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A096452
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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.
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2
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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
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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LINKS
| A. Granville, G. Martin, Prime number races, Amer. Math. Monthly vol 113, no 1 (2006) p 1.
G. D. Martin, Biases in the Shanks-Renyi prime number race, FoCM'02 Conference, Minneapolis, 5-14 Aug 2002.
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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 [From Robert G. Wilson v (rgwv(AT)rgwv.com), Sep 20 2009]
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CROSSREFS
| Cf. A096447-A096455, A096629, A098044.
Sequence in context: A004082 A039281 A045115 * A059647 A059310 A101324
Adjacent sequences: A096449 A096450 A096451 * A096453 A096454 A096455
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KEYWORD
| nonn
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AUTHOR
| Yasutoshi Kohmoto (zbi74583(AT)boat.zero.ad.jp), Aug 12 2004
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EXTENSIONS
| More terms and better definition from Joshua Zucker (joshua.zucker(AT)stanfordalumni.org), May 21 2006
Terms a(27) onward from Max Alekseyev (maxale(AT)gmail.com), Feb 10 2011
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