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

Author

Michel Planat, Oct 05 2011

Keywords

• nonn

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

• 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).