Title A107006

Artur grafix at csl.pl
Wed Apr 23 12:06:59 CEST 2008


In my private opinion title of A107006 
<http://www.research.att.com/%7Enjas/sequences/A107006> will be better 
changed on easiest "Primes of the form 24k+7"
Best wishes
Artur





Artur,  Thanks for this comment.  Let me explain what I did and why.

I KNOW the definition is  Primes of the form 4x^2-4xy+7y^2, with x and y nonnegative

You tell me this is the same as  Primes of the form 24n+7.

But do you have a proof?  This subject is very tricky, as you know.
Have you studied the book by Cox ?

I am not CERTAIN you have a proof that they are the same,
with your name attached, in case it is wrong!

You see, I get a lot of comments from amateurs, who
think that because two sequences agree for 40 terms,
they are the same.  I cannot stop and ask each person,
"do you have a proof, or is what you tell me just a guess?"

In fact, many of the people who use the OEIS don't even know what a proof is!

In this case you may well have a proof, of course - do you?

Best regards

Neil

>Date: Wed, 23 Apr 2008 12:06:59 +0200
>From: Artur <grafix at csl.pl>
>Reply-To: grafix at csl.pl
>To: seqfan <seqfan at ext.jussieu.fr>, noe at sspectra.com
>Subject: Title A107006

>In my private opinion the title of A107006 
><http://www.research.att.com/%7Enjas/sequences/A107006> would be better 
>if it was changed to the simpler version: "Primes of the form 24k+7"
>Artur






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