Question

if the sum of (2n+1) prime numbers where n€ N is an even number ,then ine of tge prime numbers must be​

Answer 1

Answer:

2

Explanation:

2n is even.

2n+1 is odd number .

So there are odd number of primes in the sum.

two odd numbers add to form even number.

4 odd numbers add up to form even number.

in general 2n odd numbers add up to form even number.

and obviously 2n even numbers will add up to form an even number.

so in any case,

the last

${(2n + 1)}^{th}$

number has to be even to make the final sum even. and the only even prime is 2.