OFFSET
1,1
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
KEYWORD
nonn
AUTHOR
Juri-Stepan Gerasimov, Sep 15 2008
EXTENSIONS
Corrected and extended by R. J. Mathar, Sep 26 2008
STATUS
approved