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Solve integer equations, determine remainders of powers, and much more with the power of Modular Arithmetic.

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John and Amy have \(48\) and \(51\) quarters, respectively. If they change them into dollar bills, how many quarters will be left?

Note: There are 4 quarters in a dollar.

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What is the sum of all positive prime numbers \(x\) such that \(x^2+2\) is also a prime?

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