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Old 2012-03-13, 09:02   #1
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Default Can I specify the range to search the Mersenne Prime?

Can I specify the range to search the Mersenne Prime?
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Old 2012-03-13, 11:33   #2
Mini-Geek
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Yes, at http://www.mersenne.org/manual_assignment/ (make sure you're logged in first to associate the reservation with your account) you can specify the exponent range you'd like to reserve.

Last fiddled with by Mini-Geek on 2012-03-13 at 11:36
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Old 2012-03-13, 13:51   #3
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Quote:
Originally Posted by Mini-Geek View Post
Yes, at http://www.mersenne.org/manual_assignment/ (make sure you're logged in first to associate the reservation with your account) you can specify the exponent range you'd like to reserve.
Range?

A novice user should not reserve more than one number.
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Old 2012-03-13, 14:04   #4
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Quote:
Originally Posted by R.D. Silverman View Post
Range?

A novice user should not reserve more than one number.
It was only a bad choice of words: One can specify the range from where the exponent(s) are reserved.

Although by reserving one number you are also reserving a range consisting of one number, so...

In any case, the meaning of Mini-Geeks reply was evident once you follow the link (as the OP will obviously do).
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Old 2012-03-13, 14:50   #5
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Quote:
Originally Posted by R.D. Silverman View Post
Range?

A novice user should not reserve more than one number.
It will take a long time for testing a Mersenne Number being prime or not?
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Old 2012-03-13, 17:05   #6
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Quote:
Originally Posted by Unregistered View Post
It will take a long time for testing a Mersenne Number being prime or not?
from what I've heard here and there,it depends on the size of the exponent, if it's a LL, DC LL, TF, or P-1, the machine it's done on, and it also depends on what you call a long time.

Last fiddled with by science_man_88 on 2012-03-13 at 17:07
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Old 2012-03-13, 17:18   #7
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Originally Posted by science_man_88 View Post
from what I've heard here and there,it depends on the size of the exponent, if it's a LL, DC LL, TF, or P-1, the machine it's done on, and it also depends on what you call a long time.
Just only test the M47, how long the time it will take? One day , or a week?
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Old 2012-03-13, 17:34   #8
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Quote:
Originally Posted by Unregistered View Post
It will take a long time for testing a Mersenne Number being prime or not?
Depending on the exponent you choose and the hardware you have, it could take between few minutes (to prove the number composite, if you are lucky) and few years. We could help you better if you say what computer you have and what software you intend to use. If you don't know the last, then ask.
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Old 2012-03-13, 22:30   #9
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Quote:
Originally Posted by R.D. Silverman View Post
Range?

A novice user should not reserve more than one number.
Quote:
Originally Posted by science_man_88 View Post
from what I've heard here and there,it depends on the size of the exponent, if it's a LL, DC LL, TF, or P-1, the machine it's done on, and it also depends on what you call a long time.
Speaking personally, I'm a 60 minute man
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Old 2012-03-14, 09:53   #10
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Just only test the M47, how long the time it will take? One day , or a week?
As LaurV writes, it depends enormously on your hardware, plus whether a Lucas Lehmer test (determining primality or compositeness) is actually necessary because no factor is found. It also obviously depends on how much of the time your machine is running: not all of us leave our machines on when they are not being used.

But a ball-park for the current wave-front of first-time Lucas Lehmer tests (typical exponent just over 50 million) ranges from a week or two for top quality hardware running 24 hours a day, through to maybe 6 months for modest hardware running only when you are using your computer. It would take me 6 months to test a 50M exponent.
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Old 2012-03-14, 11:15   #11
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Originally Posted by Brian-E View Post
As LaurV writes, it depends enormously on your hardware, plus whether a Lucas Lehmer test (determining primality or compositeness) is actually necessary because no factor is found. It also obviously depends on how much of the time your machine is running: not all of us leave our machines on when they are not being used.

But a ball-park for the current wave-front of first-time Lucas Lehmer tests (typical exponent just over 50 million) ranges from a week or two for top quality hardware running 24 hours a day, through to maybe 6 months for modest hardware running only when you are using your computer. It would take me 6 months to test a 50M exponent.
Thank you , your answer (the second part) is what i want!
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