Number Composite Astronomical M281414479

PaulineEinstein · 2016-10-03, 19:27

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 !!!

CRGreathouse · 2016-10-03, 20:07

M281414479 = 2^281414479 - 1 is composite:

Code:

Mod(2, 14917218702833)^281414479

See http://www.mersenne.org/report_expon...ll=1&ecmhist=1

Prime95 · 2016-10-03, 20:41

You just saved Pauline 544 days of wasted CPU time!!! Good thing OP posted on the forum.

LaurV · 2016-10-04, 13:14

Voted "no", thanks to CRG.
What do I get?

PaulineEinstein · 2016-10-04, 14:42

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?

science_man_88 · 2016-10-04, 14:45

Quote:

Originally Posted by PaulineEinstein

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.

PaulineEinstein · 2016-10-04, 15:28

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?

science_man_88 · 2016-10-04, 15:39

Quote:

Originally Posted by PaulineEinstein

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.

retina · 2016-10-04, 15:51

Quote:

Originally Posted by PaulineEinstein

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:

Originally Posted by PaulineEinstein

Any suggestions for this newbie?

Quit this number and run a different one that doesn't have a trivial factor.

CRGreathouse · 2016-10-04, 16:13

Quote:

Originally Posted by PaulineEinstein

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.

GP2 · 2016-10-04, 16:14

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.

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

2016-10-03, 19:27	#1
PaulineEinstein "Derly Pauline Swanso" Oct 2016 USA 5₁₀ Posts	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 !!!

2016-10-03, 20:07	#2
CRGreathouse Aug 2006 3×1,987 Posts	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

2016-10-04, 14:42	#5
PaulineEinstein "Derly Pauline Swanso" Oct 2016 USA 5 Posts	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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2016-10-03, 20:41	#3
Prime95 P90 years forever! Aug 2002 Yeehaw, FL 2²·3²·7·29 Posts	You just saved Pauline 544 days of wasted CPU time!!! Good thing OP posted on the forum.

2016-10-04, 13:14	#4
LaurV Romulan Interpreter Jun 2011 Thailand 3⁴·113 Posts	Voted "no", thanks to CRG. What do I get?

2016-10-04, 15:28	#7
PaulineEinstein "Derly Pauline Swanso" Oct 2016 USA 5 Posts	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?

2016-10-04, 16:14	#11
GP2 Sep 2003 3²·7·41 Posts	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.