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

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If the prime numbers are between 1000 and 1500, then we can take the square roots of these numbers to estimate the interval on which we find the prime numbers:

$\sqrt{1000}\approx 31.6$

$\sqrt{1500}\approx 38.7$

So, the numbers are between 32 and 38. The two prime numbers between 32 and 38 are 31 and 37 so the pin number is:

$31\times 37=\color{#c34632}1147$

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