12*42=24*21
&
203313*657624=426756*313302
are the smallest and the largest samples I provide for
mirror multiplication
Please provide additional pairs.
let the first number be a 1 followed by K zeros and then a 2
the other number is a 4 followed by K zeros and then a 2
these are then
10^k+2 and 4*10^k+2
multiplying them together we get
4*10^(2k)+10^(k+1)+4
now their reverses are simply
2*10^k+1 and 2*10^k+4
multiplying them together also gets
4*10^(2k)+10^(k+1)+4
thus this pair of numbers works for any integer value of k>=0.

Posted by Daniel
on 20160731 20:59:38 