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A049488
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Primes p such that p+16 is prime.
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19
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3, 7, 13, 31, 37, 43, 67, 73, 97, 151, 157, 163, 181, 211, 223, 241, 277, 331, 337, 367, 373, 433, 463, 487, 541, 547, 571, 577, 601, 631, 643, 661, 727, 757, 811, 823, 937, 967, 997, 1033, 1087, 1093, 1171, 1201, 1213, 1291, 1303, 1423, 1471, 1483, 1543
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OFFSET
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1,1
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COMMENTS
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Using the Elliott-Halberstam conjecture, Goldston et al. prove that there are an infinite number of primes here. - T. D. Noe, Nov 26 2013
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REFERENCES
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P. D. T. A. Elliott and H. Halberstam, A conjecture in prime number theory, Symposia Mathematica, Vol. IV (INDAM, Rome, 1968/69), pages 59-72, Academic Press, London, 1970.
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LINKS
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D. A. Goldston, J. Pintz, and C. Y. Yildirim, Primes in Tuples I, arXiv:math/0508185 [math.NT], Aug 10 2005.
A. Granville and G. Martin, Prime number races, arXiv:math/0408319 [math.NT], Aug 24 2004.
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EXAMPLE
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7 and 7+16=23 are prime.
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MATHEMATICA
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Select[Prime[Range[250]], PrimeQ[#+16 ]&] (* Harvey P. Dale, Oct 30 2015 *)
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PROG
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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