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