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A053076
Balanced primes separated from the next lower and next higher prime neighbors by 36.
3
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
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
KEYWORD
easy,nonn
AUTHOR
Harvey P. Dale, Feb 25 2000
STATUS
approved