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A053070
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Primes n such that n-6, n and n+6 are consecutive primes.
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3
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53, 157, 173, 257, 263, 373, 563, 593, 607, 653, 733, 947, 977, 1103, 1123, 1187, 1223, 1367, 1747, 1753, 1907, 2287, 2417, 2677, 2903, 2963, 3307, 3313, 3637, 3733, 4013, 4457, 4597, 4657, 4993, 5107, 5113, 5303, 5387, 5393, 5563, 5807, 6073, 6263
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| Balanced primes separated from the next lower and next higher prime neighbors by 6.
Subset of A006489. - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Apr 11 2008
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FORMULA
| a(n)=A047948(n)+6. - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Apr 11 2008
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EXAMPLE
| 157 is separated from both the next lower prime, 151 and the next higher prime, 163, by 6
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MAPLE
| for i from 1 by 1 to 800 do if ithprime(i+1) = ithprime(i) + 6 and ithprime(i+2) = ithprime(i) + 12 then print(ithprime(i+1)); fi; od; # - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Apr 27 2007
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MATHEMATICA
| lst={}; Do[p=Prime[n]; If[p-Prime[n-1]==Prime[n+1]-p==6, AppendTo[lst, p]], {n, 2, 7!}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), May 20 2010]
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CROSSREFS
| Sequence in context: A044385 A044766 A160058 * A140655 A142508 A142639
Adjacent sequences: A053067 A053068 A053069 * A053071 A053072 A053073
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KEYWORD
| easy,nonn
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AUTHOR
| Harvey P. Dale (hpd1(AT)is2.nyu.edu), Feb 25 2000
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EXTENSIONS
| Edited by N. J. A. Sloane (njas(AT)research.att.com) at the suggestion of Zak Seidov, Apr 09 2008
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