Question

True or False: If p1, p2, . . . , pn are prime, then A = p1p2 . . . pn1 + 1 is also prime.

Answer 1

Answer:

The given statement is FALSE.

Step-by-step explanation:

If p1, p2, . . . , pn are prime, then A = p1p2 . . . pn1 + 1 is also prime.

No, this statement is false.

Let's take an example:

We take two prime numbers.

p1 = 3

p2 = 5

Now p1p2+1 becomes :

$(3\times5)+1=16$

And we know that 16 is not a prime number.

Note : A prime number is a number that is only divisible by 1 and itself like 3,5,7,11 etc.