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Prime Time Revisited (Posted on 2004-10-22) Difficulty: 2 of 5
Do there exist three 2-digit primes such that:
  • Any two of the three, averaged, produce another prime, and
  • The average of all three is prime

See The Solution Submitted by SilverKnight    
Rating: 3.0000 (8 votes)

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Solution Sieve of Eratosthenes (solution) | Comment 3 of 17 |
answer: 11, 47, 71
 
These are the only three primes that satisfy the puzzle.
 
11 and 47 average to 29.
11 and 71 average to 41
47 and 71 average to 59
 
 
 

Edited on May 24, 2008, 12:17 am
  Posted by Penny on 2004-10-22 14:27:23

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