All Questions
Tagged with big-list conjectures
10 questions
2
votes
2
answers
857
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Easy to explain conjectures that are still unsolved [duplicate]
Mathematics has many open conjectures which are ridiculously hard to even understand. But this is not always the case. An example is:
Collatz conjecture.
I would like to see some more examples. So ...
58
votes
5
answers
6k
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Arriving at the same result with the opposite hypotheses
I am pretty distant from anything analytic, including analytic number theory but I decided to read the Wikipedia page on the Riemann hypothesis (current revision) and there is some pretty interesting ...
48
votes
6
answers
5k
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Are there examples of conjectures supported by heuristic arguments that have been finally disproved?
The idea for this comes from the twin prime conjecture, where the heuristic evidence seems just so overwhelming, especially in the light of Zhang's famous result from 2014 about Bounded gaps between ...
78
votes
9
answers
9k
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Mathematical conjectures on which applications depend
What are some examples of mathematical conjectures that applied mathematicians assume to be true in applications, despite it being unknown whether or not they are true?
63
votes
7
answers
8k
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Theorems demoted back to conjectures
Many mathematicians know the Four Color Theorem and its history: there were two alleged proofs in 1879 and 1880 both of which stood unchallenged for 11 years before flaws were discovered.
I am ...
7
votes
0
answers
667
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What will be the consequences if second Hardy-Littlewood conjecture turns out to be true?
It is generally believed that the Second Hardy-Littlewood Conjecture is false. But it has not been proved (or disproved) yet. My question is,
What would be the consequences if Second Hardy-Littlewood ...
user57432
8
votes
3
answers
3k
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The resolution of which conjecture/problem would advance Mathematics the most? [closed]
This is an impossibly broad question, and makes the unwarranted assumption that Mathematics is a uniform field. It might make more sense to ask the same question restricted to, say, Mathematical Logic,...
2
votes
0
answers
114
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Non-negative, monotone polynomial sequences without combinatorial interpretation
I am wondering what sequences of integers there are, that are known to grow polynomially, are non-negative, monotone but lacks a combinatorial interpretation.
By combinatorial interpretation, they ...
- 15.8k
10
votes
0
answers
788
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Isoperimetric inequality, isodiametric inequality, hyperplane conjecture... what are the inequalities of this kind known or conjectured?
I duplicate here a question I asked on math.stackexchange.
Question: Which inequalities similar to the famous isoperimetric inequality is known?
conjectured?
I recently learned about some ...
11
votes
6
answers
3k
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What are conjectures that are true for primes but then turned out to be false for some composite number?
Note: This is an update formulation since many people misunderstood the question before.
Of course it is easy to make a statement like "Every n is a prime or at most 1000", which is true for every ...
- 19k