prime. (Just looked and it s in Prime Curios!) 2^(2^2^2-1) + (2^2^2-1)^2 = 32993 is
Message 6 of 6 , Feb 10, 2006
Speaking of pretty, here is a different kind of pretty:

1+2*3^4 = 163 is prime. (Just looked and it's in Prime Curios!)

2^(2^2^2-1) + (2^2^2-1)^2 = 32993 is prime. (Also in Prime Curios!)

(3^4-1)^(3^4) + (3^4)^(3^4-1) is a 155 digit prime.

(7^3-1)^(7^3) + (7^3)^(7^3-1) is a 870 digit prime.
(Proven by Paul Leyland, see

On a different note,

n^(n+1) - (n+1)^n is prime for n=3,6,9,12, and ... 44.
(Up to 100. Hehe, I no longer expect primes to yield a pattern for
very long. )

n^(n+1) + (n+1)^n is prime for n = 3^(1^2)-1 and n=3^(2^2)-1.
Hoping against hope, might it be prime for
n=3^(3^2)-1 or perhaps
n=3^(3^3)-1 or perhaps
n=3^(2^4)-1 or ?
(Don't know, goes too high for what I have.)

Mark

--- In primenumbers@yahoogroups.com, Pavlos S <pavlos199@...> wrote:
>
> Hello,
> I agree with you Jack
> I believe that we need a definition of "pretty"
> though.
>
> Perhaps a prime can be called pretty when there are
> long strings of the same digit in its decimal
> representation?
>
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