412.0.6 Find all integers n for which this statement is true, modulo n.

  • MHB
  • Thread starter karush
  • Start date
  • Tags
    Integers
In summary, "modulo" refers to the remainder when performing division and in this statement, we are looking for integers n that give a remainder of 0 when divided by 412.0.6. To find all possible integers n, we can use the concept of modular arithmetic by starting with 0 and adding multiples of 412.0.6 until we reach a number that gives a remainder of 0 when divided by 412.0.6. The significance of finding all integers n that satisfy this statement is that it can aid in solving mathematical equations and problems involving modular arithmetic, and it has practical applications in fields such as computer science and cryptography. There is no limit to the value of n in this statement as long as it
  • #1
karush
Gold Member
MHB
3,269
5
for the equation $8\cdot8\cdot 8=4$. Find all integers $n$ for which this statement is true, modulo $n$.

ok so
$$8^3-(4)=508$$
508/4=127
508/127=4
then
2^2\cdot 127 = 508

ok I'm sure this is not the proper process
 
Physics news on Phys.org
  • #2

Related to 412.0.6 Find all integers n for which this statement is true, modulo n.

1. What does "modulo" mean in this context?

"Modulo" refers to the remainder when performing division. In this statement, we are looking for integers n that give a remainder of 0 when divided by 412.0.6.

2. How do you find all possible integers n for which this statement is true?

To find all possible integers n, we can use the concept of modular arithmetic. We can start with the number 0 and add multiples of 412.0.6 until we reach a number that gives a remainder of 0 when divided by 412.0.6. These numbers will be the solutions to this statement.

3. What is the significance of finding all integers n for which this statement is true?

Finding all integers n that satisfy this statement can help in solving mathematical equations and problems that involve modular arithmetic. It can also have practical applications in fields such as computer science and cryptography.

4. Is there a limit to the value of n in this statement?

No, there is no limit to the value of n in this statement. As long as n is an integer and gives a remainder of 0 when divided by 412.0.6, it will satisfy the statement.

5. Can n be a negative integer in this statement?

Yes, n can be a negative integer in this statement. As long as it gives a remainder of 0 when divided by 412.0.6, it will satisfy the statement. However, it is more common to use positive integers when working with modular arithmetic.

Back
Top