theory on Mersenne primes ? - Page 3

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,

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:

http://www.research.att.com/~njas/sequences/A176260 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-> http://www.research.att.com/~njas/sequences/A047264

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?

X 2

science_man_88 · 2010-11-10, 00:54

Quote:

Originally Posted by 3.14159

What the hell are you going on about?

X 2

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:

Originally Posted by science_man_88

http://www.research.att.com/~njas/sequences/A176260 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-> http://www.research.att.com/~njas/sequences/A047264

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

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:

Originally Posted by science_man_88

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

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

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:

Originally Posted by CRGreathouse

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

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...

then why is this mersenne forums ?

CRGreathouse · 2010-11-10, 17:18

Quote:

Originally Posted by science_man_88

then why is this mersenne forums ?

I don't understand the question.

science_man_88 · 2010-11-10, 19:06

Quote:

Originally Posted by CRGreathouse

I don't understand the question.

I figured as much. nobody understands me.

xilman · 2010-11-10, 19:25

Quote:

Originally Posted by science_man_88

I figured as much. nobody understands me.

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:

Originally Posted by xilman

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.

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

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2010-11-10, 00:52	#24
science_man_88 "Forget I exist" Jul 2009 Dumbassville 2⁶×131 Posts	I may have found something in this data involving: http://www.research.att.com/~njas/sequences/A176260 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-> http://www.research.att.com/~njas/sequences/A047264 just a guess anyone else want to see if it's useful ?

2010-11-10, 00:52	#25
3.14159 May 2010 Prime hunting commission. 2⁴×3×5×7 Posts	What the hell are you going on about? X 2