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Search: Posts Made By: cyrix
Forum: Operazione Doppi Mersennes 2014-01-25, 12:19
Replies: 490
Sticky: Reservations
Views: 34,535
Posted By cyrix
Reserving FermatFactor=37,110e15,130e15 ...

Reserving

FermatFactor=37,110e15,130e15

Cyrix
Forum: Operazione Doppi Mersennes 2013-12-05, 11:13
Replies: 490
Sticky: Reservations
Views: 34,535
Posted By cyrix
FermatFactor=37,100e15,110e15 Cyrix

FermatFactor=37,100e15,110e15

Cyrix
Forum: Operazione Doppi Mersennes 2013-12-05, 11:11
Replies: 620
Sticky: Results
Views: 48,121
Posted By cyrix
no factor for k*2^36+1 in k range: 250P to 260P...

no factor for k*2^36+1 in k range: 250P to 260P (94-bit factors) [mmff 0.27 mfaktc_barrett96_F32_63gs]

Cyrix
Forum: Operazione Doppi Mersennes 2013-10-04, 11:50
Replies: 490
Sticky: Reservations
Views: 34,535
Posted By cyrix
reserving FermatFactor=36,250e15,260e15 ...

reserving
FermatFactor=36,250e15,260e15

Cyrix
Forum: Operazione Doppi Mersennes 2013-10-04, 11:47
Replies: 620
Sticky: Results
Views: 48,121
Posted By cyrix
no factor for k*2^36+1 in k range: 220P to 230P...

no factor for k*2^36+1 in k range: 220P to 230P (94-bit factors) [mmff 0.27 mfaktc_barrett96_F32_63gs]]
Forum: Operazione Doppi Mersennes 2013-09-03, 12:54
Replies: 490
Sticky: Reservations
Views: 34,535
Posted By cyrix
Reserving FermatFactor=36,220e15,230e15 ...

Reserving

FermatFactor=36,220e15,230e15


Cyrix
Forum: Information & Answers 2011-08-10, 04:22
Replies: 103
Views: 7,262
Posted By cyrix
first guess

Hi!
My English isn't very well, so let us concentrate on the math.

The main problem is determining the probability, that P-1 finds a factor under the condition, that trial factoring didn't.

So...
Forum: Lounge 2006-12-03, 01:32
Replies: 118
Views: 7,864
Posted By cyrix
Mine, too :) Thanks. :)

Mine, too :)

Thanks. :)
Forum: Lounge 2006-10-09, 21:08
Replies: 118
Views: 7,864
Posted By cyrix
All done.

All done.
Forum: Computer Science & Computational Number Theory 2006-09-11, 21:53
Replies: 171
Views: 14,743
Posted By cyrix
2^32582657 -3 is divisible by 23 and 523657 (and...

2^32582657 -3 is divisible by 23 and 523657 (and no other prime < 5000000)

Cyrix
Forum: News 2006-09-04, 19:13
Replies: 201
Views: 23,091
Posted By cyrix
M44 might be, no, *IS* here

George Woltman on the prime-list:

> A computer has reported finding the 44th known Mersenne prime! I'll
> arrange for a verification run soon. More details will be available
> when the...
Forum: Miscellaneous Math 2006-07-30, 12:11
Replies: 20
Views: 1,371
Posted By cyrix
Hi bearnol! Your "proof" provides nothing,...

Hi bearnol!

Your "proof" provides nothing, and is also false.


First: What do you show?
If your "proof" would be correct, it would only show, that the zeors of the zeta function are lying...
Forum: Lounge 2006-03-06, 20:33
Replies: 85
Views: 6,674
Posted By cyrix
Mine arrived, too. Thanks to Xyzzy and Curtis...

Mine arrived, too. Thanks to Xyzzy and Curtis Cooper! :)

Cyrix
Forum: Lounge 2006-02-18, 12:14
Replies: 85
Views: 6,674
Posted By cyrix
Mailed 2/24.

Mailed 2/24.
Forum: News 2005-12-24, 15:30
Replies: 265
Views: 22,130
Posted By cyrix
:banana: :banana: :banana:

:banana: :banana: :banana:
Forum: Lounge 2005-09-11, 20:02
Replies: 21
Views: 1,187
Posted By cyrix
Hi ixfd64! If \pi is random (which is...

Hi ixfd64!

If \pi is random (which is unproven, but most people think so), then you can find every finite string (of numbers) in the decimal expansion of \pi .

cyrix
Forum: Math 2005-09-11, 19:50
Replies: 12
Views: 1,079
Posted By cyrix
These two statements are related, yes. But the...

These two statements are related, yes. But the 5^... is stronger, because it uses the litte Fermat, too.

For q=53 the number 5 is a quadratic residue, but M_q does not hold a fermat-test with base...
Forum: Math 2005-09-11, 18:51
Replies: 12
Views: 1,079
Posted By cyrix
We proved the "\Rightarrow", the "\Leftarrow" is...

We proved the "\Rightarrow", the "\Leftarrow" is true for all prime q=4n+1<3000 (I tested it with Maple).

But even when this is a real test (and the equvialence is true), it would cost as much...
Forum: Math 2005-09-11, 17:30
Replies: 12
Views: 1,079
Posted By cyrix
In the End: Your (second) Conjecture is false, sorry

Hi Tony!

For q=53 we have M_q=6,361 \cdot 69,431 \cdot 20,394,401 , for all of these primefactors 5 is a quadratic residue, so 5 is also a quadratic residue of M_q=M_{53} , so this is a counter...
Forum: Math 2005-09-11, 15:00
Replies: 12
Views: 1,079
Posted By cyrix
sorry Tony! I messed something up. Now in a...

sorry Tony!
I messed something up. Now in a better form:



M_q \equiv 3 \pmod 4 , but since 5 \equiv 1 \pmod 4 the reciprocity law works in the same way, So you can find a solution X with ...
Forum: Math 2005-09-11, 10:47
Replies: 12
Views: 1,079
Posted By cyrix
Hi T.Rex! For prime M_q with q \equiv 1...

Hi T.Rex!

For prime M_q with q \equiv 1 \pmod 4 (and q>1) your conjecture is true: Because of the quadratic reciprocity law (Gauß) 5 is a quadratic residue of M_q , iff M_q is quadratic...
Forum: Math 2005-09-10, 22:54
Replies: 12
Views: 1,079
Posted By cyrix
Hi T.Rex! Your Conjecture is false! All...

Hi T.Rex!

Your Conjecture is false!

All conditions are equal: R^2+R-1=0 mod M, this means R_{1/2}= -1/2 +- \sqrt{1/4+1}= (-1+-sqrt(5))/2.

For q=5 we have M=31 and sqrt(5)= +-6, thus we have...
Forum: Riesel Prime Search 2004-12-27, 22:22
Replies: 599
Views: 31,952
Posted By cyrix
Hi, I'd like to work on k=105 a little bit...

Hi,

I'd like to work on k=105 a little bit further.

Cyrix
Forum: Factoring 2004-10-23, 17:14
Replies: 261
Views: 17,920
Posted By cyrix
Hi, "M1061 completed 100 ECM curves, B1=44000000,...

Hi, "M1061 completed 100 ECM curves, B1=44000000, B2=4290000000"

Cyrix
Forum: Prime Sierpinski Project 2004-06-24, 23:06
Replies: 15
Views: 2,239
Posted By cyrix
It's just me: cyrix p.s.: At the moment my...

It's just me: cyrix

p.s.: At the moment my computer is working for the rieselsieve-project, so in the next time I won't be so active in this project.

Cyrix
Showing results 1 to 25 of 58

 
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