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Search: id:A114412
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| A114412 |
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Records in semiprime gaps ordered by merit. |
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+0
16
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| 2, 3, 4, 6, 11, 19, 24, 28, 30, 32, 38, 47, 54, 70, 74
(list; graph; listen)
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OFFSET
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1,1
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LINKS
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Eric Weisstein's World of Mathematics, Semiprime.
Eric Weisstein's World of Mathematics, Prime Gaps.
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FORMULA
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a(n) = records in A065516/log(A001358(n)) = records in (A001358(n+1) - A001358(n))/log(A001358(n))).
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EXAMPLE
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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
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Cf. A001358, A065516, A111870, A111871, A113688-A113693, A114403-A114411, A114412-A114422.
Sequence in context: A133951 A111124 A117308 this_sequence A016038 A003099 A061941
Adjacent sequences: A114409 A114410 A114411 this_sequence A114413 A114414 A114415
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KEYWORD
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easy,nonn,more
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AUTHOR
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Jonathan Vos Post (jvospost3(AT)gmail.com), Nov 25 2005
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EXTENSIONS
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Corrected and extended by Charles R Greathouse IV, Oct 05 2006
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