OFFSET
1,1
COMMENTS
EXAMPLE
If j=12, then 12-(p(12+3)-p(12))/(p(12+2)-p(12+1))=12-(47-37)/(43-41)=7=a(3).
If j=48, then 48-(p(48+3)-p(48))/(p(48+2)-p(48+1))=48-(233-223)/(229-227)=43: prime, in the sequence.
If j=88, then 88-(p(88+3)-p(88))/(p(88+2)-p(88+1))=88-(467-457)/(463-461)=83: prime, in the sequence
MATHEMATICA
Select[Table[n-(Prime[n+3]-Prime[n])/(Prime[n+2]-Prime[n+1]), {n, 1000}], PrimeQ[ #] &&#>0&]//Union (* Harvey P. Dale, Aug 12 2020 *)
CROSSREFS
KEYWORD
nonn,less
AUTHOR
Juri-Stepan Gerasimov, Sep 10 2008
EXTENSIONS
Corrected definition and examples, added many more terms - R. J. Mathar, Sep 13 2008
STATUS
approved