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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: 2.6250 (8 votes)

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Arithmetic progression | Comment 10 of 17 |
If the requirement that the primes are all two digit nimbers is removed, then it is easy to see that any arithmetic sequence of five primes contains three primes which meet the remaining two requirements.
  Posted by Brian Smith on 2004-10-22 22:23:00
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