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A196673 Chebyshev primes that begin a record gap to the next Chebyshev prime. 1

%I #13 Aug 13 2013 03:01:25

%S 109,113,139,317,887,1327,1913,3089,8297,11177,29761,45707,113383,

%T 164893,291377,401417,638371,1045841

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

%C 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.

%C The present sequence lists the Chebyshev primes that begin a record gap to the next Chebyshev prime.

%C See A196672 for the length of the gap.

%H M. Planat and P. Solé, <a href="http://arxiv.org/abs/1109.6489">Efficient prime counting and the Chebyshev primes</a> arXiv:1109.6489 [math.NT]

%Y Cf. A002386 (primes beginning a record gap).

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

%K nonn

%O 1,1

%A _Michel Planat_, Oct 05 2011

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Last modified August 23 06:45 EDT 2024. Contains 375375 sequences. (Running on oeis4.)