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.

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

Offset: 1

Author

Michel Planat, Oct 05 2011

Keywords

• nonn

Comments

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.

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.

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

Links

• M. Planat and P. Solé, Efficient prime counting and the Chebyshev primes arXiv:1109.6489 [math.NT]