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A153404
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Middle of 3 consecutive prime numbers such that p1*p2*p3+d1+d2-1=average of twin prime pairs, d1(delta)=p2-p1,d2(delta)=p3-p2.
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4
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5, 571, 1753, 5113, 6949, 9283, 11047, 14401, 24859, 25171, 26203, 31159, 34471, 41719, 42397, 45289, 61099, 62533, 80611, 82141, 90001, 91969, 92347, 93811, 98377, 98887, 103591, 105907, 111373, 117133, 120997, 122827, 128413, 135607
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| 3*5*7+2+2-1=108+-1=prime,
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MATHEMATICA
| lst={}; Do[p1=Prime[n]; p2=Prime[n+1]; p3=Prime[n+2]; d1=p2-p1; d2=p3-p2; a=p1*p2*p3+d1+d2-1; If[PrimeQ[a-1]&&PrimeQ[a+1], AppendTo[lst, p2]], {n, 8!}]; lst
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CROSSREFS
| Cf. A099349, A153374, A153375, A153376, A153377, A153378, A153379, A153402
Sequence in context: A067446 A112900 A037063 * A185555 A093941 A072952
Adjacent sequences: A153401 A153402 A153403 * A153405 A153406 A153407
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KEYWORD
| nonn
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AUTHOR
| Vladimir Orlovsky (4vladimir(AT)gmail.com), Dec 25 2008
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