### Answers (98)

 20 A quick way, say in a minute, to deduce whether $1037$ is a prime number 13 Is the blue area greater than the red area? 11 Conjectures that have been disproved with extremely large counterexamples? 8 Proving $\left(1-\cos^2x\right)\left(1+\tan^2x\right)=\tan^2x$ 8 If $1^2+2^2+3^2 + …+ 10^2=385$ , then value of $2^2+4^2+6^2 + … + 20^2$

### Reputation (3,359)

 +20 Conjectures that have been disproved with extremely large counterexamples? +15 Are there any other methods to apply to solving simultaneous equations? -2 For every $b$ in the power $a^{b}$, does there exist an $a$ such that the digit sum of this power is equal to $a$? -2 Is $\zeta(s)\sim\sqrt{\frac{\zeta(4s)}{\zeta(2s)}}\prod\limits_{n=1}^\infty\big(1-\frac{2}{p_n^s+p_n^{-s}}\big)^{-1/2}$?

### Questions (95)

 120 Is the blue area greater than the red area? 31 Are there any other methods to apply to solving simultaneous equations? 19 Is the aim of this Tic-Tac-Toe puzzle possible to achieve? 11 On the conjecture that, for every $n$, $\lfloor e^{\frac{p_{n^2}\#}{p_{n^2 + 1}}}\rfloor$ is a square number. 11 Are $(2,28)$ and $(5,3207)$ the only solutions $(m,n)\in\mathbb{N}^2$?

### Tags (118)

 40 algebra-precalculus × 24 19 inequality × 7 36 elementary-number-theory × 17 17 conjectures × 33 27 number-theory × 42 16 prime-numbers × 39 20 proof-writing × 25 15 geometry × 8 20 primality-test 15 notation × 7

### Accounts (25)

 Mathematics 3,359 rep 31446 Puzzling 2,533 rep 11169 Science Fiction & Fantasy 418 rep 315 Japanese Language 197 rep 113 Area 51 161 rep 5

### Badges (43)

 Nice Answer × 3 Altruist Good Question × 2 Investor Notable Question × 3 Talkative Popular Question × 3 Necromancer × 2 Nice Question × 9 Yearling

### Active bounties (0)

This user has no active bounties

### Votes cast (6,888)

all time   by type   month
6,881 up 2,415 question 169
7 down 4,473 answer