A154941 Sophie Germain primes in A154939.

3, 5, 11, 131, 419, 1409, 2069, 3449, 3761, 3911, 6899, 7079, 7151, 9539, 9791, 10529, 10691, 11321, 11831, 14741, 15269, 17291, 22079, 27281, 27809, 30449, 34439, 45131, 48479, 52289, 54251, 64439, 70901, 75389, 78839, 85691, 101411, 102911

Offset

1,1

Comments

2*3+1=7, 5*2+1=11, ...

Links

Table of n, a(n) for n=1..38.

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

Cf. A053184, A038872, A141158, A038615, A098058, A038936, A089270, A140559, A154939

Sequence in context: A089628 A083841 A277552 * A062601 A231017 A038198

Adjacent sequences: A154938 A154939 A154940 * A154942 A154943 A154944

Keyword

nonn

Author

Vladimir Joseph Stephan Orlovsky, Jan 17 2009

Status

approved