Question

What is the sum of the least prime number and the greatest negative even number?
A.$10$
B.$0$
C.$1$
D.$2$
E.$3$

Answer 1

Hint: Based on identifying the prime and even number in this statement above, it is a positive number or integer, it should be remembered that one is a non-prime number, and zero is also the sum of the largest negative integer and the smallest positive integer.

Formula used:
According to that, Greatest negative even integer $ + $ least prime positive number
every prime number can be written in the form of $6n + 1$or $6n - 1$
except the multiples of prime numbers, that is $2,3,5,7,11$
Where, $n$is the natural number.

Complete step-by-step answer:
Given by,
Find the sum of prime number
Also, find the greatest negative even integer,
We know that,the greatest negative even integer is $ - 2$
The least of the prime positive integer is $2$
The sum of $ - 2$ and $2$
We require,to apply the above formula,
Let x = Greatest negative even integer + least prime positive number.
substituting the given value,
$\Rightarrow$ $x = \left( { - 2} \right) + \left( 2 \right)$
Therefore, $ - 2$and $2$ get cancelled
We get,$\Rightarrow$ $x = 0$
Hence, the sum of the least prime number and the greatest negative even number is $0$
The option B is the correct answer.

Note: Except for a certain range, it is possible to express any positive integer greater than two as the sum of two primes. A number must be divisible only by one by the number and the number itself that the number two achieves.to find if a number is prime or not, apart from finding its different factors.