Twin prime calculator
Twin prime calculator  
View static image  
Pattern type  Miscellaneous  

Number of cells  3062  
Bounding box  440×294  
Discovered by  Dean Hickerson  
Year of discovery  1994  

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 bottomleft corner at about generation 120N+540.^{[1]}^{[2]} It works by attaching a period 240 glider gun to the bottomleft 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.
By having various guns pointed at the output stream of of primer, it is possible to similarly construct various other primegenerating patterns. For example, a prime quadruplet calculator and a cousin prime calculator have both been constructed.^{[3]}
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See also
References
 ↑ Jason Summers' pattern collections. Retrieved on July 28, 2009.
 ↑ twinprimes.rle from Golly's builtin pattern catalogue. Retrieved on July 28, 2009.
 ↑ Nathaniel Johnston. "Prime quadruplet calculator". ConwayLife.com forums. Retrieved on July 29, 2009.