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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. 1
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 (list; graph; refs; listen; history; text; internal format)
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 A138689 A257447

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

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Last modified October 5 03:25 EDT 2022. Contains 357240 sequences. (Running on oeis4.)