

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
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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

ZhiWei 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

ZhiWei Sun, Jan 26 2014


STATUS

approved



