I have searched on the internet whether a prime number can be positive and negative, but I got the mixed results. Can (-5) be a prime number?

It indeed does seem to show mixed results in the internet. Not sure whether the academia defines negative numbers as primes.

But generally, I do not think ETS will ask a question where primes are negative. As far as I know, ETS only considers positive numbers as prime integers.

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Nice question

i think they are not because prime no. is divisible only by itself and 1.

-5 is divisible by -1,5,1,-5.

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