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View Poll Results: M281414479 Is Mersenne Prime Number?
Yes 0 0%
Not 23 100.00%
Multiple Choice Poll. Voters: 23. You may not vote on this poll

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Old 2016-10-03, 19:27   #1
PaulineEinstein
 
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Default Number Composite Astronomical M281414479

I find myself looking astronomical numbers cousins. patiently waiting for the operating results of my first number M281414479. Missing 544 days and 10:41 hours 0.06%
I love !!!! software prime95 !!!
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Old 2016-10-03, 20:07   #2
CRGreathouse
 
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M281414479 = 2^281414479 - 1 is composite:
Code:
Mod(2, 14917218702833)^281414479
See http://www.mersenne.org/report_expon...ll=1&ecmhist=1

Last fiddled with by CRGreathouse on 2016-10-03 at 20:07
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Old 2016-10-03, 20:41   #3
Prime95
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You just saved Pauline 544 days of wasted CPU time!!! Good thing OP posted on the forum.
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Old 2016-10-04, 13:14   #4
LaurV
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Voted "no", thanks to CRG.
What do I get?
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Old 2016-10-04, 14:42   #5
PaulineEinstein
 
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Question Constant pattern primes

Thank you for your comments and contributions. First I am not academic mathematical. I am fond mathematical. But I'm working on a consecutive pattern of prime numbers. I go crazy for them. I'm still working on this pattern even that everyone says does not exist. Any suggestions for this newbie?
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Old 2016-10-04, 14:45   #6
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Quote:
Originally Posted by PaulineEinstein View Post
Thank you for your comments and contributions. First I am not academic mathematical. I am fond mathematical. But I'm working on a consecutive pattern of prime numbers. I go crazy for them. I'm still working on this pattern even that everyone says does not exist. Any suggestions for this newbie?
read on what pattern allows you to prove things composite and this is coming from someone who's learned more on here and the web than they did in school. . for example if p=4x+3 and 2p+1 is prime then 2p+1 divides the mersenne number 2^p-1.
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Old 2016-10-04, 15:28   #7
PaulineEinstein
 
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Thank you for your comments and contributions. First I am not academic mathematical. I am fond mathematical. But I'm working on a consecutive pattern of prime numbers. I go crazy for them. I'm still working on this pattern even that everyone says does not exist. Any suggestions for this newbie?
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Old 2016-10-04, 15:39   #8
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Quote:
Originally Posted by PaulineEinstein View Post
Thank you for your comments and contributions. First I am not academic mathematical. I am fond mathematical. But I'm working on a consecutive pattern of prime numbers. I go crazy for them. I'm still working on this pattern even that everyone says does not exist. Any suggestions for this newbie?
learn about primes in arithmetic progressions if you want constant pattern primes though you can prove there's a maximum to the number of consecutive prime values.
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Old 2016-10-04, 15:51   #9
retina
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Quote:
Originally Posted by PaulineEinstein View Post
I'm still working on this pattern even that everyone says does not exist.
One wonders what you expect to get after 544 more days? Since a factor exists then, assuming your hardware is running good and true, you'll get a non-zero residue to ponder over. The actual final number doesn't mean anything BTW, other than to confirm it is a composite number. Pretty boring outcome for 544 days of electricity burning wastage.
Quote:
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Any suggestions for this newbie?
Quit this number and run a different one that doesn't have a trivial factor.
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Old 2016-10-04, 16:13   #10
CRGreathouse
 
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Quote:
Originally Posted by PaulineEinstein View Post
I'm still working on this pattern even that everyone says does not exist.
I suggest checking for yourself that 14917218702833 divides 2^281414479 - 1. You could use a calculator like
http://pari.math.u-bordeaux.fr/
or even do it by hand -- this would take 40 modular multiplications (28 of them squaring, which is actually easier) by the usual method, not particularly fast but doable.
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Old 2016-10-04, 16:14   #11
GP2
 
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Can you explain what you wish to accomplish by testing this number with Prime95?

If English isn't your first language, maybe you could even write an explanation in your language and someone on this board might be able to understand and translate it.

Is 281414479 the only number you are interested in, or is there perhaps a list that includes a few other numbers? If so, you could post the list of numbers and then we could suggest another number from the list that might be more useful for the goals of this project.
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