A309381 Lucky primes k such that k+6 is also a lucky prime.

7, 31, 37, 67, 73, 613, 991, 1087, 1117, 2467, 3301, 3307, 3607, 4561, 4987, 4993, 6367, 6373, 8263, 8641, 9643, 10903, 11827, 11953, 12373, 12547, 15187, 15901, 17047, 18043, 19603, 20353, 21751, 23671, 25147, 28837, 31033, 31231, 37957, 38707, 38917, 43201, 44383, 46021, 49627

Offset: 1

Author

Robert Israel, Jul 26 2019

Keywords

• nonn

Comments

A031157(k) for k such that A309334(k)=6.

The minimum gap between lucky primes (after the first) is 6.

Examples

			37 and 37+6=43 are both lucky primes, so 37 is in the sequence.
		

Links

• Robert Israel, Table of n, a(n) for n = 1..1615

Crossrefs

Cf. A031157, A309334.

Programs

Maple

N:= 10^5: # for terms <= N
L:= [seq(i,i=1..N+6,2)]:
for n from 2 while n < nops(L) do
  r:= L[n];
  L:= subsop(seq(r*i=NULL, i=1..nops(L)/r), L);
od:
L:= convert(select(isprime,L),set):
A:= L intersect map(`-`,L,6):
sort(convert(A,list));