The Prime Web |

Start page

Constructing the web

A web overview

Exploring the web

A constructing alternative

A prime formula

The mersenne primes

Summary

The prime circle

Contact

In creating a number web according to this algorithm you mark a new number with an empty square, and you also bring with you the patterns from all the previous numbers. This should result in that all composite numbers are perforated with empty squares, while the prime numbers should show up like entirely filled stacks. Furthermore the last empty square of each number should create a sort of empty “canal” representing the ordinary line of numbers we are used to. And all this is what happens. This also means that the prime numbers are created without any preknowledge of where in the integer number series they occur. Take a look at this “Number Web” showing the first 39 numbers. In the second illustration the prime numbers are colored with yellow.

This number web illustrates how the integer numbers in the number series are constructed and how they relate to each other. It is easy to trace the factors, the products, the squares and the prime numbers. Each filled square are bricks of which the numbers are build, and it is fascinating that the filled stacks of the prime numbers occur in five (or six) different modes or directions. To start with we find that asides from the horizontal and vertical stacks each prime number also form filled diagonals, like this:

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© *Gunnar Appelqvist* 2009

Latest update 2009-01-29