File:Digits in largest prime by year 2014.png

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English: Plot of the number of digits in largest known prime by year, since the electronic computer. Note that the vertical scale is logarithmic. The red line is the exponential curve of best fit: .
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Mathematica source code: 

primeData = {{1952, 157}, {1952, 687}, {1957, 969}, {1961, 1281}, {1961, 1332}, {1963, 2917}, {1963, 3376}, {1971, 6002}, {1978, 6533}, {1979, 6987}, {1979, 13395}, {1982, 25962}, {1983, 39751}, {1985, 65050}, {1989, 65087}, {1992, 227832}, {1994, 258716}, {1996, 378632}, {1996, 420921}, {1997, 895932}, {1998, 909526}, {1999, 2098960}, {2001, 4053946}, {2003, 6320430}, {2004, 7235733}, {2005, 7816230}, {2005, 9152052}, {2006, 9808358}, {2008, 12978189}, {2013, 17425170}, {2016, 22338618}};
fitEq = Exp[a x + b] /. FindFit[{#1, Log[#2]} & @@@ primeData, a x + b, {a, b}, x];
primes = ListLogPlot[primeData, PlotRange -> {{1950, 2017}, {90, Automatic}}, Joined -> True, Frame -> True, FrameStyle -> GrayLevel[.3], 
   GridLines -> {Range[1960, 2010, 10], 10^Range[3, 7]}, GridLinesStyle -> Directive[Gray, Dashed, Opacity[.25]], ImageSize -> 1000, 
   FrameTicksStyle -> Directive[FontFamily -> "Times", FontSize -> 22], Mesh -> All, MeshStyle -> Directive[ColorData[1][1], PointSize[Medium]]];
bestfit = LogPlot[fitEq, {x, 1950, 2017}, PlotStyle -> Directive[Red, Dashed, AbsoluteDashing[5], Opacity[.5]]];
res = Show[primes, bestfit]
Author Chiph588
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Date/TimeThumbnailDimensionsUserComment
current16:15, 21 January 2016Thumbnail for version as of 16:15, 21 January 20162,509 × 1,543 (116 KB)Chiph588 (talk | contribs)Adds the new prime found in 2016.
22:05, 5 February 2014Thumbnail for version as of 22:05, 5 February 20141,000 × 613 (32 KB)Chiph588 (talk | contribs)Added plot points.
18:55, 21 January 2014Thumbnail for version as of 18:55, 21 January 20141,000 × 613 (32 KB)Chiph588 (talk | contribs)even larger frame ticks
18:51, 21 January 2014Thumbnail for version as of 18:51, 21 January 20141,000 × 609 (29 KB)Chiph588 (talk | contribs)even larger frame ticks
18:49, 21 January 2014Thumbnail for version as of 18:49, 21 January 20141,000 × 614 (28 KB)Chiph588 (talk | contribs)larger frame ticks
18:10, 21 January 2014Thumbnail for version as of 18:10, 21 January 20141,000 × 615 (25 KB)Chiph588 (talk | contribs)User created page with UploadWizard

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