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Puzzle 39.  PRIME NUMBERS

Prime numbers are numbers whose only divisors are one and itself.  For example, 31 is a prime number because its only divisors are 1 and 31.  However, 12 is not a prime number because it can be divided by 1, 2, 3, 4, 6, or 12. 

There are more than 360,000 different 9-digit numbers that can be formed by rearranging the digits in the following number: 

1  2  3  4  5  6  7  8  9

How many of these numbers formed are prime numbers?

 

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Bits and Beyond...

PRIME NUMBERS

Prime numbers have captured the hearts of many mathematicians for centuries.  During 18th century, mathematician Christian Goldbach (1690-1764) wrote to Leonhard Euler that he believed it could be shown that every even integer greater than 2 is the sum of 2 primes.  For example, 30 = 23+7 and  36 = 13+23.  Until now, this conjecture has neither been proved or disproved.

 

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