Let p be a prime larger than 3. 1. Show that the remainder, when p is divided by 6, is 1 or 5. Note: when a positive integer is divided by n > 1, the possible remainders are 0, 1, 2, ... , n – 1. 2. Show that 12 | p² – -1.

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Q: Date Title Page No. Teacher Sign / Remarks find the smallest prime number dividing the Sum 3+ 5 ¹13

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Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.