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A047948 Smallest of three consecutive primes with a difference of 6: primes p such that p+6 and p+12 are the next two primes. +0
19
47, 151, 167, 251, 257, 367, 557, 587, 601, 647, 727, 941, 971, 1097, 1117, 1181, 1217, 1361, 1741, 1747, 1901, 2281, 2411, 2671, 2897, 2957, 3301, 3307, 3631, 3727, 4007, 4451, 4591, 4651, 4987, 5101, 5107, 5297, 5381, 5387, 5557, 5801, 6067, 6257, 6311 (list; graph; listen)
OFFSET

1,1

LINKS

T. D. Noe, Table of n, a(n) for n=1..1000

FORMULA

Let p(k) = k-th prime; sequence gives n such that p(n+2)-p(n+1)=p(n+1)-p(n)=6.

EXAMPLE

47 is a term as the next two primes are 53 and 59.

CROSSREFS

Cf. A031924, A046138, A046789.

Cf. A033451 (four consecutive primes with difference 6)

Sequence in context: A044379 A044760 A142505 this_sequence A142529 A142634 A140641

Adjacent sequences: A047945 A047946 A047947 this_sequence A047949 A047950 A047951

KEYWORD

easy,nonn,nice

AUTHOR

Enoch Haga (Enokh(AT)comcast.net)

EXTENSIONS

Corrected by T. D. Noe, Mar 07 2008

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Last modified December 18 21:37 EST 2009. Contains 171024 sequences.


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