2021-11-30, 14:26 | #155 |
Jan 2007
Germany
516_{10} Posts |
Cunningham Chain
Overworked Cunningham Chain Page is online.
Original is/was by D. Augustin. https://www.pzktupel.de/JensKruseAnd...%20Records.htm regards Norman Last fiddled with by Dr Sardonicus on 2021-11-30 at 14:40 Reason: fignix optsy |
2021-12-05, 04:15 | #156 |
"Matthew Anderson"
Dec 2010
Oregon, USA
2225_{8} Posts |
looks right to me
Thank you for that @Cybertronic.
To interpret the mathematic symbols on the mathplanet.com forum, Some of us see that the prime counting function is defined as pi of n equals the count of the set of all p in the set of all prime numbers such that p is less than n. We saw the attached expression. Maybe no. Regards, Matt ~ Time passed. Second file - definition of prime counting function according to Wikipedia. Sorry, I don't speak much German. |
2022-03-16, 03:58 | #157 |
"Matthew Anderson"
Dec 2010
Oregon, USA
495_{16} Posts |
Matt's equation S = m*n+o+p.
Hi all,
in the world of prime numbers, I wrote computer code to calculate some really big prime numbers. Let S be a Special Value. then we have - Special Value = M * n + o + p. where M is multiplier n is number o is offset and p is pattern I did original calculations to find certain prime numbers with certain patterns many years ago. I thought I would bring this up again because it is so much fun. Matt |
2022-03-20, 02:04 | #158 |
"Matthew Anderson"
Dec 2010
Oregon, USA
3×17×23 Posts |
Prime numbers that Matt found
Hi all,
Because I know that there is an audience for this content, I type this for you. Today will be a short post. Much of this can be found deep in this thread. We start with S = m*n + o + p. where S is a Special value (prime number searching for) m is multiplier (a primorial) n is number (a search parameter, we test S values for prime-ness and increment n) o is offset (these have been calculated and can be looked up at mattanderson.fun) p is pattern (a set of differences between primes) see link https://mattanderson.fun/f/how-to-fi...s-in-a-pattern scroll down to "Data for finding constellations" if you want to do some calculations (and find some primes) yourself. There are actual values for m, o, and p in my other blog. Also, see Norman's site (Cybertronic on Mersenneforum.org) http://www.pzktupel.de/Tables.html My name is in the sub-pages a bit, because of the prime constellations work I did for OEIS.org back in 2006. see OEIS sequence of prime quintuplets Have a nice day. Matt |
2022-06-16, 08:13 | #159 |
"Matthew Anderson"
Dec 2010
Oregon, USA
3×17×23 Posts |
Here comes more on the same subject.
It may be interesting to some. I am not the only one to do original prime constellation calculations for oeis.org The 4 main authors are Authors - N.J.A. Slone = NJAS Warut Roonguthai = WR Matt C. Anderson = MCA Tim Johannes Ohrtmann = TJO See this webpage for details /mattanderson.fun/f/prime-constellations Have a nice day. Regards Matt |
2022-07-08, 05:06 | #160 |
"Matthew Anderson"
Dec 2010
Oregon, USA
1173_{10} Posts |
valued reader, you see that we have by way of inspection
special number equals multiplier times number plus offset plus pattern s=m*n+o+p. |
2022-07-18, 08:34 | #161 |
"Matthew Anderson"
Dec 2010
Oregon, USA
3×17×23 Posts |
There is an oeis sequence for the densest k-tuples (or width of prime constellations).
See oeis.org/A8407 pairs have minimum separation 2 so twin primes 3-tuples have pattern (0,2,6) or (0,4,6) so separation 6 4-tuples in a prime constellation have pattern (0,2,6,8) so separation 8 between the largest and the smallest prime number in the set. and so on. Matt Last fiddled with by MattcAnderson on 2022-07-18 at 08:36 |
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