A109226 If g(x) is the x-th prime gap, then g(a(n)) are prime gaps which are greater than the sum of the preceding two prime gaps.

30, 34, 42, 46, 53, 61, 62, 66, 91, 97, 99, 106, 114, 121, 137, 145, 146, 150, 154, 162, 172, 175, 180, 189, 203, 214, 217, 221, 232, 239, 250, 258, 259, 263, 266, 274, 278, 289, 293, 297, 304, 309, 316, 319, 324, 331, 334, 335, 338, 342, 344, 350, 357, 360

Offset

1,1

Links

Table of n, a(n) for n=1..54.

Example

34 is in the sequence because if g(34) = 35th_prime - 34th_prime = 149 - 139 = 10 and g(33) = 34th_prime - 33rd_prime = 139 - 137 = 2 and g(32) = 33rd_prime - 32nd_prime = 137 - 131 = 6, then g(34) > g(33) + g(32) or 10 > 2 + 6

Mathematica

g[n_] := Prime[n + 1] - Prime[n]; Select[Range[3, 360], g[ # ] > g[ # - 1] + g[ # - 2] &] (* Ray Chandler, Aug 23 2005 *)

Crossrefs

Cf. A001223, A066495.

Sequence in context: A295693 A095992 A061842 * A218114 A368496 A138689

Adjacent sequences: A109223 A109224 A109225 * A109227 A109228 A109229

Keyword

nonn

Author

Ray G. Opao, Aug 19 2005

Extensions

Extended by Ray Chandler, Aug 23 2005

Status

approved