A196675 The n-th Chebyshev primes that are equal to the 2n-th primes.

164051, 231299, 255919, 274177, 343517, 447827, 450451, 528167, 587519, 847607, 1209469

Offset

1,1

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 n-th Chebyshev primes that are equal to the 2n-th primes.

See A196674 for the number n at the zeros of the function a(n)-p_{2n}, where a(n) is the n-th Chebyshev prime and p_{2n} the 2n-th prime.

Links

Table of n, a(n) for n=1..11.

M. Planat and P. Solé, Efficient prime counting and the Chebyshev primes arXiv:1109.6489 [math.NT], 2011.

Crossrefs

Cf. A196674 (number n at the zeros of the function a(n)-p_{2n}, where a(n) is the n-th Chebyshev prime and p_{2n} the 2n-th prime).

Sequence in context: A031677 A234989 A110072 * A034603 A234680 A226004

Adjacent sequences: A196672 A196673 A196674 * A196676 A196677 A196678

Keyword

nonn

Author

Michel Planat, Oct 06 2011

Status

approved