Project 6, 2015  Research Experience for Teachers  Project 4, 2016 

Z*n 
Select a number from the menu, call it n. The set of all numbers that are prime relative to n appears in a row that is labeled Z*n. Click on a button in the Z*n row. Call the number displayed on that button m. The number m will be multiplied by all numbers in the set Z*n, modulo n. The results appear directly below each element of Z*n in the row labeled res:. For example, if n is 19 and 9 is clicked, 9*9 mod 19 is 5 which is directly below the 9; if 5 is clicked, 5*14 mod 19 is 13 which appears below the 14 in the Z*n row. 
Observe:

Below:
Select a number from the menu, call it n. The set of all numbers that are prime relative to n appears in a row that is labeled Z*n. Select one of the numbers, call it a. Compute a^{n1} by clicking on the Multiply button until the count n1 is reached. The answer in the result field should be 1. 
Observe:

Below:
Select a number from the menu, call it n. The set of all numbers that are prime relative to n appears in a row that is labeled Z*n. Compute the product of all numbers in Z*n by clicking the Multiply button repeatedly until no more changes take place. 
Observe:
