To warm-up: Which 2-digit number is 1 more than a square and 1 less than a cube?
And a little bit harder: Can you find a three digit number which is 2 less than a cube and 2 more than a square?
Hint: the three digit number I can find is made of consecutive digits, like 567.
OK, fo r a Monday morning, here goes...
ReplyDelete1. 27(3 cubed), 26, 25 5 sq.)
2. 125(5 cubed), 123 121 (11 sq.)
Not bad for a Monday morning! ;-)
ReplyDelete26 is between 25 (5X5) and 27 (3X3X3)
123 is two more than 121 (11X11) and two less than 125 (5X5X5)