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

1,1

Links

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

Formula

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

Example

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

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 *)

Crossrefs

Cf. A052197.

Sequence in context: A249915 A161534 A052197 * A083604 A236600 A105656

Adjacent sequences: A053073 A053074 A053075 * A053077 A053078 A053079

Keyword

easy,nonn

Author

Harvey P. Dale, Feb 25 2000

Status

approved