

A226949


Number of twin prime pairs of the form k*n +/ 1 with k <= n.


1



0, 1, 1, 2, 0, 4, 1, 0, 2, 2, 0, 4, 0, 1, 4, 2, 1, 6, 1, 3, 2, 2, 1, 5, 2, 1, 3, 1, 2, 11, 0, 1, 4, 2, 2, 6, 0, 2, 4, 3, 1, 9, 2, 3, 4, 3, 1, 7, 1, 4, 5, 5, 0, 8, 4, 1, 3, 3, 1, 15, 0, 3, 4, 4, 4, 13, 3, 4, 4, 5, 3, 10, 0, 3, 11, 2, 3, 12, 0, 6, 6, 3, 2, 13, 3
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OFFSET

1,4


LINKS

Amiram Eldar, Table of n, a(n) for n = 1..10000


EXAMPLE

a(4) = 2 because there are two twin prime pairs of the form (4k  1,4k + 1) with 1 <= k <= 4, namely (3, 5) for k = 1 and (11, 13) for k = 3.


MATHEMATICA

a[n_] := Sum[Boole[PrimeQ[k*n  1] && PrimeQ[k*n + 1]], {k, 1, n}]; Array[a, 100] (* Amiram Eldar, Dec 25 2019 *)


PROG

(PARI) a(n)=sum(k=1, n, isprime(k*n1)&&isprime(k*n+1)) \\ Charles R Greathouse IV, Jun 27 2013


CROSSREFS

Cf. A014574, A071558.
Sequence in context: A112081 A265158 A210444 * A166589 A332696 A255330
Adjacent sequences: A226946 A226947 A226948 * A226950 A226951 A226952


KEYWORD

nonn


AUTHOR

Irina Gerasimova, Jun 23 2013


EXTENSIONS

a(7), a(20), a(36) corrected by Charles R Greathouse IV, Jun 27 2013
a(54)a(90) from Charles R Greathouse IV, Jun 27 2013


STATUS

approved



