A053078 Balanced primes separated from the next lower and next higher prime neighbors by 48.

3565979, 3653911, 3985951, 5425661, 5647409, 6127019, 6292129, 6532601, 7134031, 7360411, 7389541, 7700179, 7865881, 7956211, 8467951, 8708339, 8972749, 9203791, 9603409, 9863599, 10279861, 10971791, 11998439, 12225299

Offset: 1

Author

Harvey P. Dale, Feb 25 2000

Keywords

• easy
• nonn

Examples

			3653911 is separated from both the next lower prime and the next higher prime by 48.
		

Links

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

Crossrefs

Cf. A329578.

Programs

Mathematica

lst={};Do[p=Prime[n];If[p-Prime[n-1]==Prime[n+1]-p==6*8,AppendTo[lst,p]],{n,2,3*9!}];lst (* Vladimir Joseph Stephan Orlovsky, May 20 2010 *)
Transpose[Select[Partition[Prime[Range[810000]],3,1],Union[ Differences[ #]] == {48}&]][[2]] (* Harvey P. Dale, May 01 2013 *)

Formula

a(n) = A329578(n) + 48. - Sean A. Irvine, Dec 06 2021