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

1,1

Links

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

Formula

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

Example

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

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 *)

Crossrefs

Cf. A329578.

Sequence in context: A107349 A198167 A329578 * A209911 A235077 A353221

Adjacent sequences: A053075 A053076 A053077 * A053079 A053080 A053081

Keyword

easy,nonn

Author

Harvey P. Dale, Feb 25 2000

Status

approved