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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 Spoiler. | Comment 1 of 17
I have found one set, I think there may be more.

47, 71, 11

(47+71)/2=59
(47+11)/2=29
(71+11)/2=41

(47+71+11)/3=43.

  Posted by Juggler on 2004-10-22 13:24:22
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