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A007352 Where prime race 3n-1 vs. 3n+1 changes leader.
(Formerly M2191)
17
2, 608981813029, 608981813507, 608981813683, 608981813819, 608981814127, 608981814143, 608981818999, 608981820977, 608981826877, 608981826977, 608981827873, 608981828201, 608981836363, 608981836493, 608981836681 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

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

REFERENCES

Moree, Pieter. "Chebyshev’s bias for composite numbers with restricted prime divisors." Mathematics of computation 73.245 (2004): 425-449. See page 425.

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.

M. Rubinstein, P. Sarnak, Chebyshev's Bias, Exper. Math. 3 (4) (1994) 209.

R. 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

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Last modified February 23 07:28 EST 2020. Contains 332159 sequences. (Running on oeis4.)