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A136061 Primes p such that (p+4)/5 is also prime. 11
11, 31, 61, 151, 181, 211, 331, 541, 631, 691, 751, 811, 991, 1051, 1201, 1381, 1531, 1741, 1831, 1861, 2161, 2281, 2311, 2731, 2851, 3001, 3061, 3301, 3361, 3541, 3631, 3691, 3931, 4051, 4111, 4261, 4591, 4831, 4951, 5101, 5431, 5581, 5641, 5851, 6151 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Equivalently: Mother primes of order 2. For smallest mother primes of order n see A136020 (also definition). For mother primes of order 1 see A091180.

LINKS

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

MATHEMATICA

n = 2; a = {}; Do[If[PrimeQ[(Prime[k] + 2n)/(2n + 1)], AppendTo[a, Prime[k]]], {k, 1, 1500}]; a

Select[Prime[Range[400]], PrimeQ[(# + 4) / 5]&] (* Vincenzo Librandi, Apr 14 2013 *)

PROG

(PARI) {forprime(p=1, 1e4/*default(primelimit)*/, p%5-1 & next; isprime(p\5+1) & print1(p", "))}  \\ M. F. Hasler, Feb 26 2012

(GAP) A136061:=Filtered(Filtered([1..10^6], IsPrime), p->IsPrime((p+4)/5)); # Muniru A Asiru, Oct 10 2017

CROSSREFS

Cf. A088878, A091180, A136019, A136020, A136062, A136063, A136064, A136065, A136066, A136067, A136068, A136069, A136070.

Sequence in context: A062786 A090562 A174244 * A296034 A090233 A139836

Adjacent sequences:  A136058 A136059 A136060 * A136062 A136063 A136064

KEYWORD

nonn,easy

AUTHOR

Artur Jasinski, Dec 12 2007

STATUS

approved

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Last modified June 13 00:57 EDT 2021. Contains 344980 sequences. (Running on oeis4.)