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 Prime Time Revisited (Posted on 2004-10-22)
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

 Submitted by SilverKnight Rating: 3.0000 (8 votes) Solution: (Hide) Yes: 11, 47, and 71 (11 + 47) / 2 = 29 (11 + 71) / 2 = 41 (47 + 71) / 2 = 59 (11 + 47 + 71) / 3 = 43

 Subject Author Date Methodology and result K Sengupta 2005-11-08 00:29:08 Submission Query K Sengupta 2005-11-08 00:17:58 Solution to "Prime Time Revisited" K Sengupta 2005-08-29 08:03:55 re(4): Arithmetic progression Tristan 2004-10-25 03:41:52 re(3): Arithmetic progression owl 2004-10-24 17:16:23 re(2): Arithmetic progression owl 2004-10-24 16:17:06 re: Arithmetic progression owl 2004-10-24 16:10:34 Arithmetic progression Brian Smith 2004-10-22 22:23:00 Brute Force Solution np_rt 2004-10-22 16:53:07 UBASIC program Charlie 2004-10-22 15:40:33 re: Answer + Solution (semi brute force) RandyOrton 2004-10-22 15:23:33 re(2): Spoiler. Juggler 2004-10-22 14:42:07 re: Spoiler. nikki 2004-10-22 14:30:59 Answer + Solution (semi brute force) nikki 2004-10-22 14:29:34 Sieve of Eratosthenes (solution) Penny 2004-10-22 14:27:23 First part : Not so uncommon Syzygy 2004-10-22 13:42:00 Spoiler. Juggler 2004-10-22 13:24:22

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