How Does the Squared Pattern Relate to Prime Numbers?

  • Context: Graduate 
  • Thread starter Thread starter AntonVrba
  • Start date Start date
Click For Summary

Discussion Overview

The discussion revolves around the relationship between a specific squared pattern and prime numbers, exploring how to extend the pattern with additional rows and columns. Participants engage with the mathematical structure and implications of the pattern, as well as the connections to prime number differences.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • Some participants propose expanding the given squared pattern by adding both new rows and columns indefinitely.
  • There is a clarification regarding the terminology, with participants correcting the spelling of "column" and discussing the implications of expanding the pattern.
  • One participant notes that the second column of the pattern reflects the differences between consecutive prime numbers, suggesting a potential connection to the overall problem.
  • Another participant expresses uncertainty about how to find the next elements in the pattern, indicating that the relationship to primes may not directly lead to a solution.

Areas of Agreement / Disagreement

Participants generally agree on the possibility of expanding the pattern, but there is uncertainty regarding the relationship between the rows and columns and how they relate to the prime numbers. The discussion remains unresolved regarding the next steps in finding the pattern's extension.

Contextual Notes

There are limitations in the discussion regarding the assumptions made about the pattern's structure and the relationship to prime numbers, as well as the lack of a clear method for determining the next row and column.

AntonVrba
Messages
92
Reaction score
0
Inspired by BicycleTree's patterns

[tex]\begin{array}{c,c,c,c,c,c,c,c,c,c,c}<br /> 0&1&1&1&1&1&1&1&1&1&1\\<br /> 0&2&1&2&1&2&1&2&2&1&1\\<br /> 0&2&1&3&2&4&3&4&1&2&1\\<br /> 0&4&6&3&5&2&1&3&2&6&1\\<br /> 0&2&6&8&1&7&9&4&8&10&3\\<br /> 0&4&6&10&3&5&11&2&4&8&1\\<br /> 0&2&6&12&14&3&7&9&13&2&8\\<br /> 0&4&10&12&18&3&5&9&15&2&4\\<br /> \end{array}[/tex]

Find the next row and columb
 
Mathematics news on Phys.org
AntonVrba said:
Inspired by BicycleTree's patterns
Find the next row and columb


When you say next "row and column" you mean that there is a whole new row AND a whole new column added onto that? Or is there just another row?
 
And it's not columb,but Columbus...:-p I think you meant to fill in the last line.

It's "column".

Daniel.
 
Rahmuss said:
When you say next "row and column" you mean that there is a whole new row AND a whole new column added onto that? Or is there just another row?

Yes rows AND columns can be expanded indefinately.

yes it is column not columb but then the b is next to the n on the keyboard
 
AntonVrba said:
Yes rows AND columns can be expanded indefinately.

yes it is column not columb but then the b is next to the n on the keyboard

Do the row and column go together? Or can I find the row and still not know what the next column is? Because there aren't an equal amount of rows and columns...
 
I have no clue for an answer. I note however the the second column is the differences between the primes.

2
-- 1
3
-- 2
5
-- 2
7
-- 4
11
-- 2
13
-- 4
17
-- 2
19
-- 4
23

This probably has no bearing on the solution.
 
jimmysnyder said:
I have no clue for an answer. I note however the the second column is the differences between the primes.
.
you will find the solution only by using primes
 

Similar threads

  • · Replies 24 ·
Replies
24
Views
3K
  • · Replies 3 ·
Replies
3
Views
4K
  • · Replies 5 ·
Replies
5
Views
929
  • · Replies 7 ·
Replies
7
Views
3K
Replies
8
Views
3K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 3 ·
Replies
3
Views
1K
  • · Replies 4 ·
Replies
4
Views
3K
  • · Replies 4 ·
Replies
4
Views
3K
  • · Replies 3 ·
Replies
3
Views
2K