A073649 Define the composite field of a prime q to be f(q) = (t,s) if p, q, r are three consecutive primes and q-p = t and r-q = s. This is a sequence of primes q with field (4,2).

11, 17, 41, 71, 101, 107, 197, 227, 281, 311, 461, 617, 827, 857, 881, 1091, 1301, 1427, 1451, 1487, 1667, 1697, 1787, 1871, 1877, 1997, 2087, 2141, 2381, 2687, 2711, 2801, 3167, 3257, 3461, 3467, 3851, 4157, 4517, 4787, 5231, 5417, 5441, 5651, 5657

Offset

1,1

Links

Alois P. Heinz, Table of n, a(n) for n = 1..1000

Mathematica

Transpose[Select[Partition[Prime[Range[1200]], 3, 1], Differences[#] == {4, 2}&]] [[2]] (* Harvey P. Dale, Jul 23 2011 *)

Crossrefs

Cf. A073648, A073650.

Cf. A098413, A098414.

Equals A022005 + 4.

Sequence in context: A201476 A057473 A267291 * A178070 A243222 A090609

Adjacent sequences: A073646 A073647 A073648 * A073650 A073651 A073652

Keyword

nonn

Author

Amarnath Murthy, Aug 09 2002

Extensions

Corrected and extended by Benoit Cloitre, Aug 13 2002

Status

approved