2026/05/18 by Daeyeoul Kim, Zekiye Pinar Cihan, Zeynep Demirkol Ozkaya +3
Physics and Astronomy · Mathematics · #Advanced Mathematical Theories and Applications #Advanced Combinatorial Mathematics #Advanced Mathematical Theories
paper · pdf · doi:10.15672/hujms.1823402
In the present paper, we identify all Jacobsthal numbers that may be expressed as a product of three Fibonacci numbers. More precisely, our main result shows that the only solution to the Diophantine equationFkFlFm = Jnfor 2 < k < l < m is expressed as (k,l,m,n) = (5,7,8,12). The proof relies on techniquesinvolving linear forms in logarithms.