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Thread: The connection between prime numbers and angles/geometry

  1. #1 The connection between prime numbers and angles/geometry 
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    Hello

    Could any body tell me the connection between angles/geometry and prime numbers. is there a connection between them?


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    Forum Senior TheObserver's Avatar
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    There is a connection between a certain kind of prime called a fermat prime and the constructability of angles with a traditional straight edge and compass


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  4. #3  
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    thanks for the answer
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    Quote Originally Posted by TheObserver View Post
    There is a connection between a certain kind of prime called a fermat prime and the constructability of angles with a traditional straight edge and compass
    do tell please?
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    Not sure if this will help or confuse you.
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    Forum Senior TheObserver's Avatar
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    Quote Originally Posted by ballyhoo View Post
    Quote Originally Posted by TheObserver View Post
    There is a connection between a certain kind of prime called a fermat prime and the constructability of angles with a traditional straight edge and compass
    do tell please?
    Well I will confess it was quite some time since my Euclidean geometry classes so I had to look it up. But taken from the wiki page on straight edge and compass constructions,

    "The only angles of finite order that may be constructed starting with two points are those whose order is either a power of two, or a product of a power of two and a set of distinct Fermat primes."

    It was a theorem of Gauss I believe.
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