Maths
posted by Sean .
Can someone use mod to prove that 10^(3n + 1) cannot be represented as the sum of two cubes.
And make it very detailed please.

I know your are suffering Sean, so i'll tell u. USE base 7. Cubes mod 7 cant have a residue of 3 or 4. 10 ^ 3n + 1 dose and only has a residue of 10 ^ 3n +1. So there u go sean yu.
Respond to this Question
Similar Questions

A number thoery question
Please help me! Thank you very much. Prove Fermat's Last theorem for n=3 : X^3 + Y^3 = Z^3 where X, Y, Z are rational integers, then X, Y, or Z is 0. Hint: * Show that if X^3 + Y^3 = Epsilon* Z^3, where X, Y, Z are quadratic integers … 
Maths
Prove that a number 10^(3n+1) , where n is a positive integer, cannot be represented as the sum of two cubes of positive integers. thanx 
math
Prove that a number 10^(3n+1) , where n is a positive integer, cannot be represented as the sum of two cubes of positive integers. thanx 
math
can you answer this question in a different and more logical way than this method below: we will examine the sum of cubes of two numbers, A and B. Without losing generality, we will further assume that A=2nX and B=2n+kY where X is … 
maths
can you answer this question: prove that a number 10^(3n+1), where n is a positive integer, cannot be represented as the sum of two cubes of positive integers. with out using this method at all ................................. We … 
math
Which two is true as i'm confused A) 3+7 ß 10 mod 15 17 + 9 ß 4 mod 21 12 + 14 ß 0 mod 26 B) 4+11 ß 2 mod 13 9+7 ß 4 mod 12 13 + 13 ß 1 mod 25 C) 5+9 ß 4 mod 10 16 + 13 ß 3 mod 26 12 + 7 ß 6 mod 14 d)2+7 … 
MATHS
Does there exist a five digit number abcde such that it is equal to the sum of the cubes of its digits a^3+b^3+c^3+d^3+e^3? 
Math (Proof)
Prove that if ab = ac (mod n) and a is relatively prime to n, then b = c (mod n). Proof: a and n are relatively prime and from ab = ac(mod n), we have n(abac), so na(bc). Since (a,n)=1 (relatively prime), we get n(bc). hence … 
Algebra
Which special case is represented by x^2121? 
Algebra 1
Can someone please help me understand this. This is not graded or anything I just want to know how to do this.  Chloe rolls twosided number cubes and adds the numbers showing on the cubes. What is the probability that the sum of …