# Problem of the Week Problem C Just Sum Primes

A prime number is an integer greater than $$1$$ that has only two positive divisors: $$1$$ and itself. The number $$17$$ is prime because its only positive divisors are $$1$$ and $$17$$.

The variables $$a$$, $$b$$, $$c$$, and $$d$$ represent four different prime numbers. If $$a\times b\times c\times d$$ is equal to a three-digit number with a tens digit of $$1$$ and a ones (units) digit of $$0$$, determine all the possible values of $$a+b+c+d$$.

Theme: Number Sense