To find if the number 2 • 3 • 5 • 7 + 11 • 13 is prime, a student finds that the number eq...

To find if the number 2 • 3 • 5 • 7 + 11 • 13 is prime, a student finds that the number equals 353. She checks that 17353 and 192 > 353 and without further checking, claims that 353 is prime. Explain why the student is correct.