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    • CommentRowNumber1.
    • CommentAuthorTobyBartels
    • CommentTimeJul 1st 2010
    • CommentRowNumber2.
    • CommentAuthorIan_Durham
    • CommentTimeJul 1st 2010

    Prime numbers fascinate me. One of the most interesting observations about prime numbers that I’ve heard came from author Mark Haddon (who probably got it from someone else). A character in one of his books observed something to the effect that prime numbers are what are left over when you remove all the patterns of numbers.

    • CommentRowNumber3.
    • CommentAuthorJohn Baez
    • CommentTimeJul 6th 2010

    Obnoxious rejoinder: what about this pattern: 0,1,2,3,0,1,2,3, \dots?

    On the other hand, the uncomputable real numbers could really be thought of as the numbers left over when you remove all the numbers that are created using some systematic process.

    • CommentRowNumber4.
    • CommentAuthorzskoda
    • CommentTimeJul 6th 2010

    What about periods ? The main conjecture is fascinating, so simple and natural, and nobody has any clue how to prove it.

    • CommentRowNumber5.
    • CommentAuthorIan_Durham
    • CommentTimeJul 6th 2010

    What about periods ? The main conjecture is fascinating, so simple and natural, and nobody has any clue how to prove it.


    Yeah, wow, that's really fascinating. Cool!
    • CommentRowNumber6.
    • CommentAuthorKevin Lin
    • CommentTimeJul 8th 2010
    • (edited Jul 8th 2010)
    Ian, I guess you're referring to the Sieve of Eratosthenes, known since ancient times. Really it's a rather trivial observation, following almost immediately from the definition of prime numbers.
    • CommentRowNumber7.
    • CommentAuthorIan_Durham
    • CommentTimeJul 8th 2010

    Ian, I guess you’re referring to the Sieve of Eratosthenes, known since ancient times.

    No, I assume Mark Haddon was.

    Really it’s a rather trivial observation, following almost immediately from the definition of prime numbers.

    That doesn’t make it uninteresting.