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A135872
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Multiply the positive integers which are coprime to n in order (starting at 1). a(n) is the smallest such partial product that is >= n.
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1
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1, 3, 8, 15, 6, 35, 24, 15, 40, 21, 24, 35, 24, 15, 56, 105, 24, 35, 24, 21, 40, 105, 24, 35, 144, 105, 40, 135, 120, 77, 120, 105, 40, 105, 144, 385, 120, 105, 40, 189, 120, 55, 120, 105, 56, 105, 120, 385, 120, 189, 280, 105, 120, 385, 144, 135, 280, 105, 120
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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EXAMPLE
| The positive integers which are coprime to 9 begin: 1,2,4,5,7,8,10,11,... Checking the partial products: 1=1, 1*2=2, 1*2*4 = 8, 1*2*4*5 =40,... 40 is the smallest such partial product which is >= 9. So a(9) = 40.
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MATHEMATICA
| a = {}; For[n = 1, n < 60, n++, p = 1; i = 1; While[p < n, i++; If[GCD[i, n] == 1, p = p*i]]; AppendTo[a, p]]; a - Stefan Steinerberger (stefan.steinerberger(AT)gmail.com), Feb 06 2008
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CROSSREFS
| Cf. A135873.
Sequence in context: A129067 A168155 A005735 * A045263 A004733 A051210
Adjacent sequences: A135869 A135870 A135871 * A135873 A135874 A135875
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KEYWORD
| nonn
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AUTHOR
| Leroy Quet Dec 03 2007
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EXTENSIONS
| More terms from Stefan Steinerberger (stefan.steinerberger(AT)gmail.com), Feb 06 2008
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