The pattern of differences is: 1991 - 1964 = 27 = 3³, 1964 - 1900 = 64 = 4³, 1900 - 1775 = 125 = 5³. The next difference should be 6³ = 216. Therefore, 1775 - 216 = 1559. This is a cube series where each term decreases by consecutive cubes starting from 3³.