

A115760


Slowest growing sequence of numbers having the primepairwiseaverage property: if i<j, (a(i)+a(j))/2 is prime.


8



3, 7, 19, 55, 139, 859, 2119, 112999, 333679, 10040119, 15363619, 548687179, 16632374359, 5733638351299
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OFFSET

1,1


COMMENTS

Subsequent terms are == 19 mod 30.
Inspired by A113875 (case of prime numbers). See A113832 minimal sets of primes having the PPA property, A115782 primes in A115760.
Equals 2*A103828(n) + 1.  N. J. A. Sloane, Apr 28 2007. This sequence is surely infinite  see comments in A103828.


LINKS

Table of n, a(n) for n=1..14.


EXAMPLE

The pairwise averages of {3,7,19} are the primes {5,11,13}.


CROSSREFS

Cf. A113832, A113875, A115782.
Sequence in context: A183122 A104522 A175533 * A183115 A183120 A100702
Adjacent sequences: A115757 A115758 A115759 * A115761 A115762 A115763


KEYWORD

more,nonn


AUTHOR

Zak Seidov, Jan 30 2006


EXTENSIONS

More terms from Don Reble and Giovanni Resta, Feb 15 2006


STATUS

approved



