Anurag A

 120 How to prove that all odd powers of two add one are multiples of three 26 Long limit question 25 Conjecture: If $N$ and $N + 10$ are prime, then $N + 20$ is composite. 23 Functions that are continuous only at two points? 18 Show that any set in a metric space can be written as the intersection of open sets

Reputation (26,551)

 +10 Area of triangle formed by three complex numbers $-z,iz$ and $z-iz$ in the complex plane +10 Hilbert Spaces and linear subspaces +23 Let (x+a) be the HCF of $x^2+px+q$ and $x^2+mx+n$. Show that $a=(q-n)/(p-m)$ +10 Solve $99x^2 \equiv 1 \mod 125$

Question (1)

 3 Eigen values of real symmetric matrix to occur in signed pairs

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 326 elementary-number-theory × 82 163 divisibility × 20 249 linear-algebra × 148 120 arithmetic × 2 240 calculus × 84 118 group-theory × 61 191 abstract-algebra × 100 116 real-analysis × 41 188 algebra-precalculus × 74 108 limits × 33

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