What is the value of x - y? Question 2

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SUMMARY

The value of x - y is definitively calculated as 203, where x is identified as 2,187, the smallest integer greater than 2000 that is the product of seven primes, specifically 3 raised to the power of 7. Conversely, y is determined to be 1,984, the largest integer smaller than 2000 that is the product of seven primes, calculated as 2 raised to the power of 6 multiplied by 31. This conclusion is confirmed by multiple participants in the discussion.

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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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Here's a try.

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.
 


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.
 

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