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

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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

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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

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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

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The role of p squared


4,9,25,49,121….
2,6,30,210,2310…
1,2,8,48,480,5760.. Continue reading

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Prime Number Alignment & resultant helices/spirals


Prime Number Alignment – Helices or Spirals Prime numbers can be written in the form p(i)+np(i-1)#, often in multiple forms, thus taking a random selection of prime numbers (6947 onwards):   3 5 7 11 13 Prime Number 2# 3# … Continue reading

Posted in Patterns, Prime Formula, Prime Number Distribution | Tagged , , | 13 Comments