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Search: id:A060797
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| A060797 |
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Integer part of square root of n-th primorial. |
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+0
7
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| 1, 2, 5, 14, 48, 173, 714, 3114, 14936, 80434, 447839, 2724103, 17442771, 114379899, 784149081, 5708691485, 43849291330, 342473913399, 2803269796341, 23620771158594, 201815957246321, 1793779464521955, 16342108667160302
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OFFSET
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1,2
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COMMENT
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Integer part of square root of product of n first primes.
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FORMULA
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a(n)=A000196[A002110(n)]=Floor[Sqrt[A002110(n)]]
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EXAMPLE
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n=8, q(8)=2.3.5.7.11.13.17.19=9699690,a(8)=3114; it is between It is between 128th and 129th divisors of 8th primorial: 3094<A000196(9699690)=3114<3135.
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MATHEMATICA
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a = {}; Do[b = 1; Do[b = b Prime[x], {x, 1, n}]; AppendTo[a, Floor[b^(1/2)]], {n, 1, 100}]; a (*Artur Jasinski*)
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CROSSREFS
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A060755, A000196, A033677.
Cf. A002110, A060797, A127600.
Sequence in context: A129867 A119841 A129778 this_sequence A124381 A131236 A119499
Adjacent sequences: A060794 A060795 A060796 this_sequence A060798 A060799 A060800
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KEYWORD
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nonn
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AUTHOR
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Labos E. (labos(AT)ana.sote.hu), Apr 27 2001
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