20160719, 14:33  #1 
Mar 2016
419 Posts 
pyth. triples and primes
A peaceful day for all,
There is a relationship between the primitiv Pythagorean triples (a,b,c) with a²+b²=c² resp. the corresponding rational points of the circle with unit 1 (a/c)²+(b/c)²=1 and the group of the complex elements x²+y²=1 mod p where x, y are elements of Np. In addition there is a similar relationship between the primitiv Pythagorean triples resp. the corresponding rational points (c/b)²(a/b)²=1 resp. (c/a)²(b/a)²=1 and the group of the complex elements with x²y²=1 mod p where x, y are elements of Np. These relationships are one explication for the system of primes : http://devalco.de/System/system_one_complex_pyth2.php Perhaps there is somone who likes this explication. Suggestion and improvements are welcome. Nice greetings from the primes Bernhard 
20160719, 15:31  #2  
"Robert Gerbicz"
Oct 2005
Hungary
3^{2}·179 Posts 
Quote:


20160720, 10:34  #3  
Mar 2016
419 Posts 
A peaceful day
Quote:
(not very interesting) and the image will be the (0,1) point on the unit circle. I will add this commentar on the page because it is not clearly expressed. Nice greetings from the primes Bernhard 

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