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

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