

A270563


Integers n such that A086167(n) and A086168(n) are both prime.


0




OFFSET

1,2


COMMENTS

A013916 lists numbers n such that the sum of the first n primes is prime. With similar motivation, twin prime pairs generate prime pairs in this sequence. Note that 2*n also gives the difference between members of prime pair that is generated by sum of first n twin prime pairs.
First differences of this sequence are 14, 30, 60, 30, 96, 576, ...


LINKS

Table of n, a(n) for n=1..7.


EXAMPLE

15 is a term since A086167(15) = 1297 and A086168(15) = 1297 + 15*2 = 1327. 1297 and 1327 are both prime.


PROG

(PARI) t(n, p=3) = {while( p+2 < (p=nextprime( p+1 ))  n>0, ); p2}
s1(n) = sum(k=1, n, t(k));
s2(n) = sum(k=1, n, t(k)+2);
for(n=1, 1e3, if(ispseudoprime(s1(n)) && ispseudoprime(s2(n)), print1(n, ", ")));


CROSSREFS

Cf. A086167, A086168.
Sequence in context: A014634 A303857 A278337 * A126228 A072251 A002756
Adjacent sequences: A270560 A270561 A270562 * A270564 A270565 A270566


KEYWORD

nonn,more


AUTHOR

Altug Alkan, Mar 19 2016


STATUS

approved



