|
%I #28 Jul 08 2018 01:41:35
%S 0,8,10,24,28,34,46,52,58,66,78,80,94,96,126,134,162,166,180,208,240,
%T 258,270
%N Records of A164368(n) - A194598(n).
%C Theorem. If in the intervals {(A194598(n), A164368(n))} with lengths a(n)-1 the number of primes is unbounded, then there exist arbitrarily long sequences of consecutive primes p_k, p_(k+1),...,p_m such that every interval (p_i/2, p_(i+1)/2), i=k,k+1,...,m-1, contains a prime.
%H V. Shevelev, <a href="http://www.cs.uwaterloo.ca/journals/JIS/VOL15/Shevelev/shevelev19.html">Ramanujan and Labos primes, their generalizations, and classifications of primes</a>, J. Integer Seq. 15 (2012) Article 12.5.4.
%Y Cf. A164368, A194598, A182366, A182426.
%K nonn
%O 1,2
%A _Vladimir Shevelev_, Apr 27 2012
|
