A089527 p(k) such that 2*p(k)+3 and 2*p(k+1) + 3 are consecutive primes, where p(i) denotes the i-th prime.

5, 17, 43, 137, 193, 197, 223, 227, 349, 379, 463, 1033, 1109, 1303, 1427, 1559, 1607, 1609, 3163, 3613, 3767, 3823, 4289, 4337, 4637, 4969, 5657, 5839, 6199, 6709, 6733, 7823, 8363, 8699, 8747, 8863, 9127, 9643, 9743, 9967, 10253, 10459, 10979, 11593

Offset

1,1

Links

Table of n, a(n) for n=1..44.

Formula

a(n) = A000040(A089526(n)).

Example

p(3)=5, 2*5 + 3 = 13 = p(6);
p(4)=7, 2*7 + 3 = 17 = p(7).

Crossrefs

Subsequence of A023204.

Cf. A089526, A089528, A089529.

Sequence in context: A100662 A168617 A046916 * A146778 A146858 A146183

Adjacent sequences: A089524 A089525 A089526 * A089528 A089529 A089530

Keyword

nonn

Author

Ray Chandler, Nov 07 2003

Extensions

Offset changed to 1 by Jinyuan Wang, Aug 04 2021

Status

approved