Unique Groupings found in the first 49 mersenne numbers

ONeil · 2017-12-22, 03:33

I decided to convert the P in the formula 2P-1 to a Numerology number of all the mersenne numbers found to date. As like all of us we searching for patterns to Mersenne Numbers. Well I can say that this graph implies so far that picking a prime number to test maybe more of a hit when choosing a number and that 1 and 5 are good canadates. I might have taken a little random chance out of it when choosing a Prime number to test. Take a look at the graph. When figuring out for P related to a numerology number simply add the number together with this link.

Take for instance the P for the 12th mersenne prime. The P=127. That number adds to 1 in numerology. 1+2=3 3+7=10 10 reduces to 1 in numerology. My current number that is being tested which is on a LL test equals a 5 in numerology. Although I have some mini surprise for us, it's not a sure thing.

What do you guys and gals think, has this been tried before? One oddity that I found is a prime number never adds to a 6 or 9 in numerology. Interesting!

http://www.rkm.com.au/CALCULATORS/CA...umerology.html

The data set beginning with the first P for the first mersenne to the 49 th.

2
3
5
7
4
8
1
4
7
8
8
1
8
4
1
7
4
4
5
4
5
5
8
2
2
7
1
5
1
1
1
2
5
1
2
2
5
5
1
1
4
5
7
2
5
1
8
5
4

Batalov · 2017-12-22, 03:46

Quote:

Originally Posted by ONeil

What do you guys and gals think, has this been tried before? One oddity that I found is a prime number never adds to a 6 or 9 in numerology. Interesting!

What you call "numerology number" is the residual after dividing by 9. Isn't it?
Now, if some number "p" is 9x+6 or 9x+9, do you think it can be prime?
If "p" is not prime, can 2^p-1 be prime?

There you go. Oddity? Interesting? not really.

retina · 2017-12-22, 03:46

Haha, well good luck.

But why not choose 0, 6 or 9? They are the most underrepresented so clearly they should be more likely to come up. Right? I mean just to even up the numbers. It would be awful (not aweful) if 1 and 5 got away from the others.

Here we go again ... patterns in Mersenne primes, and yet only 49 samples to work with.

And why base-10. What is special about base-10? What is the rationale behind choosing base-10? Oh wait, did I use a made up word "rationale"?

ONeil · 2017-12-22, 08:28

Quote:

Originally Posted by Batalov

What you call "numerology number" is the residual after dividing by 9. Isn't it?
Now, if some number "p" is 9x+6 or 9x+9, do you think it can be prime?
If "p" is not prime, can 2^p-1 be prime?

There you go. Oddity? Interesting? not really.

No dividing just adding till you end up with one digit 1-9.

9x+9 no I don't believe so. Show me a number using this equation which will give you a prime number.

retina · 2017-12-22, 08:34

Quote:

Originally Posted by ONeil

9x+9 no I don't believe so. Show me a number using this equation which will give you a prime number.

x = -2/3 yields a prime.

Batalov · 2017-12-22, 09:21

Quote:

Originally Posted by ONeil

No dividing just adding till you end up with one digit 1-9.

That's you saying yes without even understanding that you said yes.

Let me give you an example.
Suppose someone gives you a number 1899867868118...781326427864827.
Question 1. Is it odd or even?
Question 2. Do you need to know what is in the '...' part to answer Question 1?
Question 3. Do you need to know anything at all except the last digit?
Question 4. Did you use division to answer questions 1-3?
The answer to Question 4 is no, you didn't have to use division, but you did get a remainder from division by 2: either odd ('1') or even ('2' or '0').

Residue from division by 9 is very similar -- you can get it without division.
What is the residue of 4275?
Residue from 4000 is 4;
Residue from 200 is 2;
Residue from 70 is 7;
Residue from 5 is 5;
and if you sum these four lines up you will get:
Residue from 4275 is 4+2+7+5.
Pick up some math textbook. You will find a lot of interesting things.

ONeil · 2017-12-22, 10:01

Quote:

Originally Posted by Batalov

That's you saying yes without even understanding that you said yes.

Let me give you an example.
Suppose someone gives you a number 1899867868118...781326427864827.
Question 1. Is it odd or even?
Question 2. Do you need to know what is in the '...' part to answer Question 1?
Question 3. Do you need to know anything at all except the last digit?
Question 4. Did you use division to answer questions 1-3?
The answer to Question 4 is no, you didn't have to use division, but you did get a remainder from division by 2: either odd ('1') or even ('2' or '0').

