20160719, 14:33  #1 
Mar 2016
2×7×23 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
1,459 Posts 
Quote:


20160720, 10:34  #3  
Mar 2016
322_{10} 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 

Thread Tools  
Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
pyth. trippel and the calculation of pi with them  bhelmes  Math  2  20180422 21:00 
Final Lucas Lehmer residuals and Pythagorean triples  a nicol  Miscellaneous Math  21  20171219 11:34 
pyth. trippel and rotation  bhelmes  Number Theory Discussion Group  5  20170817 21:12 
Pythagorean triples  Rokas  Math  3  20050102 03:50 
Pythagorean Triples  jinydu  Puzzles  6  20031213 10:10 