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A236467 Primes p with p + 2 and prime(p) - 2 both prime. 6
3, 11, 29, 149, 179, 191, 269, 347, 431, 461, 617, 659, 1031, 1619, 1931, 3467, 3527, 4799, 6569, 6689, 7349, 7877, 9011, 9767, 11117, 12611, 13691, 13901, 14549, 16067, 16139, 16451, 16631, 17489, 17681, 18911, 20981, 22367, 23909, 24179 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

According to the conjecture in A236468, this sequence should have infinitely many terms.

See A236457 and A236458 for similar sequences.

LINKS

Zhi-Wei Sun, Table of n, a(n) for n = 1..10000

EXAMPLE

a(1) = 3 since 3, 3 + 2 = 5 and prime(3) - 2 = 3 are all prime, but 2 + 2 = 4 is composite.

MATHEMATICA

p[n_]:=p[n]=PrimeQ[n+2]&&PrimeQ[Prime[n]-2]

n=0; Do[If[p[Prime[m]], n=n+1; Print[n, " ", Prime[m]]], {m, 1, 10000}]

CROSSREFS

Cf. A000040, A001359, A006512, A236119, A236457, A236458, A236462, A236464, A236468.

Sequence in context: A122023 A259594 A293010 * A179234 A009183 A165893

Adjacent sequences:  A236464 A236465 A236466 * A236468 A236469 A236470

KEYWORD

nonn

AUTHOR

Zhi-Wei Sun, Jan 26 2014

STATUS

approved

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Last modified September 18 10:13 EDT 2019. Contains 327170 sequences. (Running on oeis4.)