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egglog
  • Member for 5 years, 2 months
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22 votes

Are there infinitely many Fermat prime pairs?

10 votes
Accepted

Formula to inscribe nested polygons tilted by $x^\circ$?

5 votes

Prove that no Fermat number is a $3$ rd power of an integer.

5 votes
Accepted

Easy Putnam Question

4 votes

Solve the trig system of equations

4 votes
Accepted

Inequality $((4000 - x)^2 - (3200 - x)^2) > ((2100 - y)^2 - (4000 - y)^2)$

4 votes
Accepted

Is it possible to determine if $\frac{xy^2}{2}$ is an even number?

3 votes

Prove by induction that $\displaystyle\prod_{i=1}^{n}\frac{n+i}{2i-3}=2^n(1-2n)$.

3 votes
Accepted

Prove $ 2^{7}\cdot3^{7} \notin \{72, 108\}^{*} $

3 votes

What functions satisfy $D^* f = Df$?

2 votes
Accepted

How do I find the value of $f(0)$?

2 votes
Accepted

Solve the nonlinear differential equation $xy''=y'+(y')^3$

2 votes
Accepted

Product to sum with three coeffiecients

2 votes

Given a triangle ABC inscribed in the unit circle

2 votes

Sum of unit fractions problem; conjecture about bijection between solutions to $\frac{1}{N}=\frac{1}{p}+\frac{1}{q}$ and divisors of $N^2$

2 votes
Accepted

Prove by induction that $\displaystyle\prod_{i=1}^{n}\frac{n+i}{2i-3}=2^n(1-2n)$.

2 votes

Solutions of $\sqrt{x^2+5x-14} + |x^2+4x-12|=0$

2 votes

$\forall$ a,b $\in$ $\mathbb{R}$ satisfying a < b, $\exists$ n $\in$ $\mathbb{N}$ such that a + $\frac{1}{n}$ < b.

2 votes

solving $(1-e^x)(x)=0$

2 votes

There exist infinitely many primes of the form $p = \lfloor\sqrt{n} + \sqrt{n + 1}\rfloor$.

2 votes
Accepted

For some $x\in\Bbb{R}$ and $\{a,b\}\in\Bbb{Z}$, prove or deny: $\lfloor\frac{a+x}b\rfloor=\left\lfloor\frac{a+\lfloor x\rfloor}b\right\rfloor$

2 votes
Accepted

How to find an opening angle in a concave quadrilateral polygon?

2 votes

$x^2\frac{dy}{dx}+xy+1=0$

1 vote

Axler's Theorem 2.43: the dimension formula

1 vote
Accepted

Line segment connecting two concentric circles with a fixed midpoint

1 vote
Accepted

upper bound on weighted sum

1 vote
Accepted

Prove that $\arcsin\bigl(\frac{2t}{1+t^2}\bigr)=2\arctan t$

1 vote
Accepted

Solving algoritm spiral (in Python)

1 vote
Accepted

Error in a bogus proof showing equivalence of Cartesian Product and Union of sets of pairs

1 vote

Elementary proof of $\lim_{n\to\infty}n\left(a^{\frac{1}{n}}-1\right)=\ln a$