JANUARY 1, 2004
The Beartown Constable was told that there is only one number between 2 and 200,000,000,000,000 which is a perfect square, cube, and fifth power, and has decided to look for it. So far he has checked out every number up to about 100,000 and is beginning to get somewhat discouraged. CAN YOU HELP HIM FIND THE ANSWER???
Check the next issue of Beartown News for the answer.
FROM LAST MONTH
HOW OLD ARE THEY?
1. Father & Son If Henry's age is multiplied by the age of his father, the product is a permutation of the digits in their individual ages. How old are they?
2. John's Cousins John's age and the ages of his three distant cousins are all prime numbers and the sum of their ages is 50. How old are they? (The number 1 is not considered a prime number)
Answer: Father & Son Henry is three and his father is 51. 3 x 51 = 153.
Answer: John's Cousins John is 43 and his cousins are 2, 2, and 3. For any other value of John's age, more than one combination would exist.
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