A141862 Primes of the form n/(p(n-1)-p(n-2)), where p(n)=n-th prime.

3, 2, 2, 3, 11, 7, 13, 31, 7, 13, 23, 17, 53, 59, 61, 31, 71, 73, 89, 31, 107, 31, 149, 31, 79, 167, 193, 223, 83, 257, 263, 47, 293, 157, 53, 109, 179, 193, 67, 47, 433, 443, 31, 157, 71, 251, 503, 509, 173, 521, 271, 37, 83, 197, 613, 617, 313, 631, 643, 109, 661, 337, 227

Offset

1,1

Links

Table of n, a(n) for n=1..63.

Example

n=3: 3/(p(3-1)-p(3-2))=3/(3-2)=3=a(1).
n=4: 4/(p(4-1)-p(4-2))=4/(5-3)=2=a(2).
n=8: 8/(p(8-1)-p(8-2))=8/(17-13)=2=a(3).
n=18: 18/(p(18-1)-p(18-2))=18/(59-53)=3=a(4).
n=22: 22/(p(22-1)-p(22-2))=22/(73-71)=11=a(5).

Mathematica

Select[Table[n/(Prime[n-1]-Prime[n-2]), {n, 3, 2000}], PrimeQ] (* Harvey P. Dale, May 20 2014 *)

Crossrefs

Cf. A000040, A001223.

Sequence in context: A046460 A327661 A117643 * A237612 A362465 A111739

Adjacent sequences: A141859 A141860 A141861 * A141863 A141864 A141865

Keyword

nonn

Author

Juri-Stepan Gerasimov, Sep 15 2008

Extensions

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

Status

approved