Question 142
Let $a \lt b \lt c \lt d \lt e$ be five prime numbers in arithmetic progression with common difference 6 (that is, $b = a + 6$, $c = b + 6$, $d = c + 6$ and $e = d + 6$). Which of the following statements is false?
(A) $a + b + c + d + e$ is a multiple of 5.
(B) $abcde \gt 10^{4}$.
(C) $a + b + c + d + e$ is a multiple of 29.
(D) $abcde$ is a multiple of 29.
(E) The only perfect square dividing $abcde$ is 1.
(A) $a + b + c + d + e$ is a multiple of 5.
(B) $abcde \gt 10^{4}$.
(C) $a + b + c + d + e$ is a multiple of 29.
(D) $abcde$ is a multiple of 29.
(E) The only perfect square dividing $abcde$ is 1.