A102332 Initial prime p introducing a prime sextuplet of consecutive primes as follows:{p,p+10,p+18,p+28,p+36,p+46} with the corresponding prime-difference-pattern:{10,8,10,8,10}.

37861, 39181, 324763, 692743, 810391, 945331, 1047961, 1429573, 1513573, 1540813, 1799071, 3463573, 3861223, 3979201, 4536121, 4641001, 5154343, 5445403, 5874853, 7851583, 8820793, 8961373, 8976403, 9302113, 9673351

Offset

1,1

Comments

A generalization of primes displayed in A022008.

Links

Harvey P. Dale, Table of n, a(n) for n = 1..200

Mathematica

tm=TimeUsed[]; ta={{0}}; Do[g=n; d1=10; d2=8; d3=10; d4=8; d5=10; s1=Prime[n+1]-Prime[n]; s2=Prime[n+2]-Prime[n+1]; s3=Prime[n+3]-Prime[n+2]; s4=Prime[n+4]-Prime[n+3]; s5=Prime[n+5]-Prime[n+4]; If[Equal[s1, d1]&&Equal[s2, d2]&& Equal[s3, d3]&&Equal[s4, d4]&&Equal[s5, d5], Print[{Prime[n], s1, s2, s3, s4, s5}]; ta=Append[ta, Prime[n]]], {n, 1, 10000000}] {ta=Delete[ta, 1], {d1, d2}} {g, TimeUsed[]-tm}
Transpose[Select[Partition[Prime[Range[650000]], 6, 1], Differences[#]=={10, 8, 10, 8, 10}&]][[1]] (* Harvey P. Dale, Oct 18 2013 *)

Crossrefs

Cf. A001223, A022008, A052162-A052168, A047078, A067140, A067141.

Sequence in context: A190320 A250150 A345818 * A172425 A224906 A364309

Adjacent sequences: A102329 A102330 A102331 * A102333 A102334 A102335

Keyword

nonn

Author

Labos Elemer, Jan 06 2005

Extensions

Definition corrected by Harvey P. Dale, Oct 18 2013

Status

approved