OFFSET
1,3
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 number of Chebyshev primes less than 10^n, (n=1,2,...).
The sequence suggests the density pi(x)/2 for the Chebyshev primes, where pi(x) is the density of primes.
LINKS
M. Planat and P. Solé, Efficient prime counting and the Chebyshev primes arXiv:1109.6489 [math.NT]
CROSSREFS
KEYWORD
nonn
AUTHOR
Michel Planat, Oct 05 2011
STATUS
approved