John Ryan

### Questions (57)

 12 What is the value of $142,857 \times 7^2$? 11 Find all primes $p$ such that $p^3-4p+9$ is a perfect square. 8 How many rectangles are there on an $8 \times 8$ checkerboard? 5 How to factor numbers that are the product of two primes 5 Find $\int_{0}^{\frac{\pi}{2}} \dfrac{\sin^n(x)}{\sin^n(x)+\cos^n(x)} dx$. [duplicate]

### Reputation (1,211)

 +10 Find $\int_{0}^{\frac{\pi}{2}} \dfrac{\sin^n(x)}{\sin^n(x)+\cos^n(x)} dx$. +20 Find all primes $p$ such that $p^3-4p+9$ is a perfect square. +20 How to factor numbers that are the product of two primes +10 Prove that $\frac{a^3}{(1+b)(1+c)}+\frac{b^3}{(1+a)(1+c)}+\frac{c^3}{(1+a)(1+b)} \geq \frac{3}{4}.$

 2 How to find the probability of getting queens using combination or premutations?

### Tags (30)

 2 probability 0 geometry × 5 2 statistics 0 abstract-algebra × 4 0 number-theory × 22 0 elementary-number-theory × 3 0 calculus × 13 0 inequality × 2 0 combinatorics × 6 0 trigonometry × 2

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