Graph of Mertens function for values of n from 1 to 10,000. Note the remarkably chaotic, unpredictable movement of this function.

Created by User:Linas, Linas Vepstas, 2 July 2006

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Created with gnuplot, with the following markup:

set term svg
set out 'mertens.svg'

set data style lines
unset zeroaxis
set xtics border
set ytics border

set bmargin 5
set lmargin 7

set title "Mertens function"
set xlabel "n" 1,0
set ylabel "M(n)" 1, 0
plot "mertens.dat" using 1:2 title "" with lines linewidth 2

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