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find the smallest prime number that is larger than 2000?

Answer 1

It is #2003#. See explanation.

From the odd numbers larger than #2000# : #2001# is divisible by #3# (the sum of digits is #3#), the next odd number : #2003# is a prime number. You can check it by dividing the number by all prime numbers smaller than #sqrt(2003)~~45#.

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Answer 2

Eva Abramson

The smallest prime number larger than 2000 is 2003.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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