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Trust me (Posted on 2010-08-10) Difficulty: 1 of 5
Two prime numbers p1 and p2 differ by 11111.

a.What are their sum and product?
b.How long did it take you to solve it?

Remember, no pen and paper.

See The Solution Submitted by Ady TZIDON    
Rating: 5.0000 (1 votes)

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Solution Solution | Comment 2 of 7 |

As all primes but 2 is odd, the difference between any 2 primes that exclude 2 would be even. As p1 and p2 differ by the odd number 11111, the 2 primes are 2 and 11113.
a) The sum of 2 and 11113 is 11115; the product of 2 and 11113 is 22226.
b) Other than to confirm that 11113 was indeed prime, it took only a few seconds to solve it.


 


  Posted by Dej Mar on 2010-08-10 12:34:09
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