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A114412
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Records in semiprime gaps ordered by merit.
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16
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2, 3, 4, 6, 11, 19, 24, 28, 30, 32, 38, 47, 54, 70, 74, 107, 110, 112, 120, 126, 146
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| There is an associated index list n=1, 2, 4, 6, 34, 422, 1765, 4585, 8112, 8650, 8861, 75150,... and an associated semiprime list A001358(n)=4, 6, 10, 15, 1418, 6559, 17965, 32777, 35103, 35981, 340894,.. [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Mar 15 2009]
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LINKS
| Eric Weisstein's World of Mathematics, Semiprime.
Eric Weisstein's World of Mathematics, Prime Gaps.
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FORMULA
| a(n) = records in A065516/log(A001358(n)) = records in (A001358(n+1) - A001358(n))/log(A001358(n))).
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EXAMPLE
| Records defined in terms of A001358 and A065516
n A065516(n) A065516(n)/log(A001358(n)).
1 2 2/log 4 = 3.32192809
2 3 3/log 6 = 3.85529163
3 1 1/log 9 = 1.04795164
4 4 4/log 10 = 4.0000000
5 1 1/log 14 = 0.87250287
6 6 6/log 15 = 5.10164492
7 1 1/log 21 = 0.756304196
8 3 3/log 22 = 2.23476558
9 1 1/log 25 = 0.715338279
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CROSSREFS
| Cf. A001358, A065516, A111870, A111871, A113688-A113693, A114403-A114411, A114412-A114422.
Sequence in context: A166081 A111124 A117308 * A016038 A003099 A061941
Adjacent sequences: A114409 A114410 A114411 * A114413 A114414 A114415
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KEYWORD
| nonn,more
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AUTHOR
| Jonathan Vos Post (jvospost3(AT)gmail.com), Nov 25 2005
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EXTENSIONS
| Corrected and extended by Charles R Greathouse IV, Oct 05 2006
a(16)-a(21) from Donovan Johnson (donovan.johnson(AT)yahoo.com), Feb 17 2010
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