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Search: id:A156782
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| A156782 |
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Primes : if sums of prime number and 4 consecutive prime numbers on-left-and-on-right are also primes. |
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+0
5
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| 19, 29, 43, 73, 137, 149, 157, 179, 211, 379, 383, 401, 409, 433, 467, 557, 569, 577, 599, 677, 839, 863, 883, 919, 997, 1103, 1303, 1499, 1553, 1637, 1669, 1709, 1783, 1811, 1861, 1873, 1951, 2113, 2207, 2309, 2393, 2503, 2647, 2663, 2713, 2791, 3011
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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7+11+13+17+19=67(prime);19+23+29+31+37=139(prime),... prime(n)+prime(n-1)+prime(n-2)+prime(n-3)+prime(n-4) are primes and prime(n)+prime(n+1)+prime(n+2)+prime(n+3)+prime(n+4) 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]; p5=Prime[n+5]; p6=Prime[n+6]; p7=Prime[n+7]; p8=Prime[n+8]; If[PrimeQ[p0+p1+p2+p3+p4]&&PrimeQ[p4+p5+p6+p7+p8], AppendTo[lst, p4]], {n, 7!}]; lst
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CROSSREFS
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Cf. A156781
Sequence in context: A100590 A046120 A063644 this_sequence A092600 A050266 A106124
Adjacent sequences: A156779 A156780 A156781 this_sequence A156783 A156784 A156785
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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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