Question

State true or false for the following statement and justify your answer:

2 × 3 × 5 × 7 + 1 is a composite number

Answer 1

This statement is false.

Explanation:

2 × 3 × 5 × 7 = 210, so 2 × 3 × 5 × 7 + 1 = 211.

No prime ≤ `sqrt(211)` (primes 2, 3, 5, 7, 11, 13) divides 211, so 211 is prime. 

Hence, the statement is false.