Maritza remembers her PIN because it is between 1000 and 1500 and it is the product of two consecutive prime numbers. What is her PIN

Question

Marie remembers her PIN because it is between 1000 and 1500 and it is the product of two consecutive prime numbers. What is her PIN?

 

Answer 1

A simple multiplication table shows how Marie/Maritza can determine her PIN.

Consecutive prime numbers form a 2-row-wide diagonal from upper left to lower right. When a value between 1000 and 1500 appears, those are the factors in her PIN.

Answer 2

√1000=31.6

√1500=38.7

31,32,33,34,35,36,37,38,39

the only consecutive primes are 31 and 37

31*37=1147