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%I #9 Mar 28 2024 11:57:49
%S 7,13,19,31,43,61,73,103,109,139,151,181,193,199,229,241,271,283,313,
%T 349,421,433,463,523,571,601,619,643,661,811,823,829,859,883,1021,
%U 1033,1051,1063,1093,1153,1231,1279,1291,1303,1321,1429,1453,1483,1489,1609
%N Primes p such that either p-5/2 -+ 1/2 is prime.
%C Greater of twin primes where twin primes of the form 6*k+1.
%H Cristian Cobeli and Alexandru Zaharescu, <a href="https://arxiv.org/abs/2403.14894">On the discrete trajectories of a self-propelled particle</a>, arXiv:2403.14894 [math.NT], 2024. See p. 11.
%F a(n) = A006512(n+1).
%t Select[Prime@ Range[4, 250], AnyTrue[# - 5/2 + {-1/2, 1/2}, PrimeQ] &] (* _Michael De Vlieger_, Mar 28 2024 *)
%Y Cf. A006512.
%K nonn
%O 1,1
%A _Juri-Stepan Gerasimov_, Jan 24 2010
%E Corrected (829 and 859 inserted) _R. J. Mathar_, May 02 2010