A226692 The first member of a twin prime pair whose sum equals the sums of k consecutive smaller pairs of twin primes, k=3.

59, 281, 347, 521, 569, 617, 1787, 2111, 4049, 4421, 5879, 6197, 8231, 9677, 10457, 11699, 12071, 12161, 12377, 14009, 16139, 17597, 17837, 21647, 22697, 33347, 36341, 39227, 41609, 43781, 44087, 46271, 48779, 51197, 53087, 56909, 58229, 58439, 64187

Offset

1,1

Links

Zak Seidov, Table of n, a(n) for n = 1..1000

Example

59 + 61 = (11 + 13) + (17 + 19) + (29 + 31) =  120,
281 + 283 = (71 + 73) + (101 + 103) + (107 + 109) = 564.

Mathematica

s = Select[2*Range[40000], PrimeQ[# - 1] && PrimeQ[# + 1] &]; Intersection[s, Total /@ Partition[s, 3, 1]] - 1 (* T. D. Noe, Jun 17 2013 *)

Crossrefs

Cf. A225943 (k=2).

Sequence in context: A142481 A140852 A142536 * A142131 A296971 A142032

Adjacent sequences: A226689 A226690 A226691 * A226693 A226694 A226695

Keyword

nonn

Author

Zak Seidov, Jun 15 2013

Status

approved