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A007350 Where prime race 4n-1 vs. 4n+1 changes leader.
(Formerly M3182)
+0
12
3, 26861, 26879, 616841, 617039, 617269, 617471, 617521, 617587, 617689, 617723, 622813, 623387, 623401, 623851, 623933, 624031, 624097, 624191, 624241, 624259 (list; graph; listen)
OFFSET

1,1

COMMENT

The following references include some on the "prime race" question that are not necessarily related to this sequence. - N. J. A. Sloane (njas(AT)research.att.com), May 22 2006

REFERENCES

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

Feuerverger, Andrey; Martin, Greg; Biases in the Shanks-Renyi prime number race. Experiment. Math. 9 (2000), no. 4, 535-570.

Ford, Kevin; Konyagin, Sergei; Chebyshev's conjecture and the prime number race. IV International Conference "Modern Problems of Number Theory and its Applications": Current Problems, Part II (Russian) (Tula, 2001), 67-91.

Ford, Kevin; Konyagin, Sergei; The prime number race and zeros of L-functions off the critical line. II. Proceedings of the Session in Analytic Number Theory and Diophantine Equations, 40 pp., Bonner Math. Schriften, 360, 2003.

Granville, Andrew; Martin, Greg; Prime number races. (Spanish) With appendices by Giuliana Davidoff and Michael Guy. Gac. R. Soc. Mat. Esp. 8 (2005), no. 1, 197-240.

A. Granville and G. Martin, Prime number races, Amer. Math. Monthly, 113 (No. 1, 2006), 1-33.

Kaczorowski, Jerzy; A contribution to the Shanks-Renyi race problem. Quart. J. Math. Oxford Ser. (2) 44 (1993), no. 176, 451-458.

Kaczorowski, Jerzy; On the Shanks-Renyi race problem mod 5. J. Number Theory 50 (1995), no. 1, 106-118.

Martin, Greg; Asymmetries in the Shanks-Renyi prime number race. Number theory for the millennium, II (Urbana, IL, 2000), 403-415, A K Peters, Natick, MA, 2002.

Puchta, J.-C.; On large oscillations of the remainder of the prime number theorems. Acta Math. Hungar. 87 (2000), no. 3, 213-227.

M. Rubinstein and P. Sarnak, Chebyshev's bias, Exper. Math., 3 (1994), 173-197.

Ziegler, G. M. The great prime number record races. Notices Amer. Math. Soc. 51 (2004), no. 4, 414-416.

LINKS

A. Granville and G. Martin, Prime number races

CROSSREFS

Cf. A007351, A038691.

Cf. A156749 Sequence showing Chebyshev bias in prime races (mod 4). [From Daniel Forgues (squid(AT)zensearch.com), Mar 26 2009]

Sequence in context: A128121 A112406 A115475 this_sequence A003839 A030463 A086509

Adjacent sequences: A007347 A007348 A007349 this_sequence A007351 A007352 A007353

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com), Mira Bernstein, Robert G. Wilson v (rgwv(AT)rgwv.com)

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Last modified December 15 00:47 EST 2009. Contains 170825 sequences.


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