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Search: id:A156781
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| A156781 |
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Primes : if sums of prime number and 2 consecutive prime numbers on-left-and-on-right are also primes. |
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+0
6
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| 11, 17, 23, 29, 31, 41, 61, 71, 79, 157, 211, 281, 293, 311, 349, 389, 401, 463, 509, 661, 719, 757, 797, 809, 857, 863, 997, 1187, 1201, 1289, 1291, 1301, 1307, 1319, 1399, 1427, 1451, 1663, 1669, 1723, 2029, 2111, 2113, 2129, 2137, 2243, 2311, 2339, 2341
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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5+7+11=23(prime);11+13+17=41(prime),... prime(n)+prime(n-1)+prime(n-2) are primes and prime(n)+prime(n+1)+prime(n+2) are also primes.
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MATHEMATICA
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lst={}; Do[p0=Prime[n+0]; p1=Prime[n+1]; p2=Prime[n+2]; p3=Prime[n+3]; p4=Prime[n+4]; If[PrimeQ[p0+p1+p2]&&PrimeQ[p2+p3+p4], AppendTo[lst, p2]], {n, 6!}]; lst
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CROSSREFS
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Sequence in context: A066074 A106563 A106574 this_sequence A160129 A145481 A006621
Adjacent sequences: A156778 A156779 A156780 this_sequence A156782 A156783 A156784
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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), Feb 15 2009
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