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Let n=640640640643, without actually com...

Let n=640640640643, without actually computing n^2. prove that n^2 leave a remainder 1 when divided by 8

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Knowledge Check

  • The remainder when 5^(4n) is divided by 13, is

    A
    1
    B
    8
    C
    9
    D
    10

  • The remainder when 6^(n) -5n is divided by 25 is

    A
    1
    B
    2
    C
    3
    D
    7

  • The remainder when 6^(n) - 5n is divided by 25, is

    A
    1
    B
    24
    C
    0
    D
    n

    • Similar Questions

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    Using binomial theorem,prove that 6^(n)-5n always leaves he remainder 1when divided by 25.

    If n leaves a remainder 1 when divided by 2, then leaves a remainder of…………….. when divided by 2.

    If a number n is chosen at random from the set {1,2,3,4,….,1000}. Then , the probability that n is a number that leaves remainder 1, when divided by 7, is

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