# user63477

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bio website location age member for 1 year, 2 months seen Mar 13 at 14:06 profile views 887

"I have had my results for a long time: but I do not yet know how I am to arrive at them."- C.F. Guass

 46 What is the real life use of hyperbola? 25 Pythagorean triplets $x^2+y^2 = z^3$ 16 How can I prove that $xy\leq x^2+y^2$? 13 Simplifying product of differences 8 Polynomials Question: Proving $a=b=c$.

# 6,222 Reputation

 +20 Find the smallest integer $n > 0$ such that $2012$ divides $9^n-1$. +5 Prove that there are infinitely many natural numbers $n$, such that $n(n+1)$ can be expressed as sum of two positive squares in two distinct ways. +20 Pythagorean triplets $x^2+y^2 = z^3$ +10 Prove that $(a-b) \mid (a^n-b^n)$

# 14 Questions

 11 Prove that there are infinitely many natural numbers $n$, such that $n(n+1)$ can be expressed as sum of two positive squares in two distinct ways. 9 Show that there are infinitely many solutions of distinct natural numbers $m,n$ such that $n^3+m^2\mid m^3+n^2$ 8 Proof of Wolstenholme's theorem.? 7 Evaluate $\int _0 ^ \pi \frac{x}{1+\sin^2(x)} dx$ 6 Polynomials Question: Proving $a=b=c$.

# 105 Tags

 91 elementary-number-theory × 83 39 calculus × 41 65 number-theory × 41 38 algebra-precalculus × 28 50 inequality × 25 33 trigonometry × 27 49 homework × 40 33 real-analysis × 10 40 geometry × 35 30 diophantine-equations × 6

# 3 Accounts

 Mathematics 6,222 rep 924 Physics 108 rep 7 Chemistry 101 rep 2