Topic Details (Notes format)

How to Do Prime Checking

Subject: Mathematics

Book: Maths Mastery

Determining whether a number is prime involves checking divisibility only up to its square root. For example, to test if 29 is prime, verify divisibility by primes less than √29 (~5.4), i.e., 2, 3, 5. Since none evenly divide 29, it is prime. Efficient prime checking algorithms play a significant role in encryption (RSA), random number generation, and coding challenges. Having a solid routine for prime checks sharpens your sense of number theory and fosters computational thinking—even if you rely on advanced methods for very large numbers.

Practice Questions

If 5x - 2 = 13, what is the value of x?

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If sin(A) = 1/2 and A is acute, what is the value of A?

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The sides of a triangle are 7, 24, and 25. Is this a right triangle?

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If the angles of a triangle are in the ratio 2:3:4, what is the measure of the largest angle?

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What is the cube root of 729?

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A cube has a side length of 4 cm. What is its volume?

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What is the slope of a line passing through the points (2, 3) and (4, 7)?

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A number is increased by 20% and then decreased by 20%. What is the net change?

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If the radius of a circle is doubled, what happens to its area?

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The area of an equilateral triangle with side length 6 cm is:

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