Search: id:A007350
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%I A007350 M3182
%S A007350 3,26861,26879,616841,617039,617269,617471,617521,617587,617689,617723,
%T A007350 622813,623387,623401,623851,623933,624031,624097,624191,624241,624259
%N A007350 Where prime race 4n-1 vs. 4n+1 changes leader.
%C A007350 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
%D A007350 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%D A007350 Feuerverger, Andrey; Martin, Greg; Biases in the Shanks-Renyi prime number 
               race. Experiment. Math. 9 (2000), no. 4, 535-570.
%D A007350 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.
%D A007350 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.
%D A007350 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.
%D A007350 A. Granville and G. Martin, Prime number races, Amer. Math. Monthly, 
               113 (No. 1, 2006), 1-33.
%D A007350 Kaczorowski, Jerzy; A contribution to the Shanks-Renyi race problem. 
               Quart. J. Math. Oxford Ser. (2) 44 (1993), no. 176, 451-458.
%D A007350 Kaczorowski, Jerzy; On the Shanks-Renyi race problem mod 5. J. Number 
               Theory 50 (1995), no. 1, 106-118.
%D A007350 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.
%D A007350 Puchta, J.-C.; On large oscillations of the remainder of the prime number 
               theorems. Acta Math. Hungar. 87 (2000), no. 3, 213-227.
%D A007350 M. Rubinstein and P. Sarnak, Chebyshev's bias, Exper. Math., 3 (1994), 
               173-197.
%D A007350 Ziegler, G. M. The great prime number record races. Notices Amer. Math. 
               Soc. 51 (2004), no. 4, 414-416.
%H A007350 A. Granville and G. Martin, <a href="http://www.arXiv.org/abs/math.NT/
               0408319">Prime number races</a>
%Y A007350 Cf. A007351, A038691.
%Y A007350 Cf. A156749 Sequence showing Chebyshev bias in prime races (mod 4). [From 
               Daniel Forgues (squid(AT)zensearch.com), Mar 26 2009]
%Y A007350 Sequence in context: A128121 A112406 A115475 this_sequence A003839 A030463 
               A086509
%Y A007350 Adjacent sequences: A007347 A007348 A007349 this_sequence A007351 A007352 
               A007353
%K A007350 nonn,easy
%O A007350 1,1
%A A007350 N. J. A. Sloane (njas(AT)research.att.com), Mira Bernstein, Robert G. 
               Wilson v (rgwv(AT)rgwv.com)

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