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A074738
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Decimal expansion of d = 1-(1+log(log(2))/log(2) = 0.08607133....
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2
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0, 8, 6, 0, 7, 1, 3, 3, 2, 0, 5, 5, 9, 3, 4, 2, 0, 6, 8, 8, 7, 5, 7, 3, 0, 9, 8, 7, 7, 6, 9, 2, 2, 6, 7, 7, 7, 6, 0, 5, 9, 1, 1, 0, 9, 5, 3, 0, 3, 3, 3, 1, 7, 3, 4, 9, 2, 0, 2, 0, 2, 3, 6, 6, 6, 5, 4, 2, 2, 6, 3, 5, 8, 1, 4, 6, 2, 2, 8, 7, 9, 7, 9, 9, 3, 8, 0, 5, 3, 4, 6, 0, 2, 5, 2, 8, 7, 6, 8, 0, 7, 1, 6, 3
(list; constant; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| An Erdos constant : let s(N) denotes the number of numbers <=N expressible as a product of 2 numbers less than or equal to sqrt(N), Erdos showed that S(N) is asymptotic to N/(log(N))^d
Ford finds that, if H(x,y,z) is the number of integers n <= x which have a divisor in the interval (y,z] and for 3 <= y <= sqrt(x), H(x,y,2y) = x/(((log y)^delta)(log log y)^(3/2)) where delta is the Erdos constant whose decimal digits are A074738. - Jonathan Vos Post (jvospost3(AT)gmail.com), Jul 19 2007
Occurs, citing Ford, in p.2 of Koukoulopoulos. [From Jonathan Vos Post (jvospost3(AT)gmail.com), May 18 2010]
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LINKS
| Kevin Ford, Integers with a divisor in (y,2y]
Dimitris Koukoulopoulos, Divisors of shifted primes, v.3, May 15, 2010. [From Jonathan Vos Post (jvospost3(AT)gmail.com), May 18 2010]
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CROSSREFS
| Sequence in context: A153617 A069855 A156551 * A010115 A197759 A199070
Adjacent sequences: A074735 A074736 A074737 * A074739 A074740 A074741
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KEYWORD
| cons,easy,nonn
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AUTHOR
| Benoit Cloitre (benoit7848c(AT)orange.fr), Sep 05 2002
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