OFFSET
1,1
COMMENTS
2*3+1=7, 5*2+1=11, ...
MATHEMATICA
lst={}; Do[p=Prime[n]; If[PrimeQ[(p-1)*(p+1)-p]&&PrimeQ[(p-1)*(p+1)+p], If[PrimeQ[p*2+1], AppendTo[lst, p]]], {n, 8!}]; lst
Select[Prime[Range[10000]], AllTrue[{2#+1, (#-1)(#+1)+#, (#-1)(#+1)-#}, PrimeQ]&] (* Harvey P. Dale, Sep 21 2023 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
Vladimir Joseph Stephan Orlovsky, Jan 17 2009
STATUS
approved