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Marko Manninen
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  • Milad Alchemist
  • Leben
  • Rhuben Neal (Barbitone)

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Marko Manninen posted a blog post

Doubling sequence of the reciprocal primes ie. cyclic numbers demystified

I think I have found the rule that explains, not exactly doubling, but increment patterns of the decimal sequences. It just needs elaboration and tuning.For reciprocal primes below 10, for example 1/7 substract 7 from 10 and use it as an increment base:Sum[(10-7)^(n-1)/10^n, {n, 1, Infinity}] = Sum[3^(n-1)/10^n, {n, 1, Infinity}]=> 0.142857...Or the beginning of the iteration:1  3   9  18   54   162    486    1458     4374     13122----------142.......For reciprocal primes below 100, for…See More
Jul 20, 2015
Riseball commented on Marko Manninen's blog post Every prime number divisor in fibonacci has a repeating cycle
"The formula for the primer I originally thought of is (6n±1) which is like two formulas (6n-1 and 6n+1)(note, this does not include (2 and 3). Those two formulas would give you the PRIME PRIMER green columns shown above (5,7,11,13,17,19,…"
Jan 28, 2015
Marko Manninen posted a blog post

Doubling again with multitudes and fractions of seven

1/7 has a repeating pattern as we know: .142857This can be seen also as a doubling of 7 with two decimal slot addition:07.14 28 56 112 224 448 896 ->07142856        112          224            448              896 ->07142857142857......Now if you square the result (1/7^2 = 1/49) we are transferred to more familiar doubling sequence presented on other blog post (…See More
Jan 28, 2015
Marko Manninen commented on Marko Manninen's blog post Every prime number divisor in fibonacci has a repeating cycle
"That was nice, I was playing with it few times. Have you made a mathematical formula / function to get nth prime and list of primes from 1-n? It would be nice to compare to other generators like: http://en.wikipedia.org/wiki/Sieve_of_Eratosthenes"
Jan 28, 2015
Riseball commented on Marko Manninen's blog post Every prime number divisor in fibonacci has a repeating cycle
"Prime numbers do follow a pattern. Simply take all the numbers NOT DIVISIBLE by 2 and 3 This will give you a list with two rows, the easiest way to show this is write down numbers (1-6) then continue a row down... eg. 1 2 3  4  5  …"
Dec 4, 2014
Marko Manninen posted a blog post

Every prime number divisor in fibonacci has a repeating cycle

I just realized, why all modulos has a repeating patterns in Fibonacci sequence. It is because every prime number has a repeating cycle on the sequence. 72 first Fibonacci numbers has 63 prime divisors and they appear in certain index of the Fibonacci sequence.{0: 1, -> number 1 is a divisor for all numbers  2: 3, -> number 2 repeats every third position  3: 4, -> number 3 repeats every fourth position. thus number 6 will repeat every 12 position  5: 5,  7: 16,  11: 20,  13: 7,  17:…See More
Nov 26, 2014
Marko Manninen posted photos
Nov 23, 2014
Marko Manninen posted blog posts
Nov 18, 2014
Marko Manninen posted a photo

24 double three number sets mirror summing up to 999

I found 24 different combinations of the 1,2,4,5,7,8 number set, that can be split to three number sequences, so that they will result 9 when mirrored numbers are added.Right:124875- - -999but wrong:124578- - -6 9 12From 24 sets I see 6, that comes…
Nov 18, 2014
Marko Manninen posted a photo
Jun 4, 2014
Marko Manninen posted a blog post

Doubling area

I wonder if people have made research about doubling the area (and maybe the volume) and related number patterns? Next table (missing footer part of the whole) is a demonstration of the calculus of the doubling with square root 2. I find few interesting patterns over there that brings to the very basics of reduced number sequences of 1*2*3*4*5*6*7.…See More
Jun 4, 2014
Marko Manninen and Milad Alchemist are now friends
Feb 7, 2014
Marko Manninen commented on Marko Manninen's blog post Fascinating serie of 1/49
"Thank you, time glasses becoming clear now. 6 times  6+1 cycles. Reminds me of the Biblical connections also: 7*6 = 12*3.5 = 42 -> *30 = 1260. Somehwat special is here, that you start with dual digits, but soon will reach three digits number…"
Jan 18, 2014
Marko Manninen and Leben are now friends
Jan 17, 2014
Leben commented on Marko Manninen's blog post Fascinating serie of 1/49
Jan 16, 2014

On going research paper

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Marko Manninen's Blog

Doubling sequence of the reciprocal primes ie. cyclic numbers demystified

I think I have found the rule that explains, not exactly doubling, but increment patterns of the decimal sequences. It just needs elaboration and tuning.

For reciprocal primes below 10, for example 1/7 substract 7 from 10 and use it as an increment base:

Sum[(10-7)^(n-1)/10^n, {n, 1, Infinity}] = Sum[3^(n-1)/10^n, {n, 1, Infinity}]

=> 0.142857...

Or the beginning of the iteration:…

Continue

Posted on July 20, 2015 at 9:00am

Doubling again with multitudes and fractions of seven

1/7 has a repeating pattern as we know: .142857

This can be seen also as a doubling of 7 with two decimal slot addition:

07.14 28 56 112 224 448 896 ->…

Continue

Posted on January 28, 2015 at 9:30am

Every prime number divisor in fibonacci has a repeating cycle

I just realized, why all modulos has a repeating patterns in Fibonacci sequence. It is because every prime number has a repeating cycle on the sequence. 72 first Fibonacci numbers has 63 prime divisors and they appear in certain index of the Fibonacci sequence.

{0: 1, -> number 1 is a divisor for all numbers

 2: 3, -> number 2 repeats every third position

 3: 4, -> number 3 repeats every fourth position. thus number 6 will repeat every 12 position

 5:…

Continue

Posted on November 26, 2014 at 12:30pm — 3 Comments

Half way mirrored digital root 9 pattern of fibonacci sequence

Reducing fibonacci sequence by mirroring its digital root 9 pattern:



1 1 2 3 5 8 4 3 7 1 8 9

8 8 7 6 4 1 5 6 2 8 1 9

- - - - - - - - - - - -

9 9 9 9 9 9 9 9 9 9 9 9



Vertical grouping:



1    8    9    A

1    8    9    A

2    7    9    B

3    6     9    C

5     4    9    D

8    1     9    A-

4    5     9    D-

3    6     9    C

7    2    9    B-

1    8    9    A

8    1     9    A-

9    9  …

Continue

Posted on November 18, 2014 at 11:30am

Comment Wall (3 comments)

At 2:04pm on July 25, 2013, Leben said…

glad to have you here, let's start some threads!!!

At 3:36pm on July 25, 2013, Marko Manninen said…
Good to see some activity as well! Im off for festivals, but will be back after a week or two. Since a lot of work has been done, researched and discussed, what do you think are open questions at the moment? Real world applications? What about in theoretical side?
At 1:20pm on July 26, 2013, Leben said…

it's difficult to say with certainty what the 'open questions' are ... I think it's different for everyone. What are YOU'RE questions???

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