User Sharky Kesa - Puzzling Stack Exchange

Sharky Kesa

Member for 2 months
Last seen this week

artofproblemsolving.com/…
Newcastle, New South Wales, Australia

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About

University Student

Participant at the Australian School of Excellence (International Maths Olympiad Training Camp for Australia) since 2014 to 2019.

Decided to procrastinate later. ;)

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12

Is $29$ the only prime of the form $p^p+2$?

10

Interesting integral $\int_0^\pi \frac{\sin(x)}{x} e^{x \cot(x)} \ \mathrm{d}x = \pi$

9

Help with $\int_0^{\frac{\pi}{2}} \frac{x \cos(x)}{\sin^2(x)+1} \; \mathrm{d}x = \frac{1}{2} \sinh^{-1}(1)^2$

8

Extremising $\int_0^1 f(x) f(1-x) \ \mathrm{d}x$ subject to length of $f$ and endpoints

8

Diophantine equation $x^3+x+a^2=y^2$