Question

Prove or Disprove: If p/ai for some i belong to {1; 2,..., n}, (n > 1), and
p/sigma from k=1to n of (ak),
then p/aj for some j not equal i.

Answer 1

try \(\{a_n\}=(2,3,3)\) and \(p=2\)

Answer 2

but should not be the elements differ from each other?

Answer 3

that is not specified in the problem


if you want different numbers use (2,3,5)

Answer 4

SO 2∣2 and 2∣10 which is the sum but 2 does not divide either 3 or 5
so the statement is not true right?