Both my Father and my Father's Grandfather were born in years that can be expressed as [(m)^n - (n)^m], where 'm' and 'n' are both positive integers. In which years were they born ?

(Note: (a)^b implies: 'a' raised to the power of 'b', or 'a' multiplies 'b' number of times).

*** Year of birth of the father is 1927, as:
2^11 - 11^2 = 1927

*** Year of birth of the father's grandfather is 1844, as:
3^7 - 7^3 = 1844.

Edited on October 22, 2023, 8:32 am

Posted by K Sengupta on 2007-11-23 04:11:31