  # Mat126 Survey of Mathematics - Prime Numbers

by Angel

Project # 2

Task: To produce prime numbers as solutions by substituting x in the formula
x2 – x + 41

Please note you MUST show your work (plugging the number into the formula and simplifying).

Here is an example of showing your work. Let’s say I start with 3 as one of my odd numbers of choice. I need to plug 3 into the formula like this:

32 – 3 + 41

= 9 – 3 + 41

= 6 + 41

= 47

Is 47 prime? Yes! In this case, the formula produced a prime number!

Please perform the above steps for all five of your numbers (0, two even numbers of your choice, and two odd numbers of your choice).

*** Note: this is NOT an equation. Instead, it is a FORMULA. Please do NOT set the formula equal to 0 and try to factor, because this is not correct. J

Step 1: First even number of your choice: plug in number into formula and simplify:

Step 2: Second even number of your choice: plug in number into formula and simplify:

Step 3: First odd number of your choice: plug in number into formula and simplify:

Step 4: Second odd number of your choice: plug in number into formula and simplify:

Step 5: Plug in 0 into formula and simplify: