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lionsbru

Member Since 08 Dec 2013
Offline Last Active Dec 08 2013 12:35 PM
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Posts I've Made

In Topic: Happy Pythagorean Triple Day!! Also, Mother's Day.

08 December 2013 - 10:49 AM

The previous answer lists only PRIMITIVE Triples.  Unless I've misread the rules, I see no cause to omit non-primitive triples, in which case we may add:
 
6/8/10 (6 permutations) 
9/12/15 (4 permutations, 15 can't be the month)
12/16/20 (2 permutations, only 12 can be the month)
 
This yields an additional 12 for a total of 26.
 
For what it's worth, if we follow those who limit Pythagorean Triple DATES to those in which only "C" can be the year, the number is reduced to the following 11:
3/4/5,  4/3/5 
6/8/10, 8/6/10, 
5/12/13, 12/5/13
9/12/15, 12/9/15
8/15/17,     12/16/20,   7/24/25