Residue from division by 9 is very similar -- you can get it without division.
What is the residue of 4275?
Residue from 4000 is 4;
Residue from 200 is 2;
Residue from 70 is 7;
Residue from 5 is 5;
and if you sum these four lines up you will get:
Residue from 4275 is 4+2+7+5.
Pick up some math textbook. You will find a lot of interesting things.

I believe the graph I posted where numerology shows for P the possibility for choosing a prime number that becomes mersenne had gone up a tad; it is still shooting in the dark with now a sliver of light. It's not much, but I think I have shown a pattern where 1 and 5 could be better choices. I remain optimistic and maybe I gave you a tool.

axn · 2017-12-22, 10:52

Quote:

Originally Posted by ONeil

No dividing just adding till you end up with one digit 1-9.

https://en.wikipedia.org/wiki/Casting_out_nines

LaurV · 2017-12-23, 05:26

Quote:

Originally Posted by axn

https://en.wikipedia.org/wiki/Casting_out_nines

+1 (you were faster, again!)

ONeil · 2017-12-23, 08:19

Quote:

Originally Posted by LaurV

+1 (you were faster, again!)

Are you guys suggesting the data on mersenne primes for a statement that P when adding to 5 or 1 in numerology is the best choice when choosing for P is just coincidence for now? What if I'm right? Then say in another 50 years the data proves this would I be credited for taking a bit of randomness out of finding mersenne primes?

retina · 2017-12-23, 08:52

Quote:

Originally Posted by ONeil

Are you guys suggesting the data on mersenne primes for a statement that P when adding to 5 or 1 in numerology is the best choice when choosing for P is just coincidence for now? What if I'm right? Then say in another 50 years the data proves this would I be credited for taking a bit of randomness out of finding mersenne primes?

Your "analysis" is meaningless. You don't have nearly enough data points by far to come to any conclusion. Who is to say that 1 & 5 are are the "trend"? Maybe they have used up all their allotment and other numbers will come to match them? The point is that you just don't know, you simply assumed based upon a measly 49 points without any reasoning behind such an assumption.

Plus my mention of base-10 above was not addressed by you. Why base-10? Why not the residue in base-69 or base-42? What is the rationale behind base-10? How is it special that it can predict prime exponents for Mesenne numbers?

2017-12-22, 03:33	#1
ONeil Dec 2017 11110000₂ Posts	Unique Groupings found in the first 49 mersenne numbers I decided to convert the P in the formula 2P-1 to a Numerology number of all the mersenne numbers found to date. As like all of us we searching for patterns to Mersenne Numbers. Well I can say that this graph implies so far that picking a prime number to test maybe more of a hit when choosing a number and that 1 and 5 are good canadates. I might have taken a little random chance out of it when choosing a Prime number to test. Take a look at the graph. When figuring out for P related to a numerology number simply add the number together with this link. Take for instance the P for the 12th mersenne prime. The P=127. That number adds to 1 in numerology. 1+2=3 3+7=10 10 reduces to 1 in numerology. My current number that is being tested which is on a LL test equals a 5 in numerology. Although I have some mini surprise for us, it's not a sure thing. What do you guys and gals think, has this been tried before? One oddity that I found is a prime number never adds to a 6 or 9 in numerology. Interesting! http://www.rkm.com.au/CALCULATORS/CA...umerology.html The data set beginning with the first P for the first mersenne to the 49 th. 2 3 5 7 4 8 1 4 7 8 8 1 8 4 1 7 4 4 5 4 5 5 8 2 2 7 1 5 1 1 1 2 5 1 2 2 5 5 1 1 4 5 7 2 5 1 8 5 4 Attached Thumbnails Last fiddled with by ONeil on 2017-12-22 at 03:38

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2017-12-22, 03:46	#3
retina Undefined "The unspeakable one" Jun 2006 My evil lair 6,449 Posts	Haha, well good luck. But why not choose 0, 6 or 9? They are the most underrepresented so clearly they should be more likely to come up. Right? I mean just to even up the numbers. It would be awful (not aweful) if 1 and 5 got away from the others. Here we go again ... patterns in Mersenne primes, and yet only 49 samples to work with. And why base-10. What is special about base-10? What is the rationale behind choosing base-10? Oh wait, did I use a made up word "rationale"?