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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). 6
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 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Solutions of the equation (n-4)' + n' + (n+2)' = 3, where n' is the arithmetic derivative of n. [Paolo P. Lava, Nov 09 2012].

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

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Last modified April 19 16:18 EDT 2019. Contains 322282 sequences. (Running on oeis4.)