**
The Amazing Story of the Ruth-Aaron Numbers**

*
In all humility I hesitated to add this item to the collection.
The mathematics is quite straightforward -- anyone with a passing knowledge
of the transcendentals such as pi will immediately grasp.
But first you have to get around the issue that in the United States a strange game called ***baseball**
is played in which Babe Ruth and Hank Aaron have a status akin to that of Don
Bradman in a real ball sport.
Even mathematicians in the US have a passing knowledge of this game. Now Babe Ruth's career regular-season home run total
was 714, a record which Aaron eclipsed on April 8, 1974, when he hit his 715th career home run. So struggle on...
Thus 714 and 715 are the Ruth-Aaron Numbers. Got it? Read on!

The mathematician, and baseball follower, Carl Pomerance, named the numbers 714 and 715
the Ruth-Aaron Numbers, after a student discovered that 714 and 715 had (different) prime factors with the
same sum.

But there was far more to be discovered about the Ruth-Aaron Numbers:

Ivars Peterson
made the amazing discovery that the sum of the Ruth-Aaron Numbers,
714 and 715, is a backwards-forwards-sideways prime:

*In detail*: 714 + 715 = 1429.
This is a prime number -- its only factors are itself and(arguably) one.
The claim was that if you scrambled the digits in 1429
in accord to the backwards and sideways concepts,
-- you would still have a prime number. Thus:
- Forwards 1429 is prime
- Backwards 9241 is prime
- Sideways 9421 is prime
- Sideways 4129 is prime
- Sideways 4219 is prime
- sideways 1492 Eh? Eh?

So 1429, 9241, 1249, 9421, 4129, 4219 are all prime numbers.

As to 1492? That couldn't be more **prime**
to an American who called the competition in which Ruth and Aaron
played the ** World Series **
--
1492 was the year that Columbus 'discovered' America.

What's more, 714 x 715 = 2 x 3 x 5 x 7 x 11 x 13 x 17 -- the product of the first seven primes. This must be the clincher !!

So we too accept
Ivars Peterson's
claim
that 1429 is a backwards-forwards-sideways prime,
on the basis of sufficient kutzpah.