A144940 Primes of form: sum of prime 5-tuples (A022007).

67, 17317, 80317, 97117, 398467, 1333417, 1423717, 1876267, 2317267, 3332167, 4890367, 5456317, 5911417, 6151867, 6622867, 9151717, 9522367, 11013967, 13372717, 15381967, 17080267, 21663067, 22439017, 22552417, 24262267

Offset

1,1

Links

Table of n, a(n) for n=1..25.

Formula

7+11+13+17+19=67

Mathematica

lst={}; Do[p=Prime[n]; If[PrimeQ[p+4]&&PrimeQ[p+6]&&PrimeQ[p+10]&&PrimeQ[p+12], s=p+p+4+p+6+p+10+p+12; If[PrimeQ[s], AppendTo[lst, s]]], {n, 10!}]; lst
Select[Total/@Select[Partition[Prime[Range[350000]], 5, 1], Differences[#]=={4, 2, 4, 2}&], PrimeQ] (* Harvey P. Dale, Dec 20 2022 *)

Crossrefs

Sequence in context: A156121 A280004 A211961 * A211962 A263463 A367903

Adjacent sequences: A144937 A144938 A144939 * A144941 A144942 A144943

Keyword

nonn

Author

Vladimir Joseph Stephan Orlovsky, Sep 25 2008

Status

approved