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A181424 Primes p such that p and the two previous primes are in arithmetic progression. 4
7, 59, 163, 179, 223, 263, 269, 379, 569, 599, 613, 659, 739, 953, 983, 1109, 1129, 1193, 1229, 1373, 1523, 1753, 1759, 1913, 2293, 2423, 2683, 2909, 2969, 3313, 3319, 3643, 3739, 4019, 4421, 4463, 4603, 4663, 4703, 4999, 5113, 5119, 5309, 5393, 5399 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Call d(i)=p(i+2)-p(i+1) and dd(i)=d(i+1)-d(i) then dd(i)=0.

All related first differences are multiples of 6 except the first one, which is 2.

LINKS

Reinhard Zumkeller, Table of n, a(n) for n = 1..10000

FORMULA

a(n) = A000040(A064113(n) + 2). - Reinhard Zumkeller, Jan 20 2012

EXAMPLE

a(7)=269 since d(269,263)=6 and d(263,257)=6 and their difference is 0.

PROG

(Haskell)

a181424 = a000040 . (+ 2) . a064113  -- Reinhard Zumkeller, Jan 20 2012

CROSSREFS

Cf. A000045, A054643, A122535, A006562.

Sequence in context: A301275 A061424 A140371 * A142511 A236070 A059705

Adjacent sequences:  A181421 A181422 A181423 * A181425 A181426 A181427

KEYWORD

nonn

AUTHOR

Carmine Suriano, Oct 18 2010

STATUS

approved

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Last modified March 20 09:35 EDT 2019. Contains 321345 sequences. (Running on oeis4.)