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15
170
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Why is this number : $e^{e^{e^{79}}}$ conjectured to be an integer number which is a skew number?

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#integers #conjectures #open-problem
111
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How to write a proof? Use English or mathematical notations?

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#proof-writing #notation #open-problem
285
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Are there any false variants of the Collatz conjecture for which the probability heuristic works?

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#soft-question #divergence-operator #collatz-conjecture #open-problem
138
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Prove or Disprove: $e = m\pi + n$ for some integers $m$ and $n$.

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#number-theory #transcendental-numbers #open-problem
300
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Has it yet been proven that $x_{n+1}=x_n-\frac{1}{x_{n}}$ with $x_0=2$ is unbounded?

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#recurrence-relations #open-problem
170
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Are there infinite many positive integers $n$ such that $n^2 + n +1$ is prime?

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#number-theory #polynomials #prime-numbers #quadratics #open-problem
108
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Can we rigorously define certainties of famous conjectures?

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#probability #logic #soft-question #riemann-zeta #open-problem
243
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Is $n^2 - n + 1$ prime infinitely often?

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#number-theory #prime-numbers #conjectures #open-problem
167
Views

Disprove $m!=100x^2+20x$ using an estimation for factorial.

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#number-theory #factorial #ceiling-and-floor-functions #open-problem
935
Views

Why $9k \pm 4$ can't be written as sum of four cubes

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#summation #diophantine-equations #open-problem #perfect-powers
124
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Currently open questions that would not require infinite memory to evaluate computationally

Published on
#big-list #open-problem
355
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Does the list of "number of groups of order $n$" contain every natural number?

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#abstract-algebra #group-theory #finite-groups #open-problem #groups-enumeration
173
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Is there a semi-decidable statement equivalent to the Collatz-conjecture?

Published on
#reference-request #open-problem #decidability
135
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Conjectures for which there are strong heuristic arguments both for and against

Published on
#soft-question #big-list #conjectures #open-problem
241
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Is there any function whose limit at $x_0$ is unknown?

Published on
#real-analysis #limits #open-problem

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