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Empy2

Adelaide, Australia

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80
Is every integer representable as the sum of four Fibonacci squares?
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35
Prove there are no prime numbers in the sequence $a_n=10017,100117,1001117,10011117, \dots$
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31
question about prime numbers
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29
Why did Euler use e to represent complex numbers?
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27
What is the limit of $x/(x+\sin x)$ as $x$ approaches infinity?
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26
A question of random points in a square and probability of intersection of their line segments
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22
Understanding this pattern behind the Fibonacci sequence
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21
Calculate the limit : $\lim_{x \to 0}\frac{x-\sin{x}}{x^3}$ WITHOUT using L'Hopital's rule
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20
Check if a point is inside a rectangular shaped area (3D)?
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18
Independence of $\frac{1-\cos(x)+k\sin(x)}{\sin(x)+k(1+\cos(x))}$ from $k$.
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16
Inequality involving square roots
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16
Is it possible for the bisection method to provide "fake" zeros
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15
What does $\|u\|$ mean?
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15
Intermediate digits of 34!
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15
What is the average rational number?
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14
If squaring a number means multiplying that number with itself then shouldn't taking square root of a number mean to divide a number by itself?
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14
Examples of $ \sqrt 2$ and $\sqrt[3]{3}$ in nature?
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13
Is $x = 2$ is the only real solution for $a^x + b^x = c^x$ when $(a,b,c)$ is a pythagorean triplet?
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13
Regular polygon of radius $1$ with diagonals: mysterious ring of radius $1/e$?
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13
How to approximate a parameter that gives a tangent line to three circles?
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12
How would you prove that there is only a finite number of these primes?
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12
Why do reciprocal functions work for undefined values?
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12
Probability of getting a $7$ in Minesweeper
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12
Is it true that every eigenvalue has at least one eigenvector?
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12
Sum of cubes of first n fibonacci numbers
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11
If $f(x)=f(2x)$, then $f$ is differentiable
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11
If I ask $1000$ people to choose a random number between $0$ and $999$, what is the probability that no one will choose a specific number?
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11
Why does $f(z) = z^n$ have no antiderivative only for $n=-1$?
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11
Calculating decimal digits by hand for extremely large numbers
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11
What are your favorite relations between e and pi?
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