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A196675 The n-th Chebyshev primes that are equal to the 2n-th primes. 2
164051, 231299, 255919, 274177, 343517, 447827, 450451, 528167, 587519, 847607, 1209469 (list; graph; refs; listen; history; text; internal format)
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 A199674 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]

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

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Last modified October 7 15:50 EDT 2022. Contains 357275 sequences. (Running on oeis4.)