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5. (a) (i) Given that 222292(13)2mod35=16929mod35,(6)2mod35=361mod35, determine ord35(22) without further calculation. (How does the given information tell you that ord35(22)=3 ?) (ii) Find the remainder

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5. (a) (i) Given that 222292(13)2mod35=16929mod35,(6)2mod35=361mod35, determine ord35(22) without further calculation. (How does the given information tell you that ord35(22)=3 ?) (ii) Find the remainder on dividing 22123456789 by 35 . Show your working. (b) Find the remainder on dividing 5101010101 by 37 . Show your working

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