Let p be an odd prime such that p | 8a-b & p | 8c-d, where a, b, c, d ϵ Z. Show that p | ad-bc

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Let p be an odd prime such that p | 8a-b & p | 8c-d, where a, b, c, d ϵ Z. Show that p | ad-bc
#numbertheory #modulararithmetic #cipher
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