- #26

- 40

- 0

5 x 5 = 1 x 24 + 1

7 x 7 = 2 x 24 + 1

11x11 = 5 x 24 + 1

13x13 = 7 x 24 + 1

17x17 =12 x 24 + 1

19x19 =15 x 24 + 1

23x23 =22 x 24 + 1

For those who think this is totally irrelevant, I've just realised the link with the article by John Baez, refered to earlier.

The other basic magical formula involving 24 is:

1x1 + 2x2+ 3x3 + ....... + 24x24 = 70x70.

Proof:

1x1 + 2x2 + ...nxn = n/6. (n+1).(2n+1).

24/6 = 4 = 2x2 [as Baez says it all boils down to 4x6 = 24]

24+1 = 5x5

2.24+1 = 7x7

2x5x7 = 70