Proving/Disproving: Coprimes & (an + bn + cn ) / abc

  • Context: Graduate 
  • Thread starter Thread starter mahmudarif
  • Start date Start date
Join the discussion
Ask a follow-up here, or get your own question answered by working scientists, mathematicians and engineers — people, not an autocomplete.
Real named experts · corrections over time · the nuance an AI answer skips
Sign up Log in
2 replies · 3K views
mahmudarif
Messages
4
Reaction score
0
if a, b, c (integers) are coprimes then (an + bn + cn ) / abc can't be a number that is not a fraction (integer). Any idea to prove/disprove it will be highly appreciated.
 
on Phys.org
If the sum is divisibleby abc what does that say about the terms
 

Similar threads

Undergrad Are these two vectors coprime?
  • phynewb
  • · Replies 1 ·
  • Linear and Abstract Algebra
Replies
1
Undergrad Understanding Algebraic Numbers & Proving Them
  • swampwiz
  • · Replies 1 ·
  • Linear and Abstract Algebra
Replies
1
Proving or disproving this matrix V is invertible.
  • kaienfr
  • · Replies 1 ·
  • Linear and Abstract Algebra
Replies
1
Graduate What Are Some Examples of Infinite Pairwise Coprime Sets?
  • sutupidmath
  • · Replies 7 ·
  • Linear and Abstract Algebra
Replies
7
Prove that CnXCm isomorphic to Cgcd(m,n)XClcm(m,n)
  • Alex224
  • · Replies 3 ·
  • Linear and Abstract Algebra
Replies
3
Graduate Are There Criteria for Proving Co-Primes of Vectors?
  • phynewb
  • · Replies 5 ·
  • Linear and Abstract Algebra
Replies
5
Prove that the sum of 6 positive integers is a composite number
  • anemone
  • · Replies 1 ·
  • General Math
Replies
1
Graduate Proof that there exists a smallest positive linear combination?
  • Aziza
  • · Replies 1 ·
  • Linear and Abstract Algebra
Replies
1
Graduate New approach to FLT Proof for prime powers of n
  • robert80
  • · Replies 21 ·
  • Linear and Abstract Algebra
Replies
21
Undergrad Relationship among LCM, GCD, and coprimes
  • andresc889
  • · Replies 2 ·
  • Linear and Abstract Algebra
Replies
2