Twin prime calculator

The twin prime calculator is a pattern that was constructed by Dean Hickerson on September 9, 1994 that produces a stream of lightweight spaceships representing twin prime numbers (except for the pair (3, 5)). In particular, N and N+2 are both prime if and only if a lightweight spaceship escapes past the gun at the bottom-left corner at about generation 120N+540.[1][2] It works by attaching a period 240 glider gun to the bottom-left corner of Hickerson's original prime number calculator, primer, which allows a lightweight spaceship to pass by it if and only if another lightweight spaceship tried to pass by 240 generations earlier.

Twin prime calculator
<html><div class="rle"><div class="codebox"><div style="display:none;"><code></html>x = 440, y = 294, rule = B3/S23 412b2o$410b2ob2o13b2o$410b4o13b4o$411b2o14b2ob2o$93b3o11b3o319b2o$93bo 2bo10bo2bo$93bo6b3o4bo16b3o11b3o$93bo5bo2bo4bo15bo2bo10bo2bo$94bo4b2ob o5bo17bo4b3o6bo285b2o$126bo4bo2bo5bo284bo2bo$125bo5bob2o4bo285bo2b2o$ 424bo2b2o$99bo8bo315b4o$99bobo5b3o278bo7bo$107bob2o14bo8bo254bo7b2o$ 100bo2bo4b3o13b3o5bobo249bo4bo6b2o30b2o$101b3o4b2o13b2obo258b5o29b4o4b 4o$102bo20b3o4bo2bo280bo3bo3bo4b2ob2o$124b2o4b3o282bo6bo6b2o$131bo279b o3bo5bo$412b4o$91b3o313b3o$90bo2bo311b2ob2o26b2o$93bo46b3o264b3o17b4o 4b4o$93bo46bo2bo268b4o10bo3bo4b2ob2o$92bo47bo270bo3bo14bo6b2o$106b3o3b 3o25bo274bo13bo$105bo2bo3bo2bo25bo272bo18bo$108bo3bo6b3o3b3o253bo49bo$ 96b3o9bo3bo5bo2bo3bo2bo253b2o47bo2b2o$98bo8bo5bo7bo3bo255b2o47bo5bo$ 97bo12bo10bo3bo9b3o293bobo2b2o$110bo9bo5bo8bo295bo3b2o$109bobo11bo12bo 296b3o$101b3o19bo$76bo13bo12bo18bobo$75b3o11b3o10bo27b3o303b2o$75bob2o 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THUMBLAUNCH ]] <nowiki></nowiki> <html></code></div></div><canvas width="200" height="300" style="margin-left:1px;"><noscript></html> <html></noscript></canvas></div></html>
View static image
Pattern type Miscellaneous
Number of cells 3062
Bounding box 440×294
Discovered by Dean Hickerson
Year of discovery 1994

By having various guns pointed at the output stream of of primer, it is possible to similarly construct various other prime-generating patterns. For example, a prime quadruplet calculator and a cousin prime calculator have both been constructed.[3]

Videos
<iframe src='//www.youtube.com/embed/iNB-FLOJWn0?' width='300' height='169' frameborder='0' allowfullscreen='true'></iframe>
The twin prime calculator outputting four lightweight spaceships that represent the four twin prime pairs (5,7), (11,13), (17,19), and (29,31)
gollark: ++search new thing (not whatsoever Jesus in any way)
gollark: ddg! New thing (not Jesus)
gollark: Aaaaaaaaaæ.
gollark: ddg! New thing
gollark: Really? Interesting.

See also

References
  1. Jason Summers' pattern collections. Retrieved on July 28, 2009.
  2. twinprimes.rle from Golly's built-in pattern catalogue. Retrieved on July 28, 2009.
  3. Nathaniel Johnston. "Prime quadruplet calculator". ConwayLife.com forums. Retrieved on July 29, 2009.
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