A141651 Primes of the form n/(2*(p(n)-p(n-1))), where p(n)=n-th prime.

2, 2, 11, 2, 5, 19, 43, 23, 19, 31, 23, 79, 29, 59, 43, 139, 179, 181, 31, 223, 233, 79, 281, 293, 151, 157, 317, 53, 163, 109, 337, 359, 181, 43, 199, 83, 109, 463, 467, 241, 491, 523, 89, 607, 103, 631, 79, 643, 673, 233, 89, 179, 757, 773, 89, 821, 823, 839, 859, 433, 293

Offset

1,1

Comments

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

Links

Table of n, a(n) for n=1..61.

Example

n=8: 8/(2*(p(8)-p(8-1)))=8/(2*(19-17))=2=a(1).
n=24: 24/(2*(p(24)-p(24-1)))=24/(2*(89-83))=2=a(2).
n=44: 44/(2*(p(44)-p(44-1)))=44/(2*(193-191))=11=a(3).
n=48, 48/(2*(p(48)-p(48)))=48/(2*(223-211))=2=a(4).
n=80: 80/(2*(p(80)-p(80-1)))=80/(2*(409-401))=5=a(5).
n=152: 152/(2*(p(152)-p(152-1)))=152/(2*(881-877))=19=a(6).

Crossrefs

Cf. A000040.

Sequence in context: A283454 A027623 A037234 * A359425 A213990 A275429

Adjacent sequences: A141648 A141649 A141650 * A141652 A141653 A141654

Keyword

nonn

Author

Juri-Stepan Gerasimov, Sep 13 2008

Extensions

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

Status

approved