A159045 Primes of the form prime(k) + prime(k+5) + 1.

31, 41, 61, 67, 97, 103, 127, 139, 157, 191, 199, 211, 229, 263, 307, 331, 379, 421, 433, 479, 487, 509, 547, 563, 601, 659, 691, 811, 829, 863, 911, 929, 953, 971, 1009, 1051, 1093, 1201, 1249, 1291, 1303, 1453, 1471, 1571, 1693, 1741, 1747, 1789, 1801, 1873

Offset

1,1

Links

Shawn A. Broyles, Table of n, a(n) for n = 1..1000

Example

31 = prime(11) = prime(4) + prime(9) + 1,
41 = prime(13) = prime(5) + prime(10) + 1, and
61 = prime(18) = prime(8) + prime(13) + 1 are in the sequence.

Mathematica

lst={}; Do[p1=Prime[n]; p6=Prime[n+5]; p=p1+p6+1; If[PrimeQ[p], AppendTo[lst, p]], {n, 6!}]; lst

Prog

(PARI) lista(nn) = {for (n=1, nn, if (isprime(p = prime(n) + prime(n+5) + 1), print1(p, ", ")); ); } \\ Michel Marcus, May 01 2018

Crossrefs

Cf. A159043, A159044, A000040.

Sequence in context: A363187 A098711 A087053 * A099181 A040989 A040969

Adjacent sequences: A159042 A159043 A159044 * A159046 A159047 A159048

Keyword

nonn,easy

Author

Vladimir Joseph Stephan Orlovsky, Apr 03 2009

Extensions

Examples edited by R. J. Mathar, Apr 06 2009

Status

approved