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2n-th twin prime such that the q-th prime of the form 6*k-1 and the q-th prime of the form 6*k+1 are the 2n-th and (2n+1)-st twin primes (A001097).
1

%I #15 Apr 12 2014 16:51:30

%S 5,11,17,41,227

%N 2n-th twin prime such that the q-th prime of the form 6*k-1 and the q-th prime of the form 6*k+1 are the 2n-th and (2n+1)-st twin primes (A001097).

%e a(1)=5 because 1st primes (6*1-1=5 and 6*1+1=7) are a pair of twin primes;

%e a(2)=11 because 2nd primes (6*2-1=11 and 6*2+1=13) are a pair of twin primes;

%e a(3)=17 because 3rd primes (6*3-1=17 and 6*3+1=19) are a pair of twin primes;

%e a(4)=41 because 6th primes (6*7-1=41 and 6*7+1=43) are a pair of twin primes;

%e a(5)=227 because 24th primes (6*38-1=227 and 6*38+1=229) are a pair of twin primes.

%Y Cf. A000027, A001097, A002476, A007528, A171708.

%K nonn,more

%O 1,1

%A _Juri-Stepan Gerasimov_, Dec 16 2009

%E Incorrect a(6) removed by _R. J. Mathar_, Jun 07 2010