Detection and Rarefaction of the Twin Primes Numbers



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Submitted Feb 24, 2023
Published Apr 11, 2023
10.24018/ejmath.2023.4.2.216

Abstract viewed = 78 times

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In this manuscript are considered 3 types of numbers:

a) integral numbers like for example (x)=10^10

b) prime numbers whose properties is to be only divisible by themselves 

c) twin numbers

The number of twin primes contained under the number (x) is here derived by:

1) a mathematical function proposed by Gauss (1792-1796) based on a converging logarithmic sum,

2) Euclid’s theorems on prime numbers.

Keywords: Prime numbers Gauss Euclid Theorem of arithmetic

References

  1. Gracián E. I numeri primi: un lungo cammino verso l'infinito. RBA Italia; 2016. Italian.
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  2. Lizana AF, Tamborini M. Una rivoluzione nella teoria dei numeri: Gauss. 2012. Italian.
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