A079014 -id:A079014 - cp's OEIS frontend

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

6824897, 10132607, 12674657, 13699457, 14148047, 27353237, 43918997, 44152307, 50608007, 53944337, 60426257, 60825827, 61325057, 68721047, 68933717, 72069707, 78577817, 82108127, 82334297, 87020177, 88226777, 97013927, 102043757, 106053917, 114412937, 122271557

Offset: 1

Labos Elemer, Jan 22 2003

nonn

			prime(45277466) = 884909087 is followed by {2, 4, 8, 16, 32, 10, 50, ...} difference pattern.
prime(9312431) = 166392559 initiates {4, 8, 16, 32, 64, 14, 30, ...} difference pattern of consecutive primes.

Cf. A079011, A079012, A079013, A079014.

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]}]], {n, 1, 100000000}]
(* or *)
prmsUpTo[k_] :=
 First /@ Select[Partition[Prime@ Range[PrimePi[k]], 6, 1],
   Differences @# == {2, 4, 8, 16, 32} &]; prmsUpTo[10^9] (* Mikk Heidemaa, Apr 26 2024 *)

More terms from Jinyuan Wang, Feb 10 2021

A090807 First prime in the earliest chain of n consecutive primes with gaps 2^1, 2^2, ..., 2^(n-1).

Original entry on oeis.org

3, 5, 1997, 2237, 6824897, 1356705137, 3637803390827

Offset: 2

Joseph L. Pe, Feb 12 2004

			The earliest chain of 4 consecutive primes separated by gaps 2^1, 2^2, 2^3 is: 1997, 1999, 2003, 2011. Hence a(4) = 1997.

Index entries for primes, gaps between.

Cf. A000230.

Essentially the same as A079014.

a(7)-a(8) from Donovan Johnson, Mar 23 2013

cp's OEIS Frontend

A079015 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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A090807 First prime in the earliest chain of n consecutive primes with gaps 2^1, 2^2, ..., 2^(n-1).

Views

Author

Keywords

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Crossrefs

Extensions

cp's OEIS Frontend

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

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Author

Keywords

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Crossrefs

Programs

Mathematica

Extensions

A090807 First prime in the earliest chain of n consecutive primes with gaps 2^1, 2^2, ..., 2^(n-1).

Views

Author

Keywords

Examples

Links

Crossrefs

Extensions

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