A078562 p, p+6 and p+10 are consecutive primes.

31, 61, 73, 157, 271, 373, 433, 607, 733, 751, 1291, 1543, 1657, 1777, 1861, 1987, 2131, 2287, 2341, 2371, 2383, 2467, 2677, 2791, 2851, 3181, 3313, 3607, 3691, 4441, 4507, 4723, 4993, 5407, 5431, 5521, 5563, 5641, 5683, 5851, 6037, 6211, 6571, 6961

Offset

1,1

Comments

Subsequence of A031924. - R. J. Mathar, Jun 15 2013

Links

R. J. Mathar, Table of n, a(n) for n = 1..1000

Example

Between p and p+10 the difference-pattern is [64] like e.g. for p=31: 31(6)37(4)41.

Mathematica

Transpose[Select[Partition[Prime[Range[1000]], 3, 1], #[[3]]-#[[1]]==10&&#[[2]]-#[[1]]==6&]][[1]] (* Harvey P. Dale, Dec 09 2010 *)

Crossrefs

Cf. analogous inter-prime d-patterns with d<=6: A022004[24], A022005[42], A049437[26], A049438[62], A078561[46], A078562[64], A047948[66].

Sequence in context: A052158 A095672 A073650 * A054804 A128470 A195744

Adjacent sequences: A078559 A078560 A078561 * A078563 A078564 A078565

Keyword

nonn

Author

Labos Elemer, Dec 10 2002

Status

approved