(a) Let n be a positive integer. Prove that two numbers n2 + 3n +6 and...

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(a) Let n be a positive integer. Prove that two numbers n2 + 3n +6 and n2 + 2n + 7 cannot be prime at the same time. |(b) Find 15261527863698656776712345678%5 without using a calculator. (c) Let a be an integer number. Suppose a%2 = 1. Find all possible values of (4a + 1)%6. (a) Let n be a positive integer. Prove that two numbers n2 + 3n +6 and n2 + 2n + 7 cannot be prime at the same time. |(b) Find 15261527863698656776712345678%5 without using a calculator. (c) Let a be an integer number. Suppose a%2 = 1. Find all possible values of (4a + 1)%6.