- #1

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Inquisitively,

Edwin

- Thread starter Edwin
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- #1

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Inquisitively,

Edwin

- #2

Pengwuino

Gold Member

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- #3

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Well, if you're talking about patterns of primes or integers...

You may want to have a look at http://www.research.att.com/~njas/sequences/ [Broken]

and

http://www.research.att.com/~njas/sequences/Submit.html [Broken]

You may want to have a look at http://www.research.att.com/~njas/sequences/ [Broken]

and

http://www.research.att.com/~njas/sequences/Submit.html [Broken]

Last edited by a moderator:

- #4

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Thanks for the reference and input!

Best Regards,

Edwin

Best Regards,

Edwin

- #5

arildno

Science Advisor

Homework Helper

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Be sure it actually is new and interesting, though.

- #6

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Edwin, I am calling your bluff!

'New Patterns' are posted right here!

I am not hitting credibility, merely a form of dis-belief...

- #7

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Your right!

I placed the new pattern here last year!

Best Regards,

Edwin

I placed the new pattern here last year!

Best Regards,

Edwin

- #8

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So...what's the pattern?

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- #11

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That's the pattern.

I ran the pattern past the math department at my college, and one of the professors was able to prove, atleast informally, that all products of any two even numbers, and all products of any two odd numbers are contained in the pattern, if I remember correctly. He showed that the products of one even number and one odd number are excluded from the pattern. I'll have to ask him for the formal proof, if he constructed one.

If I remember correctly, I think he used the following algebraic identity

a*b = [(a+b)/2]^2-[(a-b)/2]^2

= (a^2+2a*b+b^2)/4 - (a^2-2*a*b+b^2)/4

4*a*b/4 = a*b

in a quick informal proof that all products of any two even numbers, and products of any two odd numbers are contained in the pattern.

Best Regards,

Edwin

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