theory on Mersenne primes ? - Page 2

science_man_88 · 2010-11-04, 22:16

Code:

(19:15) gp > for(x=2,20,for(i=2,30,print1(((x^mersenne[i]-1)-(x^mersenne[i-1]-1))%6","));print())
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,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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,

anyone else see a pattern ? lol
never mind that was disproved easy lol.

science_man_88 · 2010-11-04, 23:46

I think it's disproved anyway even if you allow exceptions with this pattern lol.

science_man_88 · 2010-11-07, 16:44

Quote:

Originally Posted by science_man_88

I think it's disproved anyway even if you allow exceptions with this pattern lol.

is my new theory provable ? / proven ?

CRGreathouse · 2010-11-07, 18:24

Quote:

Originally Posted by science_man_88

is my new theory provable ? / proven ?

I don't understand what the new conjecture is.

science_man_88 · 2010-11-07, 18:57

Quote:

Originally Posted by CRGreathouse

I don't understand what the new conjecture is.

in the code above of :

Code:

for(x=2,20,for(i=2,30,print1(((x^mersenne[i]-1)-(x^mersenne[i-1]-1))%6","));print())
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,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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,

there's a pattern if we can prove this stays true could we use it to figure out the p values ?

CRGreathouse · 2010-11-07, 19:33

Quote:

Originally Posted by science_man_88

there's a pattern if we can prove this stays true could we use it to figure out the p values ?

What pattern are you claiming, precisely?

science_man_88 · 2010-11-07, 20:32

Quote:

Originally Posted by CRGreathouse

What pattern are you claiming, precisely?

Code:

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,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,

repeats lol

CRGreathouse · 2010-11-07, 20:37

You're still not being specific enough. You seem to be saying that

Code:

(x^mersenne[i]-1)-(x^mersenne[i-1]-1)

is 4 mod 6 when x is 2 mod 3 and i = 2, but is 0 mod 6 otherwise. But what is mersenne[i]? A000043? A000668? Something else?

You really can't expect other people to do the work for you when you're asking them to check your conjectures!

science_man_88 · 2010-11-07, 20:38

Quote:

Originally Posted by CRGreathouse

You're still not being specific enough. You seem to be saying that

Code:

(x^mersenne[i]-1)-(x^mersenne[i-1]-1)

is 4 mod 6 when x is 2 mod 3 and i = 2, but is 0 mod 6 otherwise. But what is mersenne[i]? A000043? A000668? Something else?

You really can't expect other people to do the work for you when you're asking them to check your conjectures!

A000043

science_man_88 · 2010-11-07, 21:05

now that pattern looks stupid to help.

even less likely as it seems prime works in that same pattern as well as mersenne

science_man_88 · 2010-11-09, 23:09

I have stuff to add I think to this theory the hard part is how to sum it up.

2010-11-07, 20:37	#19
CRGreathouse Aug 2006 2²·1,493 Posts	You're still not being specific enough. You seem to be saying that Code: (x^mersenne[i]-1)-(x^mersenne[i-1]-1) is 4 mod 6 when x is 2 mod 3 and i = 2, but is 0 mod 6 otherwise. But what is mersenne[i]? A000043? A000668? Something else? You really can't expect other people to do the work for you when you're asking them to check your conjectures!

2010-11-07, 21:05	#21
science_man_88 "Forget I exist" Jul 2009 Dumbassville 8384₁₀ Posts	now that pattern looks stupid to help. even less likely as it seems prime works in that same pattern as well as mersenne Last fiddled with by science_man_88 on 2010-11-07 at 21:17

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2010-11-04, 23:46	#13
science_man_88 "Forget I exist" Jul 2009 Dumbassville 2⁶·131 Posts	I think it's disproved anyway even if you allow exceptions with this pattern lol.

2010-11-09, 23:09	#22
science_man_88 "Forget I exist" Jul 2009 Dumbassville 2⁶·131 Posts	I have stuff to add I think to this theory the hard part is how to sum it up.