Dr Grzegorz Hoppe

Primes

Distrubution and Density of Prime Numbers

 

P – set of Prime Numbers

 

P ∪ (Pu x Pu) =

=  [{2,3,5,7,11} ∪ (24N ± {1,5,7,11})] \ [(30N ± {5}) ∪ (42N ± {7})]

 

(24N ± {1,5,7,11})   ⇒   ∀ p>23 : p mod 24 = {1,5,7,11,13,17,19,23}

[(30N ± {5}) ∪ (42N ± {7})] – numbers divisible by {5,7}

 

p>23 Ꞓ P
p mod 24 = (1,5,7,11,13,17,19,23)

 

P = {2,3,5,7,11} ∪ (24N ± {1,5,7,11})\[{11} ∪ (24N ± {1,5,7,11})] x [{11} ∪ (24N ± {1,5,7,11})]\(30N ± {5})\(42N ± {7})