A084198 Primes p such that there exists exactly one prime q

5, 7, 19, 43, 67, 97, 163, 181, 211, 283, 331, 349, 523, 547, 601, 691, 787, 853, 907, 937, 1021, 1051, 1123, 1171, 1429, 1531, 1549, 1723, 1777, 1867, 2011, 2029, 2053, 2083, 2113, 2251, 2281, 2347, 2371, 2467, 2521, 2707, 2731, 2749, 2803, 2971, 3067

Offset: 1

Author

Reinhard Zumkeller, May 18 2003

Keywords

• nonn

Comments

A084196(A049084(a(n)))=1.

Links

• Reinhard Zumkeller, Table of n, a(n) for n = 1..1000

Programs

Haskell

a084198 n = a084198_list !! (n-1)
a084198_list = map a000040 $ filter ((== 1) . a084196) [1..]
-- Reinhard Zumkeller, Jan 06 2014

Mathematica

pdQ[n_]:=Module[{prs=Prime[Range[500]],p1},p1=Select[prs,#?(Divisible[n+1,#]&)]==1]; Select[Prime[Range[500]],pdQ] (* _Harvey P. Dale, Dec 24 2013 *)

Extensions

Corrected by T. D. Noe, Oct 25 2006