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user142929
  • Member for 4 years, 8 months
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3 votes
1 answer
199 views

A diophantine equation inspired in a conjecture due to Gica and Luca, example of a large Mersenne exponent

3 votes
1 answer
316 views

On conjectures about the arithmetic function that counts the number of Sophie Germain primes

3 votes
0 answers
190 views

Irrationality or transcendence of $i^{i\Omega}$ and $2^\Omega$, with $\Omega=W(1)$ and $W(x)$ being the main branch of Lambert $W$ function

3 votes
0 answers
144 views

On an inequality for the arithmetic function counting the number of primes $\lfloor n^c\rfloor$ in the spirit of Ramanujan's prime counting inequality

3 votes
2 answers
508 views

Approximation of $\sum_{\rho}\frac{1}{|\rho|^2}$, over the non-trivial zeros of the Ramanujan's zeta function

3 votes
1 answer
335 views

Is there a clear criterion or rule about when one can use the heuristic given by Cramér random model for prime numbers?

3 votes
1 answer
191 views

More important or relevant progress in discretizing hard problems in physics in last decade

3 votes
1 answer
364 views

Odd perfect numbers having as prime factors exclusively Mersenne primes and Fermat primes

3 votes
2 answers
215 views

The graph and sign of $p_n-\operatorname{ali}(n)$, where $p_n$ is the $n$-th prime and $\operatorname{ali}(n)$ the inverse of the logarithmic integral

3 votes
0 answers
270 views

Catalan numbers, Pochhammer symbols, Stirling numbers of the second kind, and sums of aliquot parts

3 votes
1 answer
203 views

Races that involve odd semiprimes: a first statement or conjecture

3 votes
0 answers
282 views

An attempt to get a variant of Agoh–Giuga conjecture

3 votes
1 answer
372 views

Bounds for the number of prime numbers less than the Euler's factor, the radical and the greatest prime factor, respectively, of an odd perfect number

2 votes
2 answers
266 views

On values of $n\geq 1$ satisfying that for all primorial $N_k$ less than $n$ the difference $n-N_k$ is a prime number

2 votes
0 answers
54 views

On $\sum_{\substack{1\leq d\mid n\\d<f(n)}}d$ and odd perfect numbers, for $f(n)$ the greatest prime factor or $\operatorname{rad}(n)$, respectively

2 votes
0 answers
177 views

From Firoozbakht's conjecture to set interesting conjectures for sequences or series of primes

2 votes
1 answer
259 views

On a problem that equates $\frac{\text{prime}-1}{\operatorname{rad}(\text{prime}-1)}$ with the sequence of primorials

2 votes
0 answers
165 views

What about series involving strong primes?

2 votes
0 answers
66 views

Is it possible to deduce statements for odd perfect numbers from the convolution sums involving divisor functions or other arithmetic functions?

2 votes
1 answer
221 views

Does exist a variant of Frullani's theorem valid for $f(x)=\pi(x)/x$ or $f(x)=\psi(x)/x$, where the numerators are prime-counting functions?

2 votes
0 answers
245 views

Calculating $\int_1^{\infty}\frac{\operatorname{ali}(x)}{x^3}dx$, where $\operatorname{ali}(x)$ is the inverse function of the logarithmic integral

2 votes
1 answer
525 views

On $\zeta(7)$ as the integration of the product of an indefinite integral due to Lobachevskii by a power of the inverse Gudermannian function

2 votes
1 answer
164 views

What about a formula similar than Mill's formula, but producing positive integers without repeated prime factors?

2 votes
1 answer
193 views

Interpretation of an equivalence to the Riemann hypothesis due to de Reyna and Toulisse in the spirit of a formula from an article

2 votes
1 answer
138 views

Example of evaluation of $\int_0^1\left(\sum_{k=0}^n (f(x))^k\right)^{\alpha}dx$, for some choice of $f(x)$ satisfying certain requirements

2 votes
1 answer
209 views

On $\sum_{\substack{p\leq x\\p,p+2\text{ twin primes}}}\frac{(\log p)^m}{p}$, on assumption of the first Hardy–Littlewood conjecture

2 votes
0 answers
155 views

Subsets of particular values of $\zeta'(k)$ that contain irrational numbers

2 votes
0 answers
95 views

Two conjectures inspired from an equation involving the sum of divisors and the Euler's totient function due to Iannucci

2 votes
0 answers
74 views

Least number of factors $\sigma(p^e)$ of representation of $\sigma(N)$ to get the least multiple of $\operatorname{rad}(N)$, for odd perfect numbers

2 votes
0 answers
108 views

On variations of a claim due to Kaneko in terms of Lehmer means