# pedja

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bio website google.com location age member for 3 years, 3 months seen Nov 8 '12 at 11:42 profile views 1,225

I like good quotes,so here is the one of my favorites:

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 32 Coffee Break Riddle 13 Solving the exponential equation: $3 \cdot 2^{2x+2} - 35 \cdot 6^x + 2 \cdot 9^{x+1} = 0$ 11 Let $a,b,c >0$ Prove the inequality $\displaystyle{\frac{a}{a+1}+\frac{b}{b+1}+\frac{c}{c+1}+\frac{1}{a+b+c+1} \geq 1}$ 10 How do I solve this analytically $3^x=9x$ 9 prove for all $n\geq 0$ that $3 \mid n^3+6n^2+11n+6$

# 7,337 Reputation

 +20 Solving the exponential equation: $3 \cdot 2^{2x+2} - 35 \cdot 6^x + 2 \cdot 9^{x+1} = 0$ +5 Are there infinitely many primes of the form $k\cdot 2^n +1$? +5 Is $f_n=\frac{(x+1)^n-(x^n+1)}{x}$ irreducible over $\mathbf{Z}$ for arbitrary $n$? +10 Coffee Break Riddle

# 101 Questions

 19 Infinitely many primes of the form $\lfloor \sqrt {3} \cdot n \rfloor$? 16 Are polynomials of the form : $f_n= x^n+x^{n-1}+\cdots+x^{k+1}+ax^k+ax^{k-1}+\cdots+a$ irreducible over $\mathbb{Z}$? 14 Is $f_n=\frac{(x+1)^n-(x^n+1)}{x}$ irreducible over $\mathbf{Z}$ for arbitrary $n$? 13 Approximation of $e$ using $\pi$ and $\phi$? 11 Lower bound for $\phi(n)$: Is $n/5 < \phi (n) < n$ for all $n > 1$?

# 115 Tags

 67 algebra-precalculus × 47 33 limits × 16 56 calculus × 52 33 puzzle × 8 55 geometry × 51 31 differential-equations × 22 39 elementary-number-theory × 83 26 number-theory × 27 37 recreational-mathematics × 9 25 discrete-mathematics × 9

# 9 Accounts

 Mathematics 7,337 rep 1038 Stack Overflow 204 rep 29 Code Review 155 rep 5 Area 51 151 rep Skeptics 146 rep 14