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A358381
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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).
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1
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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
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OFFSET
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1,1
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COMMENTS
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Except for the first 2 terms, every term's last digit is a 7 in base 10.
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LINKS
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MAPLE
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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
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MATHEMATICA
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Select[Prime[Range[8500]], PrimeQ[6*# - 1] && PrimeQ[6*# + 1] && PrimeQ[12*# - 1] &] (* Amiram Eldar, Nov 13 2022 *)
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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