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-   -   theory on Mersenne primes ? (https://www.mersenneforum.org/showthread.php?t=14151)

science_man_88 2010-11-09 23:10

[CODE](12:16) gp > for(x=2,30,for(i=2,20,print1(((mersenne[i]^x-1)-(mersenne[i-1]^x-1))%6","));print())
5,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
1,2,2,0,4,2,0,0,4,0,2,4,2,0,0,0,0,4,2,
5,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
1,2,2,0,4,2,0,0,4,0,2,4,2,0,0,0,0,4,2,
5,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
1,2,2,0,4,2,0,0,4,0,2,4,2,0,0,0,0,4,2,
5,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
1,2,2,0,4,2,0,0,4,0,2,4,2,0,0,0,0,4,2,
5,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
1,2,2,0,4,2,0,0,4,0,2,4,2,0,0,0,0,4,2,
5,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
1,2,2,0,4,2,0,0,4,0,2,4,2,0,0,0,0,4,2,
5,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
1,2,2,0,4,2,0,0,4,0,2,4,2,0,0,0,0,4,2,
5,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
1,2,2,0,4,2,0,0,4,0,2,4,2,0,0,0,0,4,2,
5,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
1,2,2,0,4,2,0,0,4,0,2,4,2,0,0,0,0,4,2,
5,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
1,2,2,0,4,2,0,0,4,0,2,4,2,0,0,0,0,4,2,
5,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
1,2,2,0,4,2,0,0,4,0,2,4,2,0,0,0,0,4,2,
5,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
1,2,2,0,4,2,0,0,4,0,2,4,2,0,0,0,0,4,2,
5,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
1,2,2,0,4,2,0,0,4,0,2,4,2,0,0,0,0,4,2,
5,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
1,2,2,0,4,2,0,0,4,0,2,4,2,0,0,0,0,4,2,
5,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
(12:17) gp > for(x=2,30,for(i=2,20,print1(((prime(i)^x-1)-(prime(i-1)^x-1))%6","));print())
5,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
1,2,2,4,2,4,2,4,0,2,0,4,2,4,0,0,2,0,4,
5,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
1,2,2,4,2,4,2,4,0,2,0,4,2,4,0,0,2,0,4,
5,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
1,2,2,4,2,4,2,4,0,2,0,4,2,4,0,0,2,0,4,
5,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
1,2,2,4,2,4,2,4,0,2,0,4,2,4,0,0,2,0,4,
5,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
1,2,2,4,2,4,2,4,0,2,0,4,2,4,0,0,2,0,4,
5,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
1,2,2,4,2,4,2,4,0,2,0,4,2,4,0,0,2,0,4,
5,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
1,2,2,4,2,4,2,4,0,2,0,4,2,4,0,0,2,0,4,
5,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
1,2,2,4,2,4,2,4,0,2,0,4,2,4,0,0,2,0,4,
5,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
1,2,2,4,2,4,2,4,0,2,0,4,2,4,0,0,2,0,4,
5,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
1,2,2,4,2,4,2,4,0,2,0,4,2,4,0,0,2,0,4,
5,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
1,2,2,4,2,4,2,4,0,2,0,4,2,4,0,0,2,0,4,
5,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
1,2,2,4,2,4,2,4,0,2,0,4,2,4,0,0,2,0,4,
5,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
1,2,2,4,2,4,2,4,0,2,0,4,2,4,0,0,2,0,4,
5,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
1,2,2,4,2,4,2,4,0,2,0,4,2,4,0,0,2,0,4,
5,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
(12:18) gp > for(x=2,30,for(i=2,20,print1(((prime(x)^i-1)-(prime(x-1)^i-1))%6","));print())
5,1,5,1,5,1,5,1,5,1,5,1,5,1,5,1,5,1,5,
4,2,4,2,4,2,4,2,4,2,4,2,4,2,4,2,4,2,4,
0,2,0,2,0,2,0,2,0,2,0,2,0,2,0,2,0,2,0,
0,4,0,4,0,4,0,4,0,4,0,4,0,4,0,4,0,4,0,
0,2,0,2,0,2,0,2,0,2,0,2,0,2,0,2,0,2,0,
0,4,0,4,0,4,0,4,0,4,0,4,0,4,0,4,0,4,0,
0,2,0,2,0,2,0,2,0,2,0,2,0,2,0,2,0,2,0,
0,4,0,4,0,4,0,4,0,4,0,4,0,4,0,4,0,4,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,2,0,2,0,2,0,2,0,2,0,2,0,2,0,2,0,2,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,4,0,4,0,4,0,4,0,4,0,4,0,4,0,4,0,4,0,
0,2,0,2,0,2,0,2,0,2,0,2,0,2,0,2,0,2,0,
0,4,0,4,0,4,0,4,0,4,0,4,0,4,0,4,0,4,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,2,0,2,0,2,0,2,0,2,0,2,0,2,0,2,0,2,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,4,0,4,0,4,0,4,0,4,0,4,0,4,0,4,0,4,0,
0,2,0,2,0,2,0,2,0,2,0,2,0,2,0,2,0,2,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,4,0,4,0,4,0,4,0,4,0,4,0,4,0,4,0,4,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,2,0,2,0,2,0,2,0,2,0,2,0,2,0,2,0,2,0,
0,4,0,4,0,4,0,4,0,4,0,4,0,4,0,4,0,4,0,
0,2,0,2,0,2,0,2,0,2,0,2,0,2,0,2,0,2,0,
0,4,0,4,0,4,0,4,0,4,0,4,0,4,0,4,0,4,0,
0,2,0,2,0,2,0,2,0,2,0,2,0,2,0,2,0,2,0,
0,4,0,4,0,4,0,4,0,4,0,4,0,4,0,4,0,4,0,
(12:19) gp > for(x=2,30,for(i=2,20,print1(((mersene[x]^i-1)-(mersenne[x-1]^i-1))%6","));print())
*** for: _[_]: not a vector.
(12:19) gp > for(x=2,30,for(i=2,20,print1(((mersenne[x]^i-1)-(mersenne[x-1]^i-1))%6","));print())
5,1,5,1,5,1,5,1,5,1,5,1,5,1,5,1,5,1,5,
4,2,4,2,4,2,4,2,4,2,4,2,4,2,4,2,4,2,4,
0,2,0,2,0,2,0,2,0,2,0,2,0,2,0,2,0,2,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,4,0,4,0,4,0,4,0,4,0,4,0,4,0,4,0,4,0,
0,2,0,2,0,2,0,2,0,2,0,2,0,2,0,2,0,2,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,4,0,4,0,4,0,4,0,4,0,4,0,4,0,4,0,4,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,2,0,2,0,2,0,2,0,2,0,2,0,2,0,2,0,2,0,
0,4,0,4,0,4,0,4,0,4,0,4,0,4,0,4,0,4,0,
0,2,0,2,0,2,0,2,0,2,0,2,0,2,0,2,0,2,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,4,0,4,0,4,0,4,0,4,0,4,0,4,0,4,0,4,0,
0,2,0,2,0,2,0,2,0,2,0,2,0,2,0,2,0,2,0,
0,4,0,4,0,4,0,4,0,4,0,4,0,4,0,4,0,4,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,2,0,2,0,2,0,2,0,2,0,2,0,2,0,2,0,2,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,4,0,4,0,4,0,4,0,4,0,4,0,4,0,4,0,4,0,
0,2,0,2,0,2,0,2,0,2,0,2,0,2,0,2,0,2,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,[/CODE]

