A196673 - OEIS

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A196673

Chebyshev primes that begin a record gap to the next Chebyshev prime.

109, 113, 139, 317, 887, 1327, 1913, 3089, 8297, 11177, 29761, 45707, 113383, 164893, 291377, 401417, 638371, 1045841

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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 Chebyshev primes that begin a record gap to the next Chebyshev prime.

See A196672 for the length of the gap.

LINKS

Table of n, a(n) for n=1..18.

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

CROSSREFS

Cf. A002386 (primes beginning a record gap).

Cf. A182876 (Ramanujan primes that begin a record gap to the next Ramanujan prime).

Sequence in context: A231701 A051046 A196667 * A159027 A039492 A253155

Adjacent sequences: A196670 A196671 A196672 * A196674 A196675 A196676

KEYWORD

nonn

AUTHOR

Michel Planat, Oct 05 2011

STATUS

approved