Several odd numbers have the property that their value squared $+2$ is prime and their value squared $2$ is prime. For instance, $3^2+2=11$ and $3^22=7,$ both of which are prime, so $3$ is such a number. Write a program to find and output all such odd numbers between $3$ and $1001$ with this property. The first five numbers are $3,9,15,21,33.$ There are $16$ additional numbers between $3$ and $1001.$ Your output should be a list of all numbers with this property. Declare any needed variables in C and then enter assembly code to initialize any variables, iterate from $3$ to $1001$ and for each number, say i$,$ compute i$^2+2$ and i$^22$ and determine if both are

prime. To compute if a number is prime, iterate from $2$ up to but not including i$^2+2/$i$^2-2$ to see if any such value divides into i$^2+2/$i$^2-2.$ If no divisor is found for either, then leave assembly code to output i$.$ Next, increment i by $2$ and repeat until i $>1001.$ To determine if a number divides into another number, put the numerator in the eax, set the edx to $0$ and div by the denominator. If the edx is $0$ then there is no remainder and so the denominator divides into the numerator and the

numerator is not prime. For simplicity, use the range $2..$numerator$-1$ as your divisor rather than trying to be more efficient. Remember that the only code that should appear in C are your variable declarations and your printf. Once your assembly program is working correctly, copy your output to the bottom of the $.$c file in comments and submit the one file.