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# 276 Questions

 7 Prime numbers of the form $(3^n-1)/2$ 7 3 never divides $n^2+1$ 6 What is a simple way of computing the following fraction? 5 How many Sylow $3$-subgroups can a group of order $72$ have? 5 If $xH=yH$, then $xy^{-1} \in H$.

# 377 Reputation

 +20 Prove that n divides $\phi(a^n-1)$, where $\phi$ is Euler's $\phi$-function. -2 Show that $X_{(1)} \xrightarrow{P} 0$, where $X_{(1)}$ is the minimum of the random sample. -2 Find tight frames of density a) $d=4$, b) $d=9$, c) $d=16$ of $L^2(B)$, where $B$ is the unit circle of $\mathbb{R}^2$. +5 Suppose that $G$ is a group of order $30$ and has a Sylow $5$-subgroup that is not normal.

 2 Help with a nonhomogeneous function for a boundary value problem 1 Evaluate the DFT of the vectors $(1,1,0,0)$ and $(1,1,1,0,0)$ 1 Given the frame $B=\{(1,1,0),(0,1,1),(1,1,1),(0,0,1),(0,1,-1)\}$, find (if possible) a (i) $(2,1)$ surgery, 1 Find the flux of the vector field across the boundary of the cube 1 Finding integer solutions for $6x+15y+20z=1$

# 63 Tags

 3 calculus × 26 0 group-theory × 46 1 linear-algebra × 49 0 functional-analysis × 26 1 number-theory × 48 0 abstract-algebra × 24 1 fourier-analysis × 34 0 real-analysis × 23 1 vector-analysis × 2 0 elementary-number-theory × 19

# 3 Accounts

 Mathematics 377 rep 320 Stack Overflow 101 rep Physics 97 rep 1