
Number Theory Number Theory Math Forum 
 LinkBack  Thread Tools  Display Modes 
January 19th, 2014, 07:53 AM  #11  
Member Joined: Jan 2014 Posts: 44 Thanks: 0  Re: Formula for all and only primitive Pythagorean triples. Quote:
 
January 19th, 2014, 09:54 PM  #12 
Banned Camp Joined: Dec 2012 Posts: 1,028 Thanks: 24  Re: Formula for all and only primitive Pythagorean triples.
Very sorry I rewrite with more care: A1) Given an odd integer A, there are ALWAYS two integers B and C that satisfy: A^2 = C^2B^2 If you keep: A, B= (A^21)/2, C= (A^2+1)/2 so you can see all triplets sorted by A odds. A2) To obtain triplets for ALL even integers you've to keep for A even: A, B= [(A/2)^2 ]1, C= [(A/2)^2 ]+1 so you can see all triplets sorted by A even. With this 2 formulas you will obtain a triplet for any A from A=1 to infinite. Thanks & sorry Ciao S. 

Tags 
formula, primitive, pythagorean, triples 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Primitive Pythagorean Triples (PPT)  billymac00  Number Theory  19  March 19th, 2013 07:38 PM 
Primitive Pythagorean Triples  nonlinear  Number Theory  10  October 3rd, 2011 10:03 PM 
How many Pythagorean triples?  Pell's fish  Number Theory  3  August 5th, 2011 10:38 AM 
Pythagorean Triples  julian21  Number Theory  2  November 13th, 2010 12:01 PM 
Pythagorean Triples II  julian21  Number Theory  3  November 12th, 2010 11:58 AM 