How Does the Squared Pattern Relate to Prime Numbers?

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

The discussion centers on the relationship between the squared pattern and prime numbers, specifically how to extend a given matrix that represents these patterns. Participants clarify that both rows and columns can be expanded indefinitely, emphasizing the importance of understanding the differences between prime numbers as represented in the second column of the matrix. The conversation also highlights the need for precise terminology, correcting the spelling of "column" and reinforcing the focus on prime number sequences.

PREREQUISITES
  • Understanding of prime number sequences
  • Familiarity with matrix representation in mathematics
  • Basic knowledge of patterns in number theory
  • Ability to interpret mathematical notation
NEXT STEPS
  • Explore the concept of prime gaps and their significance in number theory
  • Learn about matrix operations and their applications in mathematical patterns
  • Investigate the properties of squared patterns in relation to prime numbers
  • Study the BicycleTree pattern and its implications for mathematical sequences
USEFUL FOR

Mathematicians, educators, students of number theory, and anyone interested in the patterns and relationships of prime numbers.

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

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

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
3K
  • · Replies 7 ·
Replies
7
Views
2K
Replies
8
Views
2K
  • · Replies 1 ·
Replies
1
Views
1K
  • · Replies 3 ·
Replies
3
Views
1K
  • · Replies 4 ·
Replies
4
Views
3K
  • · Replies 4 ·
Replies
4
Views
3K
  • · Replies 3 ·
Replies
3
Views
950
  • · Replies 3 ·
Replies
3
Views
2K