Search found 190 matches
- Fri Mar 02, 2012 11:05 pm
- Forum: Number Theory
- Topic: UK MATHEMATICAL OLYMPIAD
- Replies: 2
- Views: 3109
UK MATHEMATICAL OLYMPIAD
Prove that , the equation $ x^2+y^2=z^5+z $ has infinitely many relatively prime integral solutions .
- Fri Mar 02, 2012 11:03 pm
- Forum: Number Theory
- Topic: PROBLEM BY TITU ANDREESCU
- Replies: 2
- Views: 2007
PROBLEM BY TITU ANDREESCU
Prove that , the equation $ x^2=y^3+z^5 $ has infinitely many solutions in positive integers .
- Fri Mar 02, 2012 11:01 pm
- Forum: Number Theory
- Topic: PROVE INFINITY SOLUTIONS
- Replies: 0
- Views: 1352
PROVE INFINITY SOLUTIONS
Prove that , the equation $ x^n+y^n+z^n+u^n=v^{n-1} $ has infinitely many solutions in positive integers .
- Fri Mar 02, 2012 11:00 pm
- Forum: Number Theory
- Topic: PROVE INFINITY SOLUTIONS
- Replies: 0
- Views: 1376
PROVE INFINITY SOLUTIONS
Prove that , the equation $ x^n+y^n=z^{n+1} $ has infinitely many solutions in positive integers .
- Fri Mar 02, 2012 10:57 pm
- Forum: Number Theory
- Topic: NO SOLUTION
- Replies: 5
- Views: 3538
Re: NO SOLUTION
not yz ,it is right side $ y^z $.
- Fri Mar 02, 2012 1:56 am
- Forum: Number Theory
- Topic: FIND ALL INTEGER SOLUTIONS
- Replies: 2
- Views: 2142
FIND ALL INTEGER SOLUTIONS
Find all the integer solutions of the equation $a^8+b^8+c^8+...+z^8=3231 $.
- Fri Mar 02, 2012 1:53 am
- Forum: Number Theory
- Topic: NO SOLUTION
- Replies: 5
- Views: 3538
Re: NO SOLUTION
Plz, show how there exits solution.
- Fri Mar 02, 2012 1:49 am
- Forum: Algebra
- Topic: AN INTERESTING PROBLEM BY SAKAL DA
- Replies: 5
- Views: 4383
Re: AN INTERESTING PROBLEM BY SAKAL DA
Hi,little brother ,plz, give the full solution.
- Thu Mar 01, 2012 1:36 am
- Forum: Number Theory
- Topic: Only 1 solution
- Replies: 0
- Views: 1375
Only 1 solution
Prove that , the equation $ 3^x- 2^y= 7 $ has only one integer solution.
- Thu Mar 01, 2012 1:32 am
- Forum: Number Theory
- Topic: NO SOLUTION
- Replies: 5
- Views: 3538
NO SOLUTION
Show that , the equation $ (x+1)^2+(x+2)^2+...+(x+99)^2 =y^z $ has no integer solution with z>1.