What is the plural of "six"?

Number Theory Level 3

I have 6 distinct prime numbers.
The last digit of the product of these 6 numbers is 6.
Can the last digit of the sum of these 6 numbers also be 6?

Yes No

1 solution

Áron Bán-Szabó
Jul 2, 2017

Since the product is even, there has to be an even number between the $6$ numbers. There is only one even prime number, the $2$ . But then from the $6$ primes, $1$ is even and $5$ is odd, but $\text{even}+\text{odd}+\text{odd}+\text{odd}+\text{odd}+\text{odd}=\text{odd}\neq \dots6$ .

So the answer is $\boxed{\text{no}}$ .

What is the plural of "six"?

1 solution

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