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A158017 Primes p such that 10*p-1 is also prime. 4
2, 3, 11, 23, 41, 71, 83, 101, 107, 113, 149, 167, 179, 227, 239, 269, 311, 317, 347, 353, 389, 479, 491, 521, 557, 569, 587, 647, 653, 683, 809, 821, 827, 839, 863, 911, 977, 983, 1091, 1229, 1259, 1283, 1289, 1301, 1367, 1373, 1439, 1487, 1493, 1607, 1619 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

The family of prime sequences that generate primes k*p-1 for k = 2, 4, 6, 8, ... also comprises A005382 (k=2), A062737 (k=4), A158015 (k=6), and A158016 (k=8).

Solutions of the equation (10*n-1)' + n' = 2, where n' is the arithmetic derivative of n. [Paolo P. Lava, Oct 31 2012]

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 1..1000

MATHEMATICA

Flatten[Table[If[PrimeQ[n] && PrimeQ[10*n - 1], n, {}], {n, 1, 10000}]]

Select[Prime[Range[600]], PrimeQ[(10 # - 1)]&] (* Vincenzo Librandi, Apr 14 2013 *)

PROG

(MAGMA) [p: p in PrimesUpTo(3000)|IsPrime(10*p-1)] // Vincenzo Librandi, Jan 29 2011

CROSSREFS

Cf. A005382, A062737.

Sequence in context: A080153 A040124 A082739 * A091310 A040994 A141123

Adjacent sequences:  A158014 A158015 A158016 * A158018 A158019 A158020

KEYWORD

nonn,easy

AUTHOR

Roger L. Bagula, Mar 11 2009

STATUS

approved

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Last modified April 23 01:23 EDT 2021. Contains 343198 sequences. (Running on oeis4.)