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Search: id:A096452
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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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+0
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
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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a(27) is larger than 382000000 and smaller than 608981813029 [Martin]. - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Aug 05 2007
Next term exceeds 29431850113. p=638228991 & q=638217955. [From Robert G. Wilson v (rgwv(AT)rgwv.com), Sep 20 2009]
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LINKS
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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
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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
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Cf. A096447-A096455.
Sequence in context: A004082 A039281 A045115 this_sequence A059647 A059310 A101324
Adjacent sequences: A096449 A096450 A096451 this_sequence A096453 A096454 A096455
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KEYWORD
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nonn,easy,more
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AUTHOR
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Yasutoshi Kohmoto (zbi74583(AT)boat.zero.ad.jp), Aug 12 2004
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EXTENSIONS
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More terms and better definition from Joshua Zucker (joshua.zucker(AT)stanfordalumni.org), May 21 2006
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