## Related questions with answers

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?

Solution

VerifiedStep 1

1 of 2If 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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