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).

m, n and year:
3 7 1844
2 11 1927

found by

CLS
n = 4
DO
 FOR i = 1 TO n / 2
  j = n - i
  li = LOG(i) * j
  IF li < 55 THEN
    y = i ^ j - j ^ i
    IF y > 1700 AND y < 1980 THEN
      PRINT i, j, y
    END IF
  END IF
 NEXT
 n = n + 1
LOOP

Posted by Charlie on 2003-04-02 03:22:19