mersenneforum.org Prime Constellations 2
 User Name Remember Me? Password
 Register FAQ Search Today's Posts Mark Forums Read

 2017-10-15, 21:39 #23 MattcAnderson     "Matthew Anderson" Dec 2010 Oregon, USA 2·7·43 Posts Hi Internet, Today I made some more examples about k-tuples. You can see my Google Sites webpage. https://sites.google.com/site/3tuples/ I am open to feedback. Regards, Matt
2017-10-18, 03:43   #24
MattcAnderson

"Matthew Anderson"
Dec 2010
Oregon, USA

10010110102 Posts

Hi Internet,

Here is a Maple page for a prime cluster.

Regards,
Matt
Attached Files
 3 prime procedure.pdf (208.4 KB, 117 views)

 2018-07-30, 19:00 #25 danaj   "Dana Jacobsen" Feb 2011 Bangkok, TH 2·3·151 Posts Two Algorithms to Find Primes in Patterns It isn't clear how efficient their code is for tuplets compared to mine. They ran with 150 cores and parallelize in the inner loop. I ran with 4 cores and parallelize at the outermost level for braindead simplicity (e.g. the sieve is serial but I run N ranges at a time). Extrapolating the time on my 4-thread Macbook to range and cores comes out to nearly the same time as they report, but that's a lot of extrapolation. Their wheel is significantly larger than mine. I restrict mine based on space and to some extent speed (larger is not always faster, but it really depends on many factors including the depth and speed of primality testing, where I suspect my testing is faster than theirs). My code just does clusters of {p,p+A,p+B,p+C,...} for any user entered A,B,C,.... Theirs also does things like {p,Ap+A',Bp+B',...} so they can look for Cunningham chains.
2018-07-31, 23:11   #26
bhelmes

Mar 2016

52×11 Posts

Quote:
 Originally Posted by MattcAnderson Attached are probably my last efforts on prime constellation mathematics.

Please try to do a little bit more math,

the polynomial f(n)=n²+n+41 has the discriminant b²-4ac=-163 if you consider f(n)=an²+bn+c,
therefore you could also use the polynomial f(n)=n²+163 with the same discriminant
all primes with p|f(n) "appear" double periodically and can be sieved out by division.

If you are looking for some other quadratic polynomial my website may help you, especially http://devalco.de/poly_sec.php and

for the special polynomial f(n)=n²+163

http://devalco.de/basic_polynomials/...?a=1&b=0&c=163

I hope you will find some new ideas.

Greetings from the quadratic polynomials
Bernhard

 Thread Tools

 Similar Threads Thread Thread Starter Forum Replies Last Post dabaichi News 571 2020-10-26 11:02 MattcAnderson MattcAnderson 119 2018-03-14 20:22 CRGreathouse Software 10 2017-07-14 09:45 emily PrimeNet 3 2013-03-01 05:49 illman-q Miscellaneous Math 33 2004-09-19 05:02

All times are UTC. The time now is 15:41.

Wed Oct 28 15:41:49 UTC 2020 up 48 days, 12:52, 3 users, load averages: 1.45, 1.77, 1.84

Powered by vBulletin® Version 3.8.11
Copyright ©2000 - 2020, Jelsoft Enterprises Ltd.

This forum has received and complied with 0 (zero) government requests for information.

Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation.
A copy of the license is included in the FAQ.