A141795 Primes of the form n/(p(n+2)-p(n+1)), where p(n)=n-th prime.

2, 3, 7, 17, 11, 41, 23, 17, 29, 37, 31, 19, 53, 107, 59, 71, 157, 83, 17, 97, 197, 71, 43, 53, 277, 281, 47, 283, 97, 59, 109, 167, 113, 347, 29, 359, 131, 409, 137, 139, 211, 157, 479, 163, 73, 103, 107, 557, 193, 151, 617, 103, 631, 107, 643, 673, 227, 229, 349, 709, 251

Offset

1,1

Links

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

Example

n=4: 4/(p(4+2)-p(4+1))=4/(13-11)=2=a(1).
n=6: 6/(p(6+2)-p(6+1))=6/(19-17)=3=a(2).
n=28: 28/(p(28+2)-p(28+1))=28/(113-109)=7=a(3).
n=34: 34/(p(34+2)-p(34+1))=34/(151-149)=17=a(4).
n=66: 66/(p(66+2)-p(66+1))=66/(337-331)=11=a(5).

Mathematica

Select[Table[n/(Prime[n+2]-Prime[n+1]), {n, 3000}], PrimeQ] (* Harvey P. Dale, Dec 25 2023 *)

Crossrefs

Cf. A000040, A001223.

Sequence in context: A000278 A270525 A153787 * A077322 A174359 A160513

Adjacent sequences: A141792 A141793 A141794 * A141796 A141797 A141798

Keyword

nonn

Author

Juri-Stepan Gerasimov, Sep 15 2008

Extensions

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

Status

approved