Hi all There are lots of ways to reduce the symphony of the primes to just two different notes. For instance, any prime over 3 can be expressed as 6t - 1 or 6t...
12815
Mark Underwood
marku606
Jul 3, 2003 5:14 am
Hi all I've been toying with the expression p^n + 2^m as a prime generator, where p is a prime and n and m are from 1 to p. Based on the little data I have...
12816
antonioveloz2
Jul 3, 2003 8:58 pm
The following is an elementary way to attack Goldbach's conjecture, the Twin Primes conjecture and many other problems in prime number theory. Let...
12817
Andy Swallow
umistphd2003
Jul 3, 2003 9:46 pm
Could we pass a law? 'Anyone submitting proofs must typeset them nicely' Please? It's a dream anyway... Andy...
12818
antonioveloz2
Jul 3, 2003 9:52 pm
... I apologize. I will make a pdf file and a mathematica program with the paper and post a link to them. I would also like to state that I do not claim to...
12819
Andy Swallow
umistphd2003
Jul 3, 2003 10:14 pm
Hey, its ok, I was only half serious. It's difficult to set it out in plain text anyway! Andy ... From: "antonioveloz2" <antonioveloz2@...> To:...
12820
Andy Swallow
umistphd2003
Jul 3, 2003 10:27 pm
Your proof is a bit difficult to follow, so I can't comment much. But it seems extremely suspicious that the Omega function should appear like that in theorem...
12821
antonioveloz2
Jul 3, 2003 10:44 pm
... But it ... like that...
12822
antonioveloz2
Jul 3, 2003 10:56 pm
... But it ... like that ... Sorry about the last post. I actually meant to print the following. We are considering the sentence p(x)t(x) and its associated...
12823
mikeoakes2@...
mikeoakes2
Jul 4, 2003 9:03 am
In a message dated 03/07/03 06:15:50 GMT Daylight Time, ... A guess too far, Mark! 149 is (first) prime not so generated. Mike Oakes [Non-text portions of this...
12824
Zak Seidov
seidovzf
Jul 4, 2003 4:34 pm
Shalom, all! 2,3,5,7,23,29,37,53,73,373 (A085823?) Is this list of primes with all prime substings full? Thanks, Zak...
12825
Ray Telford
fatray2@...
Jul 4, 2003 4:45 pm
... Shalom. ... when people state things like (A085823), what do they mean? i guess its a reference number to some list of lists of numbers, but where? thanks...
Shalom all, 2,13,23,113,137,373,1973,1733,1373,10337,10313,31379,37337,113173, 211373,313739,337397,1113173,1003733 (A085822?) Is this list of smallest primes...
12828
mikeoakes2@...
mikeoakes2
Jul 4, 2003 5:31 pm
In a message dated 04/07/03 18:03:30 GMT Daylight Time, seidovzf@... ... Searching OEIS with the initial terms: 1,2,13,23,113,137,373 gives: ID Number:...
12829
Richard Traynham
therichardt
Jul 4, 2003 10:53 pm
So, what's next: Politically Correct Maths? Personally I *hate* PDF. Hmmm (muses to self: I wonder what Pytho and Archie used... PDF, HTML, UML, ....?) Fav...
12830
Richard Traynham
therichardt
Jul 4, 2003 10:59 pm
Cool post! (peace frood; richard t -- out trying to find a "classical construction" for a pentagon; star of texas, and all that sort of thing. I just heard...
12831
sleephound
Jul 5, 2003 2:51 pm
Primes of the form X^2+Y^2 are of the form 4n+1, Primes of the form X^2+2Y^2 are of the form 8n+1 or 8n+1. Some other examples of quadratic forms yielding...
12832
Mark Underwood
marku606
Jul 6, 2003 5:56 am
I find this all very interesting, it is new to me. What specifically caught my attention was the linear representation of primes generated by the equation x^2...
12833
mikeoakes2@...
mikeoakes2
Jul 6, 2003 12:19 pm
In a message dated 06/07/03 06:57:13 GMT Daylight Time, ... In fact, the fraction of primes p congruent to 1 or 3 or 5 or 9 or 15 mod 22 which can be so...
12834
mikeoakes2@...
mikeoakes2
Jul 6, 2003 4:44 pm
... haven't been > able to determine the polynomial explicitly By searching a subspace of the space of all cubics, I have found a suitable one (it is not...
12835
Mark Underwood
marku606
Jul 6, 2003 8:12 pm
Thanks Mike. Your findings are starting to go over my head but are very appreciated. I shall have to look into this further. Based on your conclusion that "p...
12836
mikeoakes2@...
mikeoakes2
Jul 6, 2003 9:29 pm
In a message dated 05/07/03 15:52:25 GMT Daylight Time, sleephound@... ... For there to be a characterisation of the form "p = x^2 + n*y2 iff p = r_1 or...
12837
Satoshi Tomabechi
tomabeti2000
Jul 7, 2003 1:07 am
On Sun, 6 Jul 2003 08:19:29 EDT ... Hilbert polynomial of the quadratic field with discriminant -44 is x^3-1122662608*x^2+270413882112*x-653249011576832 ...
12838
sleephound
Jul 7, 2003 3:22 am
... I've found two places on the web where I think h(-44)=3 ought to show up, and it isn't in either place: http://mathworld.wolfram.com/ClassNumber.html ...
12839
mikeoakes2@...
mikeoakes2
Jul 7, 2003 8:23 am
In a message dated 07/07/03 04:23:08 GMT Daylight Time, sleephound@... ... h(-12) = h(-28) = 1 give n = 3 resp. 7. h(-60) = 2 gives n = 15. Ok? Notice...
12840
mikeoakes2@...
mikeoakes2
Jul 7, 2003 8:31 am
In a message dated 07/07/03 02:08:44 GMT Daylight Time, ... Thanks! Can you reduce it? (I'm no pari expert) - it ought to be equivalent to my cubic. Mike Oakes...
12841
bejjinks
Jul 7, 2003 9:45 am
Recently I saw a movie from A&E called "Longitude". It is the story of John Harrison. John Harrison invented the first clock that was accurate within a second...
12842
Décio Luiz Gazzoni...
decio@...
Jul 7, 2003 10:27 am
... Hash: SHA1 ... Quite simple, PUBLISH IT. That's how it's been done for centuries. If your work is as good as you claim, you're surely not going the way of...
12843
Jon Perry
jon_perryuk
Jul 7, 2003 6:06 pm
Calculating (very slowly) the primes only from n; http://www.users.globalnet.co.uk/~perry/maths/morepartitionfunction/morepart itionfunction.htm Jon Perry ...
