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Results tagged with open-problems
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user 122662
If it turns out that a problem is equivalent to a known open problem, then the open-problem tag is added. After that, the question essentially becomes, "What is known about this problem? What are some possible ways to approach this problem? What are some ways that people have tried to attack it before, and with what results?"
4
votes
Proposals for polymath projects
Could You consider the conjecture as follows to make additional proposals for polymath project?
Let $A, B, C$ be three positive integer numbers such that $A+B=C$ with $\gcd(A, B, C) = 1$. By Funda …
1
vote
1
answer
381
views
Cramer–Castillon problem like
Special case of Golden ratio as a property of conic section (is it known?) as follows:
Let $ABC$ be arbitrary triangle and $DEF$ is the its tangential triangle. Let $CF$ meets $AB$ at $G$ and $BE$ mee …
- 1,776
3
votes
1
answer
396
views
Probability of finding a prime number between $x-\ln(x)$ and $x+\ln(x)$
Using my computer, I found that in the interval $[1, N]$ the probability of finding a prime number between $x-\ln(x)$ and $x+\ln(x)$ is greater than constant $c$ where $N=10^2, 10^3,...,10^{9}$, $x$ …
- 1,776