A007352 Where the prime race 3k-1 vs. 3k+1 changes leader. (Formerly M2191)

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

Offset

1,1

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, A297406, A297407, A297408, A297410, A297411.

Sequence in context: A072947 A077303 A185703 * A257229 A176944 A068138

Adjacent sequences: A007349 A007350 A007351 * A007353 A007354 A007355

Keyword

nonn

Author

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

Extensions

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

Status

approved