this help for information I've been figuring out?

science_man_88 2010-11-10 00:52

I may have found something in this data involving:

[url]http://www.research.att.com/~njas/sequences/A176260[/url] as it's one of the sequences as far as I can see and maybe I we can find a way to like the Mersenne prime exponents to Fibonacci numbers through-> [url]http://www.research.att.com/~njas/sequences/A047264[/url]

just a guess anyone else want to see if it's useful ?

3.14159 2010-11-10 00:52

What the hell are you going on about? :huh: X 2

science_man_88 2010-11-10 00:54

[QUOTE=3.14159;236349]What the hell are you going on about? :huh: X 2[/QUOTE]

do you really want to know ?

okay maybe it's not as useful as i thought as I don't know if or when it will repeat lol. but if can relate the others likewise to sequences maybe we can sort of which x work out lol

CRGreathouse 2010-11-10 05:00

[QUOTE=science_man_88;236348][url]http://www.research.att.com/~njas/sequences/A176260[/url] as it's one of the sequences as far as I can see and maybe I we can find a way to like the Mersenne prime exponents to Fibonacci numbers through-> [url]http://www.research.att.com/~njas/sequences/A047264[/url]

just a guess anyone else want to see if it's useful ?[/QUOTE]

Not useful. If you found something that made it useful, that something would still be useful without A176260.

CRGreathouse 2010-11-10 05:01

[QUOTE=science_man_88;236353]okay maybe it's not as useful as i thought as I don't know if or when it will repeat lol. but if can relate the others likewise to sequences maybe we can sort of which x work out lol[/QUOTE]

There's an amusing site for ideas like this:
[url]http://www.halfbakery.com/[/url]

Even if you don't submit anything you should try reading some of the entries. Some are crazy, others are (naturally!) half-baked, while some almost seem plausible...

science_man_88 2010-11-10 16:38

[QUOTE=CRGreathouse;236384]There's an amusing site for ideas like this:
[url]http://www.halfbakery.com/[/url]

Even if you don't submit anything you should try reading some of the entries. Some are crazy, others are (naturally!) half-baked, while some almost seem plausible...[/QUOTE]

then why is this mersenne forums ?

CRGreathouse 2010-11-10 17:18

[QUOTE=science_man_88;236483]then why is this mersenne forums ?[/QUOTE]

I don't understand the question.

science_man_88 2010-11-10 19:06

[QUOTE=CRGreathouse;236488]I don't understand the question.[/QUOTE]

I figured as much. nobody understands me.

xilman 2010-11-10 19:25

[QUOTE=science_man_88;236510]I figured as much. nobody understands me.[/QUOTE]I understood the question to mean: if this is the Mersenne forum, why is only a small minority of the material posted here anything to do with Mersenne and/or the eponymous numbers.

Of course, I could be wrong.

Paul

CRGreathouse 2010-11-10 19:29

[QUOTE=xilman;236515]I understood the question to mean: if this is the Mersenne forum, why is only a small minority of the material posted here anything to do with Mersenne and/or the eponymous numbers.[/QUOTE]

If that's the case then I understand the question now but can't answer it.


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