Monday

April 21, 2014

April 21, 2014

Posted by **Drake** on Friday, June 28, 2013 at 9:55am.

- Math (Algebra) -
**Count Iblis**, Friday, June 28, 2013 at 11:50amN^3−6 is zero Modulo (N-6). If we compute Modulo (N-6) then obviously:

N-6 = 0 ----->

N = 6

Here and in the following the equals sign means equality modulo N - 6.

We then have:

N^3 -6 = 6^3 - 6 = 210

Therefore:

210 = 0

Reverting back to the ordinary definition of the equals sign, this means that:

210 = k (N-6)

So, N-6 must be the largest possible factor of 210, which is 210 therefore

N = 216.

**Related Questions**

algebra - Find the largest possible integer n such that there exists a non-...

math - For every positive integer n, consider all monic polynomials f(x) with ...

Math (algebra) - For every positive integer n, consider all monic polynomials f(...

Math - Find the largest possible degree n≤1000 of a polynomial p(x) such ...

Maths - Find the largest integer S which is a divisor of n^5−17n^3+16n for...

math alggggggggggggebra - Find the largest possible integer n such that there ...

math - Find the sum of all integers m that are less than 1000 and equal to n!+1...

MATHS - Find the largest possible integer n such that there exists a non-...

Algebra - A.Write and solve an equation to find three consecutive integers with ...

Algebra - A.Write and solve an equation to find three consecutive integers with ...