Where Do You Publish New Patterns?

[Edwin]

Suppose you discover a pattern involving prime numbers, or some other pattern in numbers that may be important to some mathematicians, but the pattern is so simple and straight forward that it does not really rate a whole paper to be written about it. Where do you submit simple patterns for publication? That is, if you discover a pattern in mathematics, how do you, formally, go about puting it out there?

Inquisitively,

Edwin

 

[Pengwuino]

If it is simple and straight forward... I have a feeling it's already been discovered. Have you looked at various publications in the field to make sure it hasn't already been discovered?

 

[CrankFan]

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/

and

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

 

[Edwin]

Thanks for the reference and input!

Best Regards,

Edwin

 

[arildno]

A revolutionary paper in maths can be as short as they come.
Be sure it actually is new and interesting, though.

 

[Orion1]

Edwin, I am calling your bluff!
'New Patterns' are posted right here!
I am not hitting credibility, merely a form of dis-belief...

 

[Edwin]

Your right!

I placed the new pattern here last year!

Best Regards,

Edwin

 

[Hubert]

So...what's the pattern?

 

[rachmaninoff]

https://www.physicsforums.com/showthread.php?t=84090&page=2

 

[Stephan Hoyer]

I suspect you're going to need to prove your pattern formally before it will be taken very seriously. At least show that it is true for arbitrarilly large values of n using a computer. Going up to n=9 is not going to cut it.

 

[Edwin]

Yep,

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