In 2006, a teacher said to his class, an American hero was born X years ago and died at age Y, where Y minus its reverse equals the square of the cube root of (X - Y).

If half the hero's birth year is a prime number whose birthday was the teacher referring to, and what anniversary was 2006?

The hero is Benjamin Franklin. He was born on January 17, 1706. In 2006, Ben Franklin was born 300 years ago. He died at 84. Therefore, X=300 and Y=84. Then, 84-48=36=6^2=(216^(1/3))^2=((300-84)^(1/3))^2. Also, 1706/2=853 is prime. 2006 was Ben Franklin's 300th birthday.

Posted by Math Man on 2025-01-25 20:59:17