A new family of imaginary quadratic fields whose class number is divisible by five Original Research Article

In this paper, we prove that the class number of the imaginary quadratic field image (sgreater-or-equal, slanted0) is divisible by 5, where Fn is the nth number in the Fibonacci sequence. Moreover we give a polynomial with integer coefficients whose splitting field over image is an unramified cyclic quintic extension of image.