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 A053074 Primes p such that p-24, p and p+24 are consecutive primes. 3
 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 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS In other words, balanced primes separated from the next lower and next higher prime neighbors by 24. LINKS Zak Seidov, Table of n, a(n) for n = 1..1000 FORMULA a(n) = A052190(n) + 24. - Sean A. Irvine, Dec 06 2021 EXAMPLE 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. 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 *) CROSSREFS Cf. A052190. Sequence in context: A068784 A183844 A034820 * A115923 A243836 A244107 Adjacent sequences: A053071 A053072 A053073 * A053075 A053076 A053077 KEYWORD easy,nonn AUTHOR Harvey P. Dale, Feb 25 2000 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 STATUS approved

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Last modified February 8 23:03 EST 2023. Contains 360153 sequences. (Running on oeis4.)