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  1. #1
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    mod

    hi
    are the following 2 things the same?

    1 mod 10
    1 (mod 10)

    because i thought 1 mod 10 would equal 1
    but going through some euler theorem examples, there are answers such that a large number can equal 1 (mod n), n being any number.
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  2. #2
    Forum Admin topsquark's Avatar
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    Quote Originally Posted by chrisc View Post
    hi
    are the following 2 things the same?

    1 mod 10
    1 (mod 10)

    because i thought 1 mod 10 would equal 1
    but going through some euler theorem examples, there are answers such that a large number can equal 1 (mod n), n being any number.
    x = 1 \text{ (mod 10)}
    means that we have a number x, such that when it is divided by 10 it leaves a remainder of 1. 11, 21, 31, etc. are numbers of this type.

    So whereas 1 \equiv 1 \text{ mod 10} so does 11. So there is a distinct difference between saying "1" and "1 (mod 10)." As far as the (mod 10) vs. mod 10, as far as I know there is no difference.

    -Dan
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  3. #3
    GAMMA Mathematics
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    1 mod(10) can equal 1, but also any number that when divided by a multiple of 10 gives a remainder of 1 such as 11, 21, 31, 41, 51, 61, 71, ....

    Basically 1 mod(10) = 1 + 10n
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