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View Poll Results: Is MM127 Prime?
Yes 16 19.75%
No 43 53.09%
Really Don't Know 22 27.16%
Voters: 81. You may not vote on this poll

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Old 2004-05-27, 02:42   #1
jinydu
 
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Default Is MM127 Prime? Just a Poll

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Old 2006-03-21, 23:28   #2
Uncwilly
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Someone please find a factor for this number.
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Old 2006-03-22, 00:41   #3
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Quote:
Originally Posted by Uncwilly
Someone please find a factor for this number.
Ernst, please? Isn't there someone who can help us?
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Old 2006-03-22, 01:12   #4
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I'd be happy to run a few curves on this number. Maybe someone would be willing to email me the decimal expansion? Then I could work on my Prime95 skills a little bit.
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Old 2006-03-22, 01:23   #5
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Quote:
Originally Posted by jasong
I'd be happy to run a few curves on this number. Maybe someone would be willing to email me the decimal expansion? Then I could work on my Prime95 skills a little bit.

Good luck
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Old 2006-03-22, 01:32   #6
ewmayer
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Quote:
Originally Posted by philmoore
Ernst, please? Isn't there someone who can help us?
Patience - getting Mlucas v3.0 released is by necessity higher on my list of priorities, but OTOH most of the code needed to trial-factor numbers like this is already in place - I just need to do some tuning of the PowerPC client and figure out the best way to organize the search, i.e. hand out ranges and verify work done. Here - by way of a self-kick-in-the-pants, I'll go on record and promise to have this rolling by my birthday (May 15th) - roughly 8 weeks from now.

Just to keep people's expectations reasonable, I estimate the odds of this number having a factor that a decent-sized distributed search (say on the order of a couple hundred CPUs) could find in the next couple of years at roughly 10%. But what a coup it would be to find one...
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Old 2006-03-22, 01:41   #7
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Quote:
Originally Posted by jasong
I'd be happy to run a few curves on this number. Maybe someone would be willing to email me the decimal expansion? Then I could work on my Prime95 skills a little bit.
170141183460469231731687303715884105727
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Old 2006-03-22, 01:52   #8
Uncwilly
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Quote:
Originally Posted by clowns789
170141183460469231731687303715884105727
That's 2^170141183460469231731687303715884105727-1
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Old 2006-03-22, 12:11   #9
R.D. Silverman
 
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Such a poll is ridiculous. We have no basis, other than the
prime number theorem on which to make an assessment.

For M < x < (1 + epsilon)M, x chosen uniformly at random, the
probability that x is prime is 1/log M.

For MM127, the "probability" that it is prime (assuming that it just
another random integer selected from other integers near the same size)
is 1/( M127 * log(2)). This is small indeed.

Unless we are VERY lucky and find a small factor, the true answer is
computationally out of reach.

I don't regard the question as interesting. We already know that that
MMp isn't always prime.
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Old 2006-03-22, 14:32   #10
Uncwilly
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Quote:
Originally Posted by R.D. Silverman
Such a poll is ridiculous. We have no basis, other than the prime number theorem on which to make an assessment.
.......
I don't regard the question as interesting. We already know that that MMp isn't always prime.
The whole idea is not to devine truth from this. Rather to take the temperature of the group. Notice the title of the thread, 'Just a Poll'.
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Old 2006-03-22, 18:21   #11
xilman
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Quote:
Originally Posted by R.D. Silverman
Such a poll is ridiculous. We have no basis, other than the
prime number theorem on which to make an assessment.
Of course it's ridiculous. It's supposed to be ridiculous, as I read it anyway.

Seems to be no more ridiculous than the interminable discussion about some cultural activity called "march madness". At least I can follow what's going on here.

To be fair, the other thread isn't in the Math subforum.


Paul
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