File:Brun's constant.svg
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| Description |
English: The red line is the approximation to the Brun's constant through the partial sums (using the twin primes less than 100 000). The blue line is the value 1,902160583104 found by Pascal Sebah and Patrick Demichel computing the partial sum using the twin primes less than 10^16 |
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Plotted in Maple and converted to SVG format in Inkscape, using the following Maple code: > with(plots); > tw := proc (n) if isprime(ithprime(n)+2) then evalf(1/ithprime(n)+1/(ithprime(n)+2)) else 0 end if end proc; > a := vector(100000, proc (i) options operator, arrow; [i, 1.902160583104] end proc); > b := vector(9592); b[1] := [1, tw(1)]; > f := proc (M) local i; for i to 9591 do M[i+1] := [][i][2]+tw(i+1)] end do end proc; > f(b); > display(plot(b, color = red, thickness = 3), plot(a, color = blue, thickness = 2), view = [1 .. 100000, 1 .. 2]); |
| Author | Sandrobt |
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
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| current | 20:36, 2 September 2010 | | 694 × 446 (58 KB) | Sandrobt (talk | contribs) | {{Information |Description={{en|1=The red line is the approximation to the Brun's constant through the partial sums (using the twin primes less than 100 000). The blue line is the value 1,902160583104 found by Pascal Sebah and Patrick Demichel computing t |
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