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A079015 Primes introducing consecutive prime 6-tuple of primes or 5-tuple corresponding consecutive p-difference pattern as follows: {d,2d,4d,8d,16d}. 2
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; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..22.

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.

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}]

CROSSREFS

Cf. A079011-A079014.

Sequence in context: A273753 A116173 A088238 * A185435 A185427 A185426

Adjacent sequences:  A079012 A079013 A079014 * A079016 A079017 A079018

KEYWORD

nonn

AUTHOR

Labos Elemer, Jan 22 2003

STATUS

approved

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Last modified May 26 00:32 EDT 2020. Contains 334613 sequences. (Running on oeis4.)