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

Question

Maritza remembers her PIN because it is the product of two consecutive prime numbers that is between 1000 and 1500. What is her PIN? I'm trying to help my son with his home work

Answer 1

Here are some pairs of consecutive prime numbers and their products:

 

 A       B      A*B

23     29      667
29     31      899
31     37    1147
37     41    1517
41     43    1763

 

As you noted, the only consecutive prime pairs that produce a product between 1000 and 1500 are 31 and 37 (PIN = 1147).