## Question

###### A. let m be an even natural number. prove that 7|(10^3m -1).b. let a and b be natural number that leave a remainder of 4when divided by 9 so that 9|(a-b).

a. let m be an even natural number. prove that 7|(10^3m - 1). b. let a and b be natural number that leave a remainder of 4 when divided by 9 so that 9|(a-b).

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