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Search: id:A136720
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| A136720 |
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Prime quadruples: 2nd term. |
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+0
2
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| 7, 13, 103, 193, 823, 1483, 1873, 2083, 3253, 3463, 5653, 9433, 13003, 15643, 15733, 16063, 18043, 18913, 19423, 21013, 22273, 25303, 31723, 34843, 43783, 51343, 55333, 62983, 67213, 69493, 72223, 77263, 79693, 81043, 82723, 88813, 97843
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Primes p such that p-2, p+4, and p+6 are prime. Apart from the first term, a(n) = 13 (mod 30).
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EXAMPLE
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The four terms in the first quadruple are 5,7,11,13 and in the 2nd 11,13,17,19. The four terms or members of each set must be simultaneously prime.
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MATHEMATICA
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lst={}; Do[p0=Prime[n]; If[PrimeQ[p2=p0+2], If[PrimeQ[p6=p0+6], If[PrimeQ[p8=p0+8], AppendTo[lst, p2]]]], {n, 12^4}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Aug 22 2008]
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CROSSREFS
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Cf. A007530 A090258 A136721.
Sequence in context: A110293 A039687 A001544 this_sequence A035030 A046519 A128351
Adjacent sequences: A136717 A136718 A136719 this_sequence A136721 A136722 A136723
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KEYWORD
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easy,nonn
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AUTHOR
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Enoch Haga (Enokh(AT)comcast.net), Jan 18 2008
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EXTENSIONS
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Edited by Charles R Greathouse IV (charles.greathouse(AT)case.edu), Oct 11 2009
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