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%I #6 Dec 29 2023 10:29:28
%S 5,7,3,13,7,11,29,17,37,7,5,53,59,67,19,13,41,83,31,107,131,19,47,71,
%T 29,157,193,41,19,241,61,251,137,47,97,311,23,331,67,397,137,211,73,
%U 149,229,157,79,41,251,503,43,173,263,269,619,311,659,691,353,739,199,421,281,853
%N Primes of the form n/(2*(p(n+1)-p(n))), where p(n)=n-th prime.
%C Entries may be repeated and are shown in order of increasing generator n.
%e n=20: 20/(2*(p(20+1)-p(20)))=20/(2*(73-71))=5=a(1).
%e n=28: 28/(2*(p(28+1)-p(28)))=28/(2*(109-107))=7=a(2).
%e n=36: 36/(2*(p(36+1)-p(36)))=36/(2*(157-151))=3=a(3).
%e n=52: 52/(2*(p(52+1)-p(52)))=52/(2*(241-239))=13=a(4).
%e n=84: 84/(2*(p(84+1)-p(84)))=84/(2*(439-433))=7=a(5).
%e n=88: 88/(2*(p(88+1)-p(88)))=88/(2*(461-457))=11=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