Answer: The greatest prime number to consider when testing whether 973 is prime is 31.
Explanation:
To test whether 973 is prime, we need to consider the greatest prime number that is less than or equal to the square root of 973.
1. Start by finding the square root of 973. The square root of 973 is approximately 31.176.
2. We need to consider prime numbers less than or equal to 31. Since 31 is the largest prime number less than the square root of 973, it is the greatest prime number we must consider to test whether 973 is prime.
Therefore, the greatest prime number to consider when testing whether 973 is prime is 31.
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