

A096452


Primes p such that the number of primes q, 5 <= q < p, congruent to 1 mod 3, is one less than the number of such primes congruent to 2 mod 3.


2



7, 13, 19, 29, 37, 43, 53, 71, 79, 89, 101, 107, 113, 131, 163, 173, 223, 229, 239, 251, 383, 443, 1811, 1871, 1877, 1889, 608981812613, 608981812667, 608981812891, 608981812951, 608981812993, 608981813929, 608981813941, 608981814019, 608981814173
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OFFSET

1,1


LINKS

Table of n, a(n) for n=1..35.
A. Granville, G. Martin, Prime number races, Amer. Math. Monthly vol 113, no 1 (2006) p 1.
G. D. Martin, Biases in the ShanksRenyi prime number race, FoCM'02 Conference, Minneapolis, 514 Aug 2002.


MATHEMATICA

lst = {}; p = q = 0; r = 5; While[r < 10^5, If[ Mod[r, 3] == 2, p++, q++ ]; r = NextPrime@ r; If[p == q + 1, AppendTo[lst, r]; Print@ r]]; lst (* Robert G. Wilson v, Sep 20 2009 *)


CROSSREFS

Cf. A096447A096455, A096629, A098044.
Sequence in context: A221027 A211431 A299928 * A258038 A059647 A059310
Adjacent sequences: A096449 A096450 A096451 * A096453 A096454 A096455


KEYWORD

nonn


AUTHOR

Yasutoshi Kohmoto, Aug 12 2004


EXTENSIONS

More terms and better definition from Joshua Zucker, May 21 2006
Terms a(27) onward from Max Alekseyev, Feb 10 2011


STATUS

approved



