@article{oai:aue.repo.nii.ac.jp:00006356, author = {Aoki, Miho and Kishi, Yasuhiro}, journal = {Journal of number theory}, month = {Jul}, note = {We construct a new infinite family of pairs of imaginary quadratic fields with both class numbers divisible by five. Let n be a positive integer that satisfy n ≡ ±3 (mod 500) and n ≢ 0 (mod 3). We prove that 5 divides the class numbers of both Q(√<2-F_n>) and Q(√<5(2-F_n)>), where F_n is the nth Fibonacci number.}, pages = {333--343}, title = {An infinite family of pairs of imaginary quadratic fields with both class numbers divisible by five}, volume = {176}, year = {2017} }