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Primes of the form n/(2*(p(n)-p(n-1))), where p(n)=n-th prime.
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%I #4 Mar 30 2012 18:52:27

%S 2,2,11,2,5,19,43,23,19,31,23,79,29,59,43,139,179,181,31,223,233,79,

%T 281,293,151,157,317,53,163,109,337,359,181,43,199,83,109,463,467,241,

%U 491,523,89,607,103,631,79,643,673,233,89,179,757,773,89,821,823,839,859,433,293

%N Primes of the form n/(2*(p(n)-p(n-1))), where p(n)=n-th prime.

%C Entries may be repeated and are shown in order of increasing generator n.

%e n=8: 8/(2*(p(8)-p(8-1)))=8/(2*(19-17))=2=a(1).

%e n=24: 24/(2*(p(24)-p(24-1)))=24/(2*(89-83))=2=a(2).

%e n=44: 44/(2*(p(44)-p(44-1)))=44/(2*(193-191))=11=a(3).

%e n=48, 48/(2*(p(48)-p(48)))=48/(2*(223-211))=2=a(4).

%e n=80: 80/(2*(p(80)-p(80-1)))=80/(2*(409-401))=5=a(5).

%e n=152: 152/(2*(p(152)-p(152-1)))=152/(2*(881-877))=19=a(6).

%Y Cf. A000040.

%K nonn

%O 1,1

%A _Juri-Stepan Gerasimov_, Sep 13 2008

%E Corrected and extended by _R. J. Mathar_, Sep 26 2008