Question

If 'P' is the sum of first 2020 prime numbers , then 'P' is always divisible by ________ ?​

Answer 1

Answer:

The sum of the 2019 odd prime numbers is an odd number. When 2 is added to this odd sum, the resulting value of N would be an odd number. Hence, it would not be divisible by an even number. However, it would always be divisible by 1

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Answer 2

If 'P' is the sum of the first 2020 prime numbers, then 'P' is always divisible by 1.

• The first 2020 prime numbers are each a natural number. This implies, their total will also be a natural number. That is, P is a natural number.
• Mathematically, any natural number can either be a prime or a composite number.
• A prime number is a number that has only two factors, that is 1 and the number itself.
• A composite number is a number that has more than two factors, but definitely has 1 and the number itself, as two of its factors.
• So we can conclude that any natural number, maybe prime or composite, definitely has 1 as one of its factors.
• That's why 1 is the correct answer to this question.