A141867 Primes of the form (n/2+p(n-1)-p(n))/2, where p(n)=n-th prime.

3, 3, 5, 7, 11, 13, 17, 17, 23, 31, 29, 37, 43, 47, 53, 61, 61, 61, 71, 79, 83, 101, 103, 107, 113, 137, 137, 139, 151, 163, 167, 163, 167, 173, 173, 179, 181, 199, 211, 211, 223, 229, 233, 233, 239, 233, 251, 251, 263, 263, 283, 277, 307, 307, 313, 317, 313, 337, 347, 347

Offset

1,1

Comments

Entries may be repeated and are shown in order of increasing generator n.

Links

Harvey P. Dale, Table of n, a(n) for n = 1..1000

Example

If n=20, then (20/2+p(20-1)-p(20))/2=(10+67-71)/2=3=a(1).
If n=24, then (24/2+p(24-1)-p(24))/2=(12+83-89)/2=3=a(2).
If n=28, then (28/2+p(28-1)-p(28))/2=(14+103-107)/2=5=a(3).
If n=40, then (40/2+p(40-1)-p(40))/2=(20+167-173)/2=7=a(4).

Mathematica

Select[Table[(n/2+Prime[n-1]-Prime[n])/2, {n, 4, 2000, 4}], PrimeQ] (* Harvey P. Dale, Nov 14 2020 *)

Crossrefs

Cf A000040.

Sequence in context: A129758 A176347 A161834 * A163646 A323529 A328222

Adjacent sequences: A141864 A141865 A141866 * A141868 A141869 A141870

Keyword

nonn,less

Author

Juri-Stepan Gerasimov, Sep 16 2008

Extensions

Corrected and extended by R. J. Mathar, Sep 26 2008

Status

approved