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Collag3n

Apparently, this user prefers to keep an air of mystery about them.

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  • Member for 3 years, 8 months
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8 Is $\small \sum\limits_{p\leq x}\pi\left(\frac{x^2}{p}\right)-\sum\limits_{p\gt x}\pi\left(\frac{x^2}{p}\right)=\pi^2(x)$ of any use? Jan 13 '19
7 Some details about 'Collatz Conjecture'? Mar 28 '18
5 Showing $3^iq-2^{i-p}\neq2^pq-1$, with $p:=\lceil i\,\log_23\rceil$, $q:=\left\{\frac{2^{i}\,3^{2^{p-i-2}}}{2^p3^i}\right\}$, $i>6$ Aug 29 '19
5 A possible way to prove non-cyclicity of eventual counterexamples of the Collatz conjecture? May 6 '19
5 Calculate the maximum in the Collatz sequence Nov 28 '19
5 $(n_0) \to (n_i)$ and $(n_0+k\cdot2^j)\to(n_i+k\cdot3^i)$, same Glide? Nov 27 '17
3 Is this argument valid for showing given integers $n>1$ and $2^m > 3^n$, $(2^m - 3^n) \nmid 3^n - 2^n$ Oct 15 '20
3 Show that $2^n<2^{\lceil n \log_23\rceil}-3^n<3^n-2^n$ Mar 1
3 How can I prove that $b = \prod_{i=1}^n (3 + \frac{1}{x_i})$ results not in an even, natural number, except for $n=1$ .and $x1 = 1$ Mar 19 '20
3 Is it possible to find $ψ(m_1,m_2,\ldots,m_k)$? Oct 5 '17
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