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Interprimes which are of the form s*prime, s=14.
1

%I #8 Feb 24 2015 18:23:49

%S 42,154,266,574,994,1106,2674,3206,3514,4382,5306,5446,6538,6706,8666,

%T 8834,9814,9926,10654,11494,13174,13594,14266,14434,14546,15274,15806,

%U 17486,17906,18214,18242,21994,22358,22694,24094,25858,27314,28406

%N Interprimes which are of the form s*prime, s=14.

%C Interprimes of the form s*prime are in A075277-A075296 ( s = 2 - 21 ). Case s=1 is impossible.

%H Harvey P. Dale, <a href="/A075289/b075289.txt">Table of n, a(n) for n = 1..1000</a>

%e 266 is an interprime and 266/14 = 19 is prime.

%t s=14; Select[Table[(Prime[n+1]+Prime[n])/2, {n, 2, 4000}], PrimeQ[ #/s]&]

%t Select[Mean/@Partition[Prime[Range[2,3100]],2,1],PrimeQ[#/14]&] (* _Harvey P. Dale_, Feb 24 2015 *)

%Y Cf. A075277-A075296.

%K easy,nonn

%O 1,1

%A _Zak Seidov_, Sep 12 2002