- #1

#### 22-16

**[SOLVED] Question 2**

- Let x be the smallest integer greater than 2000 that is the product of seven primes.

- Let y be the largest integer smaller than 2000 that is the product of seven primes.

What is the value of x - y?

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- Thread starter 22-16
- Start date

- #1

- Let x be the smallest integer greater than 2000 that is the product of seven primes.

- Let y be the largest integer smaller than 2000 that is the product of seven primes.

What is the value of x - y?

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- #2

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Not sure if this is correct but here goes:

x = 3^7 = 2,187.

y = 2^6 * 31 = 1,984.

2,187 - 1,984 = 203.

- #3

Originally posted by O Great One

Not sure if this is correct but here goes:

x = 3^7 = 2,187.

y = 2^6 * 31 = 1,984.

2,187 - 1,984 = 203.

Correct.

The value of x-y would be 5, since 10-5 = 5.

Yes, x-y can have a negative value if x is less than y. For example, if x = 5 and y = 10, then x-y would be -5.

To solve for x-y with fractions, first find a common denominator for both fractions. Then, subtract the numerators and keep the common denominator. For example, if x = 1/3 and y = 1/6, the common denominator would be 6. So, x-y would be (1/3)-(1/6) = (2/6)-(1/6) = 1/6.

Yes, x and y can be variables instead of numbers. In this case, the value of x-y would also be a variable, unless specific values are assigned to x and y.

The order of x and y in x-y does not affect the value. For example, if x = 10 and y = 5, then x-y = 10-5 = 5. If x = 5 and y = 10, then x-y = 5-10 = -5. The difference between the values would still be the same, regardless of the order.

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