In this note, we prove that the Fibonacci version of the Brocard-Ramanujan Diophantine equation n!+ 1 = m2 , that is, Fn · · · F1 + 1 = F 2 m, has no solution in positive integers n, m.
In this note, we prove that the Fibonacci version of the Brocard-RamanujanDiophantine equation n!+ 1 = m2, that is, Fn · · · F1 + 1 = F2m, has no solution in positiveintegers n, m.