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Connection between primitive Pythagorean triangles and Mersenne primes.

Authors :
Darbari, Mita
Darbari, Prashans
Source :
AIP Conference Proceedings. 2024, Vol. 3122 Issue 1, p1-5. 5p.
Publication Year :
2024

Abstract

The conjecture regarding Pythagorean Triangles (X, Y, Z) with odd leg X as Mersenne Prime numbers and even leg and hypotenuse as consecutive numbers exist and are primitive Pythagorean Triangles, is proved. Also, proof related to their areas as multiples of perfect numbers is also given. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*PRIME numbers
*PYTHAGOREAN theorem
*TRIANGLES

Details

Language :
English
ISSN :
0094243X
Volume :
3122
Issue :
1
Database :
Academic Search Index
Journal :
AIP Conference Proceedings
Publication Type :
Conference
Accession number :
177948553
Full Text :
https://doi.org/10.1063/5.0216176
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