Solution #54: Odd Product
69. The cube root of 357,627 is slightly less than 71. It seems that
69 x 71 x 73 is a possible product. The result can be verified.
Note that 9 x 1 x 3 = 27, thus making the last digit a 7, which is a good
Alternatively, solve a cubic equation by setting up a product of successive odd
numbers, say, a-2, a, and a+2. This setup produces a more workable equation
than does 2n-1, 2n+1, and 2n+3.
Source: Mathematics Teacher