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Largest element of a set of n primes with the property that the pairwise averages are all distinct primes, having the smallest largest element (A115631).
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%I #3 Mar 30 2012 17:28:50

%S 7,19,71,173,383,881,2111,5417,10691,21757,27611

%N Largest element of a set of n primes with the property that the pairwise averages are all distinct primes, having the smallest largest element (A115631).

%C The solution for n=5 is {5, 29, 53, 89, 173}, so a(5)=173. This sequence is not proved to be optimal, so smaller terms may exist.

%H Andrew Granville, <a href="http://www.dms.umontreal.ca/~andrew/PDF/PrimePatterns.pdf">Prime number patterns</a>

%Y Cf. A115631, A113832.

%K nonn

%O 2,1

%A _Dmitry Kamenetsky_, Jan 22 2009