A153377 - OEIS

%I #14 Oct 04 2021 08:39:31

%S 7,11,43,47,103,107,127,229,337,383,571,653,739,757,877,977,1097,1129,

%T 1171,1223,1399,1511,2069,2137,2203,2333,2371,2411,2711,2713,3719,

%U 4793,4831,5023,5059,5179,5483,5503,6007,6029,6829,6959,6971,7109,7219,7481

%N Larger of two consecutive prime numbers such that p1*p2*d + d = average of twin prime pairs, d (delta) = p2 - p1.

%C See A153376 for the corresponding lesser prime.

%H Amiram Eldar, <a href="/A153377/b153377.txt">Table of n, a(n) for n = 1..10000</a>

%e 5*7*2 + 2 = 72 and 72 +- 1 are primes, so 7 is a term.

%e 7*11*4 + 4 = 312 and 312 +- 1 are primes, so 11 is a term.

%t lst={};Do[p1=Prime[n];p2=Prime[n+1];d=p2-p1;a=p1*p2*d+d;If[PrimeQ[a-1]&&PrimeQ[a+1],AppendTo[lst,p2]],{n,7!}];lst

%Y Cf. A099349, A153374, A153375, A153376.

%K nonn

%O 1,1

%A _Vladimir Joseph Stephan Orlovsky_, Dec 24 2008