A167607 Sum of cousin prime pairs.

10, 18, 30, 42, 78, 90, 138, 162, 198, 210, 222, 258, 330, 390, 450, 462, 558, 618, 630, 702, 762, 798, 882, 918, 930, 978, 1002, 1230, 1290, 1350, 1482, 1518, 1542, 1650, 1710, 1722, 1758, 1770, 1818, 1878, 1938, 2022, 2178, 2190, 2430, 2562, 2598, 2610, 2850, 2862, 2898, 2970, 2982, 3102

Offset

1,1

Comments

All terms are divisible by two. Except for the first term, all terms are divisible by three.

Links

Vincenzo Librandi, Table of n, a(n) for n = 1..1000

Eric Weisstein's World of Mathematics, Cousin Primes

Wikipedia, Cousin Prime

Example

The sum of the cousin primes 223 and 227 is 450.

Mathematica

2Select[Prime[Range[200]], PrimeQ[# + 4] &] + 4 (* Alonso del Arte, Feb 01 2013 *)
Join[{10}, Total/@Select[Partition[Prime[Range[300]], 2, 1], #[[2]]-#[[1]] == 4&]] (* Harvey P. Dale, Apr 12 2020 *)

Crossrefs

Cf. A023200

Sequence in context: A230356 A100992 A256382 * A162828 A190038 A233695

Adjacent sequences: A167604 A167605 A167606 * A167608 A167609 A167610

Keyword

nonn

Author

Parthasarathy Nambi, Nov 07 2009

Status

approved