Example: Congruence Calculations
The following example illustrates the use of the { CON } selection from the NUMBER THEORY menu.
Example
Solve for multipliers of 4 that cause congruence with 4 for a modulus of 8. Also, solve for multipliers of 5 that cause congruence with 2 for a modulus of 5.
Procedure 
Press 
Display 



Select the program.  [ RUN ] { MTH } { > } { > } { NUM } { CON } 

Enter a  4 { a }  
Enter b  4 { b }  
Enter m  8 { m }  
Proceed with results  { EOD }  
{ NXT }  
{ NXT }  
{ NXT }  
{ NXT }  
Enter a  5 { a }  
Enter b  2 { b }  
Enter m  5 { m }  
Proceed with results  { EOD } 
4*1, 4*3, 4*5, and 4*7 are all congruent to 4 for a modulus of 8. However, 5 has no multiplier that causes congruence with 2 for a modulus of 5.
☚ Back