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A196673
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Chebyshev primes that begin a record gap to the next Chebyshev prime.
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1
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109, 113, 139, 317, 887, 1327, 1913, 3089, 8297, 11177, 29761, 45707, 113383, 164893, 291377, 401417, 638371, 1045841
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OFFSET
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1,1
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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 Chebyshev primes that begin a record gap to the next Chebyshev prime.
See A196672 for the length of the gap.
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REFERENCES
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M. Planat and P. Solé, Preprint 1109.6489 [math.NT]
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LINKS
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Table of n, a(n) for n=1..18.
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CROSSREFS
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Cf. A002386 (primes beginning a record gap).
Cf. A182876 (Ramanujan primes that begin a record gap to the next Ramanujan prime).
Sequence in context: A130705 A051046 A196667 * A159027 A039492 A095609
Adjacent sequences: A196670 A196671 A196672 * A196674 A196675 A196676
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KEYWORD
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nonn
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AUTHOR
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Michel Planat, Oct 05 2011
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STATUS
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approved
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