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?

Answer 1

30 x 30 = 900 too low
40 x 40 =1600 too high - so the answer lies somewhere between

30 x 31 (too low) 39 x 40 = too high

31 and 37 are the only primes between those numbers and that is her pin 3137

Answer 2

1147

Explanation:

Given that Maritza emembers her PIN because it is the product of two consecutive prime numbers that is between 1000 and 1500.

We know that prime numbers are 2,3,5,7...

But one digit numbers consecutive will give very low product.

Hence we can say that two digit numbers to be taken

`23(29) = 667` is very low

Hence let us start taking numbers greater than 30

31 and 37 are consecutive primenumbers

`31(37) =1147`

Let us try next as 37 and 43

`37(43) =1591>1500`

Hence only possibility is her pin is 1147