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

Chanel Thomas

Chanel Thomas

Answered question

2023-03-08

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 & Explanation

Jaidyn Velez

Jaidyn Velez

Beginner2023-03-09Added 2 answers

If n is one of the prime numbers,
the product of primes is of the order of n 2 , in fact slightly greater.
Currently, integers with squares in the range of 1000 to 1500
{ 32 , 33 , 34 , 35 , 36 , 37 , 38 } of which only 37 is prime.
Prior to and following 37 are the prime numbers 31 and 41.
As 37 × 41 = 1517 and 31 × 37 = 1147
PIN number is 31 and 37.

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