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Search: id:A153376
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| A153376 |
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Smaller of two consecutive prime numbers such that p1*p2*d+d=average of twin prime pairs, d (delta)=p2-p1. |
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+0
15
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| 5, 7, 41, 43, 101, 103, 113, 227, 331, 379, 569, 647, 733, 751, 863, 971, 1093, 1123, 1163, 1217, 1381, 1499, 2063, 2131, 2179, 2311, 2357, 2399, 2707, 2711, 3709, 4789, 4817, 5021, 5051, 5171, 5479, 5501, 5987, 6011, 6827, 6949, 6967, 7103, 7213, 7477
(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*2+2=72+-1=primes, 7*11*4+4=312+-1=primes,...
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MATHEMATICA
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lst={}; Do[p1=Prime[n]; p2=Prime[n+1]; d=p2-p1; a=p1*p2*d+d; If[PrimeQ[a-1]&&PrimeQ[a+1], AppendTo[lst, p1]], {n, 7!}]; lst
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CROSSREFS
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Cf. A099349, A153374, A153375
Sequence in context: A006067 A147760 A154148 this_sequence A167205 A123781 A120298
Adjacent sequences: A153373 A153374 A153375 this_sequence A153377 A153378 A153379
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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 24 2008
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