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Search: id:A153413
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| A153413 |
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Smaller of twin prime pairs such that p1*p2+average_of_twin_prime_pair=prime. |
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+0
2
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| 3, 5, 29, 59, 137, 179, 239, 419, 617, 1049, 1607, 1697, 1787, 2267, 2309, 2729, 3257, 3389, 3527, 3767, 4157, 4217, 4337, 4799, 5639, 5867, 6659, 6689, 6869, 6959, 7487, 7547, 7589, 8537, 8627, 8969, 9629, 9857, 9929, 10457, 11117, 11969, 12539, 13337
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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3*5+4=19 prime, 5*7+6=41 prime, 29*31+30=929 prime, ...
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MATHEMATICA
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lst={}; Do[p1=Prime[n]; p2=Prime[n+1]; If[p2-p1==2, a=p1*p2+(p1+1); If[PrimeQ[a], AppendTo[lst, p1]]], {n, 7!}]; lst
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CROSSREFS
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Cf. A099349, A153374, A153375, A153376, A153377, A153378, A153379, A153406, A153407, A153408, A153409, A153410
Sequence in context: A067200 A106089 A136085 this_sequence A132281 A048637 A128551
Adjacent sequences: A153410 A153411 A153412 this_sequence A153414 A153415 A153416
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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), Dec 25 2008
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