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
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
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Posted by Penny
on 2004-10-22 14:27:23 |