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Search: id:A153375
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| A153375 |
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Larger of two consecutive prime numbers such that p0+p1=average of twin prime pairs and p0*p1+7=average of twin prime pairs. |
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+0
16
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| 7, 17, 1049, 2767, 3347, 22391, 45989, 88237, 92333, 135241, 154157, 233327, 287159, 344231, 365297, 392737, 479639, 549749, 574367, 650591, 659437, 666089, 749807, 786959, 869069, 959737, 1023541, 1045043, 1161851, 1180427, 1193041
(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=12+-1=primes, 5*7+7=42+-1=primes; 13+17=30+-1=primes, 13*17+7=228+-1=primes;...
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MATHEMATICA
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lst={}; Do[p0=Prime[n]; p1=Prime[n+1]; a=p0+p1; b=p0*p1+7; If[PrimeQ[a-1]&&PrimeQ[a+1]&&PrimeQ[b-1]&&PrimeQ[b+1], AppendTo[lst, p1]], {n, 9!}]; lst
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CROSSREFS
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Cf. A099349, A153374
Sequence in context: A159028 A102266 A113765 this_sequence A001145 A093139 A138491
Adjacent sequences: A153372 A153373 A153374 this_sequence A153376 A153377 A153378
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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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