Sample #1: 5 7 9 11
(7 x 9) (5 x 11) = 63 55 = 8
Sample #2: 1 3 5 7
(3 x 5) (1 x 7) = 15-7 = 8
Sample #3: 21 23 25 27
(23 x 25) (21 x 27) = 575 567 = 8
1st way:
w x y z
(x * y) (w * z) = 8
w + 2 = x x + 2 = y y + 2 = z
w = x 2
(x * (x+2)) ((x 2)(x + 4))
(x^2 + 2x) (x^2 + 4x 2x 8)
(x^2 + 2x) (x^2 + x -8) = 8
2nd way:
x= Any odd number
Each consecutive odd number you have to add 2 to x, than 4 to
x, than 6 to x to get your four consecutive odd counting numbers
to work with.
x+ x +2 x+4 x+6
((x + 2) (x +4)) (x (x + 6))
(x^2 + 6x + 8) (x^2 + 6x) = 8