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A196671
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The number of Chebyshev primes (of index 1) less than 10^n, (n=1,2,...).
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0
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OFFSET
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1,3
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COMMENTS
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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.
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LINKS
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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