Saranya Hangsawat, Ronnason Chinram, Poramin Prabnarong, "Positive Solutions of Diophantine Equation 2/x+3/y+4/z = 1/3," WSEAS Transactions on Mathematics, vol. 24, pp. 787-793, 2025, DOI:10.37394/23206.2025.24.78
Saranya Hangsawat, Ronnason Chinram, Poramin Prabnarong. Positive Solutions of Diophantine Equation 2/x+3/y+4/z = 1/3.
WSEAS Transactions on Mathematics. 2025;24:787-793. 10.37394/23206.2025.24.78
WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 24, 2025
Positive Solutions of Diophantine Equation 2/x+3/y+4/z = 1/3
Authors: , ,
Abstract: The Erdös-Straus conjecture states that for every positive integer n ≥ 2, there exist three natural numbers x, y, and z, not necessarily distinct, so that 1/x + 1/y + 1/z = 4/n. In this paper, we consider the Diophantine equation 2/x+3/y+4/z =1/3. We find positive solutions of this Diophantine equation.
Keywords:
Diophantine equations, positive integer solutions, Erdös-Straus conjecture, Egyptian fractions, fractions, sums of fractions
Pages: 787-793 WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 24, 2025, Art. #78 DOI: 10.37394/23206.2025.24.78
×
Citation Tools