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Old 2021-11-30, 14:26   #155
Cybertronic
 
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Jan 2007
Germany

51610 Posts
Default 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
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Old 2021-12-05, 04:15   #156
MattcAnderson
 
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"Matthew Anderson"
Dec 2010
Oregon, USA

22258 Posts
Default 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.
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Old 2022-03-16, 03:58   #157
MattcAnderson
 
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"Matthew Anderson"
Dec 2010
Oregon, USA

49516 Posts
Default 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
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Old 2022-03-20, 02:04   #158
MattcAnderson
 
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"Matthew Anderson"
Dec 2010
Oregon, USA

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Smile 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
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Old 2022-06-16, 08:13   #159
MattcAnderson
 
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"Matthew Anderson"
Dec 2010
Oregon, USA

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Smile

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
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Old 2022-07-08, 05:06   #160
MattcAnderson
 
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"Matthew Anderson"
Dec 2010
Oregon, USA

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Default

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.
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Old 2022-07-18, 08:34   #161
MattcAnderson
 
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"Matthew Anderson"
Dec 2010
Oregon, USA

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Smile

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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