Fermat numbers and Fibonacci numbers on Heron triangles
We mainly give necessary and sufficient conditions for being a Heron triangle in the case of certain classes of an isosceles triangles with the three sides (𝑎, 𝑎, 𝑐), where 𝑐 is an arbitrary positive integer, and 𝑎 is a Fermat or Fibonacci prime.
Main Authors: | Chinnawat Tangkanchanawong, Sawian Jaidee |
---|---|
Format: | Article |
Language: | English |
Published: |
Prince of Songkla University
2022-10-01
|
Series: | Songklanakarin Journal of Science and Technology (SJST) |
Subjects: | |
Online Access: | https://sjst.psu.ac.th/journal/44-5/17.pdf |
Similar Items
-
Fermat $k$-Fibonacci and $k$-Lucas numbers
by: Jhon J. Bravo, et al.
Published: (2020-04-01) -
A rational sine and cosine of the angles of a triangle
by: Edmundas Mazėtis, et al.
Published: (2013-12-01) -
Pseudo-Heronian triangles whose squares of the lengths of one or two sides are prime numbers
by: Edmundas Mazėtis, et al.
Published: (2021-12-01) -
Minimality Conditions Equivalent to the Finitude of Fermat and Mersenne Primes
by: Menachem Shlossberg
Published: (2023-05-01) -
Fibonacci words in hyperbolic Pascal triangles
by: Németh László
Published: (2017-12-01)