A053076 Balanced primes separated from the next lower and next higher prime neighbors by 36.

255803, 704357, 806857, 884537, 913103, 1065173, 1216213, 1448533, 1526227, 1532507, 1641007, 1918607, 2071123, 2275103, 2276467, 2336707, 2347627, 2376757, 2778583, 3098597, 3190637, 3248977, 3259037, 3452143, 3558517

Offset: 1

Author

Harvey P. Dale, Feb 25 2000

Keywords

• easy
• nonn

Examples

			255803 is separated from both the next lower prime and the next higher prime by 36.
		

Links

• Zak Seidov, Table of n, a (n) for n = 1..1000

Crossrefs

Cf. A052197.

Programs

Mathematica

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 *)
Transpose[Select[Partition[Prime[Range[260000]],3,1],Union[ Differences[#]] == {36}&]][[2]] (* Harvey P. Dale, Sep 28 2012 *)

Formula

a(n) = A052197(n) + 36. - Sean A. Irvine, Dec 06 2021