A007352 Where the prime race 3k-1 vs. 3k+1 changes leader.

2, 608981813029, 608981813507, 608981813683, 608981813819, 608981814127, 608981814143, 608981818999, 608981820977, 608981826877, 608981826977, 608981827873, 608981828201, 608981836363, 608981836493, 608981836681, 608981836973, 608981836993, 608981837063

Offset: 1

Author

N. J. A. Sloane, Mira Bernstein, Robert G. Wilson v, Apr 28 1994

Keywords

• nonn

Comments

Terms a(2n+1) form a subsequence of A098044.

References

• N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence, although the terms are incorrect - see A185703).

Links

• Donovan Johnson, Table of n, a(n) for n = 1..39215
• C. Bays and R. H. Hudson, Details of the first region of integers x with pi_{3,2}(x) < pi_{3,1}(x), Math. Comp. 32 (1978), 571-576.
• A. Granville and G. Martin, Prime number races, Amer. Math. Monthly, 113 (No. 1, 2006), 1-33.
• G. Martin, Asymmetries in the Shanks-Renyi Prime number race, arXiv:math/0010086 [math.NT], 2000.
• Pieter Moree, Chebyshev's bias for composite numbers with restricted prime divisors, Mathematics of computation 73.245 (2004): 425-449. See page 425.
• M. Rubinstein and P. Sarnak, Chebyshev's Bias, Exper. Math. 3 (4) (1994) 209.
• Robert G. Wilson v, Letter to N. J. A. Sloane, Aug. 1993

Crossrefs

Cf. A007352, A007350, A007353, A007354, A098044, A297406, A297407, A297408, A297410, A297411.

Extensions

Terms from a(3) onwards corrected by Max Alekseyev, Feb 10 2011