Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).
%I #17 Dec 06 2021 03:17:35
%S 255803,704357,806857,884537,913103,1065173,1216213,1448533,1526227,
%T 1532507,1641007,1918607,2071123,2275103,2276467,2336707,2347627,
%U 2376757,2778583,3098597,3190637,3248977,3259037,3452143,3558517
%N Balanced primes separated from the next lower and next higher prime neighbors by 36.
%H Zak Seidov, <a href="/A053076/b053076.txt">Table of n, a (n) for n = 1..1000</a>
%F a(n) = A052197(n) + 36. - _Sean A. Irvine_, Dec 06 2021
%e 255803 is separated from both the next lower prime and the next higher prime by 36.
%t lst={};Do[p=Prime[n];If[p-Prime[n-1]==Prime[n+1]-p==6*6,AppendTo[lst,p]],{n,2,5*8!}];lst (* _Vladimir Joseph Stephan Orlovsky_, May 20 2010 *)
%t Transpose[Select[Partition[Prime[Range[260000]],3,1],Union[ Differences[#]] == {36}&]][[2]] (* _Harvey P. Dale_, Sep 28 2012 *)
%Y Cf. A052197.
%K easy,nonn
%O 1,1
%A _Harvey P. Dale_, Feb 25 2000