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Search: id:A164566
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| A164566 |
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Primes p such that 7*p-6 and 7*p+6 are also prime numbers. |
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4
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| 5, 11, 19, 31, 41, 61, 71, 109, 151, 211, 229, 269, 379, 419, 431, 439, 479, 619, 641, 709, 739, 809, 839, 971, 1009, 1069, 1229, 1259, 1319, 1361, 1439, 1451, 1499, 1531, 1579, 1669, 1801, 1879, 1889, 2011, 2111, 2239, 2269, 2381, 2411, 2551, 2579, 2591
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Primes of the form A087681(k)/7, any index k.
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FORMULA
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A136052 INTERSECT A023225. [R. J. Mathar, Aug 20 2009]
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EXAMPLE
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For p=5, 7*5-6=29 and 7*5+6=41 are prime, so 5 enters the sequence.
For p=11, 7*11-6=71 and 7*11+6=83 are prime, so 11 enters the sequence.
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MATHEMATICA
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lst={}; Do[p=Prime[n]; If[PrimeQ[7*p-6]&&PrimeQ[7*p+6], AppendTo[lst, p]], {n, 6!}]; lst
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CROSSREFS
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Cf. A106015, A125272, A127430, A046133.
Sequence in context: A100920 A003147 A106068 this_sequence A075322 A079850 A065995
Adjacent sequences: A164563 A164564 A164565 this_sequence A164567 A164568 A164569
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KEYWORD
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nonn
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AUTHOR
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Vladimir Orlovsky (4vladimir(AT)gmail.com), Aug 16 2009
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EXTENSIONS
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Examples rephrased by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Aug 20 2009
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