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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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re(3): Arithmetic progression | Comment 13 of 17 |
(In reply to re(2): Arithmetic progression by owl)

Okay, there are tons of these sequences!

Dropping the requirement that the first two primes be consecutive primes, the first 10-tuple of an arithmetic progression of primes comes pretty early:

{199,409,619,829,1039,1249,1459,1669,1879,2089}

... okay, I will try to leave this alone. Thanks Brian.


  Posted by owl on 2004-10-24 17:16:23
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