# Monthly Archives: June 2010

## The balance of the primes – conjecture

Primes align. This first becomes apparent with the bases 5 and 7; all subsequent primes can be stated as multiples of 3#, adding a base of either 5 or 7. The next alignment occurs using the eight bases 11, 13, … Continue reading

Posted in Prime Number Distribution | Tagged | 2 Comments

## The interdependence of Primes

David Wells’ book on Prime Numbers notes the parallels between lucky numbers and primes, suggesting the role of the sieve (p147/8 under “random” primes). Imagine what the effect would be if one prime was no longer considered to be prime. … Continue reading

## Counting the Primes

Counting the primes: once one realises that Eratosthenes sieve removes composite numbers in repeatable patterns it is a relatively straightforward job of estimating how many integers are left as prime; however since these patterns only start being effective after p … Continue reading

Posted in Prime Number Distribution | Tagged | 11 Comments

## The gaps in the prime number distribution

Considering the prime number distribution is disjointed by a sequence of steps it is possible to explain, in part, some of the longest gaps in the prime number distribution: The first gap of 4 (between 7 and 11) is between … Continue reading

4,9,25,49,121….
2,6,30,210,2310…