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A196674 Numbers n such that c(n) = p_{2n}, where c(n) is the n-th Chebyshev prime and p_{2n} the 2n-th prime. 1

%I #13 Aug 13 2013 03:01:28

%S 510,10271,11259,11987,14730,18772,18884,21845,24083,33723,46789

%N Numbers n such that c(n) = p_{2n}, where c(n) is the n-th Chebyshev prime and p_{2n} the 2n-th prime.

%C The Chebyshev primes (of index 1) are such odd primes that satisfy li[psi(p)]-li[psi(p-1)]<1 (sequence A196667), where li(x) is the logarithmic integral and psi(x) is the Chebyshev's psi function.

%C THe present sequence lists the zeros of the function c(n)-p_{2n}, where c(n) is the n-th Chebyshev prime and p_{2n} the 2n-th prime.

%C See A196675 for the Chebyshev primes satisfying a(n)=p_{2n}.

%H M. Planat and P. Solé, <a href="http://arxiv.org/abs/1109.6489">Efficient prime counting and the Chebyshev primes</a> arXiv:1109.6489 [math.NT]

%K nonn

%O 1,1

%A _Michel Planat_, Oct 05 2011

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Last modified September 6 06:24 EDT 2024. Contains 375703 sequences. (Running on oeis4.)