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A047078 Primes at which difference pattern X2Y (X and Y >= 6) occurs in A001223. 9
29, 59, 137, 149, 179, 239, 269, 419, 431, 521, 569, 599, 659, 809, 1019, 1031, 1049, 1061, 1151, 1229, 1289, 1319, 1619, 1721, 1931, 1949, 2027, 2111, 2129, 2309, 2339, 2549, 2591, 2729, 2789, 2969, 2999, 3119, 3299, 3329, 3359, 3371, 3389, 3539, 3557 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Michael De Vlieger, Table of n, a(n) for n = 1..10000

EXAMPLE

59 is here because 59 + 2 = 61 is prime, but the difference pattern around 59 is {[53] 6 [59] 2 [61] 6 [67]}.

MATHEMATICA

Select[Prime@ Range[2, 500], Times @@ Boole@ {First@ # >= 6, #[[2]] == 2, Last@ # >= 6} == 1 &@ Differences@ Prime[# + Range[-1, 2]] &@ PrimePi@ # &] (* Michael De Vlieger, Jul 04 2016 *)

CROSSREFS

Cf. A001223, A022008, A052160, A052162-A052168.

Sequence in context: A161928 A140340 A140754 * A073651 A042672 A042670

Adjacent sequences:  A047075 A047076 A047077 * A047079 A047080 A047081

KEYWORD

nonn,changed

AUTHOR

Labos Elemer, Jan 26 2000

STATUS

approved

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Last modified September 21 15:29 EDT 2017. Contains 292307 sequences.