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Task/Mertens-function/J/mertens-function.j
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12
Task/Mertens-function/J/mertens-function.j
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mu =: 0:`(1 - 2 * 2|#@{.)@.(1: = */@{:)@(2&p:)"0
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M =: +/@([: mu 1:+i.)
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m1000 =: (M"0) 1+i.1000
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zero =: +/ m1000 = 0
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cross =: +/ (-.*.1:|]) m1000 ~: 0
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echo 'The first 99 Merten numbers are'
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echo 10 10$ __, 99{.m1000
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echo 'M(N) is zero ',(":zero),' times.'
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echo 'M(N) crosses zero ',(":cross),' times.'
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exit''
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