joro

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Examples of interesting false proofs

mar 21 at 15:18 joro 4,290●1●10●31

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zeta(3) in terms of derivatives of zeta at 1/2 and pi

may 6 at 8:22 joro 4,290●1●10●31

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Diophantine $x^p+y^q=(x+y)^r$

oct 3 11 at 8:23 joro 4,290●1●10●31

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22
How many integer partitions of a googol (10^100) into at most 60 parts
17
Are the ‘semi’ trivial zeros of $\zeta(s) \pm \zeta(1-s)$ all on the critical line?
13
Is every distance-regular graph vertex-transitive?
12
Every prime number > 19 divides one plus the product of two smaller primes?
12
A Diophantine Equation
10
zeta(3) in terms of derivatives of zeta at 1/2 and pi
9
Important open problems that have already been reduced to a finite but infeasible amount of computation
7
Efficient computation of integer representation as sum of three squares
7
Bitcoin Research
7
Examples of interesting false proofs (2)
6
Primes with more ones than zeroes in their Binary expansion
6
Fermat’s Last Theorem for Gaussian Integers ( excluding $\mathbb{Z}$ or $i\mathbb{Z}$ )
6
Is it possible to check two curves on birational equivalence by some computer algebra system?
6
Properties of natural numbers such that there is a “very large largest” number with that property
5
counting triangle free graphs
5
Are all zeros of $\Gamma(s) \pm \Gamma(1-s)$ on a line with real part = $\frac12$ ?
5
Number of x such that $m-x^2$ and $n-x^2$ are both squares
5
How many sequences of rational squares are there, all of whose differences are also rational squares?
5
Basic software libraries for numerical analysis using modern programming languages?
5
How true are theorems proved by Coq?
4
The diophantine eq. $x^4 +y^4 +1=z^2$
4
Even Perfect numbers $n$ with $n+1$ prime
4
Are there known non-real zeros of derivatives of Riemann zeta with 0 < Re(s) < 1/2?
4
Can the difference of two distinct Fibonacci numbers be a square infinitely often?
4
Is this combination of generalized polygamma and dilogarithm actually zero? $\Im\;\psi^{(-2)}(1+i)+\frac1{4\pi}\text{Li}_2(e^{-2\pi})-\log\sqrt{2\pi}+\frac{5\pi}{24}+\frac12$
4
Generation of All Path in a Directed Acyclic Graph
4
A Weaker Version of the ABC Conjecture
3
Maximum size of powers with a given difference
3
How many 0, 1 solutions would this system of underdetermined linear equations have?
3
Solutions of $\zeta(s) = 1$, $\zeta(\zeta(s)) = 1$ near a line and a circle, respectively?
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