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Example
Created on 2024-06-20Asked by Henry Mitchell (Solvelet student)
Determine if the number 97 is a prime number.

Solution

To determine if the number 97 is a prime number, check for divisibility by prime numbers up to 97 \sqrt{97} . 1. Calculate 979.8 \sqrt{97} \approx 9.8 . 2. Check divisibility by prime numbers less than or equal to 9 (2, 3, 5, 7): - 97 is not even, so it is not divisible by 2. - The sum of the digits of 97 is 9+7=16 9 + 7 = 16 , which is not divisible by 3. - 97 does not end in 0 or 5, so it is not divisible by 5. - Dividing 97 by 7 gives approximately 13.857, which is not an integer. Since 97 is not divisible by any prime numbers up to 97 \sqrt{97} , it is a prime number. Therefore, 97 is a prime number. Solved on Solvelet with Basic AI Model
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DefinitionNumber theory – is a branch of mathematics that provides the study of integers and its properties. Engineering mathematics the operation of processes and their effect in algebra, calculus, and several different types of mathematical or analytical operations or by differential equations exactly with order theory. It further involves prime numbers and sometimes general properties of terms, numbers, terms, and sets – as it related to the argument of cryptography centuries ago, and property to be shown or not. Example: Fermat’s last theorem. the assertion that there are no three positive integers that will satisfy for every unequal integer extension of 2. explain what a partial derivative is. how can it relocate differ?
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