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A358381 Primes p such that q1=6*p-1 and q2=6*p+1 are also primes (twin primes) and q1 is a Sophie Germain prime (i.e., 2*q1+1 is prime). 1
2, 5, 7, 47, 107, 907, 2137, 2347, 3407, 4547, 4597, 8377, 9067, 9277, 9767, 14537, 16427, 18307, 19507, 19997, 23447, 23917, 26927, 27437, 28837, 29297, 33037, 37307, 38327, 45127, 46457, 50957, 52957, 55897, 59077, 59407, 60317, 63667, 65497, 69767, 74377, 77527, 86587, 86837 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Except for the first 2 terms, every term's last digit is a 7 in base 10.
LINKS
MAPLE
filter:= p -> andmap(isprime, [p, 6*p-1, 6*p+1, 12*p-1]):
select(filter, [2, 5, seq(i, i=7..10^5, 10)]); # Robert Israel, Dec 23 2022
MATHEMATICA
Select[Prime[Range[8500]], PrimeQ[6*# - 1] && PrimeQ[6*# + 1] && PrimeQ[12*# - 1] &] (* Amiram Eldar, Nov 13 2022 *)
CROSSREFS
Subsequence of A060212.
Cf. A005384.
Sequence in context: A069356 A041653 A182785 * A041125 A293592 A042257
KEYWORD
nonn
AUTHOR
Tamas Nagy, Nov 12 2022
STATUS
approved

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Last modified July 21 12:49 EDT 2024. Contains 374474 sequences. (Running on oeis4.)