For an algebraic number field K, the Pólya group of K, denoted by Po(K), is the subgroup of the ideal class group \(Cl_{K}\) generated by the ideal classes of the products of prime ideals of the same norm. The number field K is said to be Pólya if Po(K) is trivial. Motivated by several recent studies on the group Po(K) when K is a totally real bi-quadratic field, we investigate the same with five distinct odd primes ramifying in \(K/\mathbb {Q}\) . This extends the previous results on this problem, where the number of distinct ramified odd primes was at most four.
