A053074 Primes p such that p-24, p and p+24 are consecutive primes.

16787, 40063, 42533, 96377, 98597, 104207, 119267, 123887, 160117, 161807, 169283, 181813, 185267, 208553, 209743, 232777, 235723, 243367, 246073, 260363, 261823, 270097, 295387, 295727, 302483, 315223, 331423, 362027, 364103, 373693

Offset: 1

Author

Harvey P. Dale, Feb 25 2000

Keywords

• easy
• nonn

Comments

In other words, balanced primes separated from the next lower and next higher prime neighbors by 24.

Examples

			40063 is separated from both the next lower prime and the next higher prime by 24;
104207 - 24 = 104183 is prime, 104207 + 24 = 104231 is prime, and 104207 is the only prime between 104183 and 104231.
		

Links

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

Crossrefs

Cf. A052190.

Programs

Maple

for i from 1 by 1 to 40000 do if ithprime(i+1) = ithprime(i) +24 and ithprime(i+2) = ithprime(i) + 48 then print(ithprime(i+1)); fi; od; # Zerinvary Lajos, May 04 2007

Mathematica

lst={};Do[p=Prime[n];If[p-Prime[n-1]==Prime[n+1]-p==6*4,AppendTo[lst,p]],{n,2,8!}];lst (* Vladimir Joseph Stephan Orlovsky, May 20 2010 *)
Transpose[Select[Partition[Prime[Range[40000]],3,1],Differences[#]=={24,24}&]][[2]] (* Harvey P. Dale, May 20 2014 *)

Formula

a(n) = A052190(n) + 24. - Sean A. Irvine, Dec 06 2021

Extensions

Edited by N. J. A. Sloane, Jul 03 2008 at the suggestion of R. J. Mathar

Edited by Jon E. Schoenfield, Jan 09 2015