- #1

- 93

- 1

if you multiply any number of integers whose digits are only 1, the product will always be palandromic. Grab a calculator and see for your self. I would be really interested to see a proof for this phenomena.

heres another one, you;ve probably heard of it before.

take a 4 digit integer. All are > 0, and a maximum of 3 of the digits can be equal.

rearrange the digits in such a fashion where the integer abcd has the property a>b>c>d.

abcd - dcba = a 4 digit integer

Repeat over and over and see what happens.

I would also very much like to see a proof for that.