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A153375 Larger of two consecutive prime numbers such that p0+p1=average of twin prime pairs and p0*p1+7=average of twin prime pairs. 16
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; refs; listen; history; internal format)
OFFSET

1,1

COMMENTS

5+7=12+-1=primes, 5*7+7=42+-1=primes; 13+17=30+-1=primes, 13*17+7=228+-1=primes;...

MATHEMATICA

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

CROSSREFS

Cf. A099349, A153374

Sequence in context: A102266 A113765 A013540 * A001145 A093139 A177366

Adjacent sequences:  A153372 A153373 A153374 * A153376 A153377 A153378

KEYWORD

nonn

AUTHOR

Vladimir Orlovsky (4vladimir(AT)gmail.com), Dec 24 2008

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Last modified February 16 11:51 EST 2012. Contains 205908 sequences.