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A079015
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Primes introducing consecutive prime 6-tuple of primes or 5-tuple corresponding consecutive p-difference pattern as follows: {d,2d,4d,8d,16d}.
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2
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6824897, 10132607, 12674657, 13699457, 14148047, 27353237, 43918997, 44152307, 50608007, 53944337, 60426257, 60825827, 61325057, 68721047, 68933717, 72069707, 78577817, 82108127, 82334297, 87020177, 88226777, 97013927
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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EXAMPLE
| p[45277466]=884909087 is followed by {2,4,8,16,32,10,50..} difference pattern, p[9312431]=166392559 initiate {4,8,16,32,64,14,30...} difference pattern of consecutive primes. First 5 d increase exponentially.
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MATHEMATICA
| d[x_] := Prime[x+1]-Prime[x] k=0; Do[s=d[n]; If[Equal[d[n+1], 2*s]&&Equal[d[n+2], 4*s]&&Equal[d[n+3], 8*s] &&Equal[d[n+4], 16*s], k=k+1; Print[{n, Prime[n], s, 2*s, d[n+2], d[n+3], d[n+4]}]], {n, 1, 100000000}]
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CROSSREFS
| Cf. A079011-A079014.
Sequence in context: A022237 A116173 A088238 * A185435 A185427 A185426
Adjacent sequences: A079012 A079013 A079014 * A079016 A079017 A079018
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KEYWORD
| nonn
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AUTHOR
| Labos E. (labos(AT)ana.sote.hu), Jan 22 2003
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