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A092816
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Number of Sophie Germain primes less than 10^n.
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8
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3, 10, 37, 190, 1171, 7746, 56032, 423140, 3308859, 26569515, 218116524, 1822848478, 15462601989, 132822315652
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OFFSET
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1,1
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COMMENTS
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Hardy-Littlewood conjecture: Number of Sophie Germain primes less than n ~ 2*C2*n/(log(n))^2, where C2 = 0.6601618158... is the twin prime constant (see A005597). The truth of the above conjecture would imply that there are an infinite number of Sophie Germain primes (which is also conjectured). - Robert G. Wilson v, Jan 31 2013
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REFERENCES
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P. Ribenboim, The Little Book of Big Primes, Springer-Verlag, New York, 1991, p. 228.
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LINKS
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Table of n, a(n) for n=1..14.
C. K. Caldwell, An amazing prime heuristic, Table 6.
Eric Weisstein's World of Mathematics, Sophie Germain Prime
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CROSSREFS
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Cf. A005384, A156874, A182265.
Sequence in context: A250307 A289990 A123636 * A078109 A149045 A149046
Adjacent sequences: A092813 A092814 A092815 * A092817 A092818 A092819
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KEYWORD
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nonn
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AUTHOR
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Eric W. Weisstein, Mar 06 2004
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EXTENSIONS
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a(10) computed by Eric W. Weisstein, Nov 02 2005
a(11)-a(12) from Donovan Johnson, Jun 19 2010
a(13)-a(14) from Giovanni Resta, Sep 04 2017
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STATUS
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approved
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