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Juan Moreno's user avatar
Juan Moreno's user avatar
Juan Moreno's user avatar
Juan Moreno
  • Member for 5 years, 11 months
  • Last seen more than a week ago
7 votes
4 answers
214 views

$\cos(a)+\cos(b)-\cos(a+b)\geq 1$

6 votes
1 answer
425 views

Observation and conjecture on Lychrel numbers

5 votes
1 answer
178 views

Convex polygons - For $n>3$, $\sum_{i=1}^{n} \cos\theta_i < \cos\left(\sum_{i=1}^{n} {\theta_i}\right)$

5 votes
0 answers
77 views

Can $\frac{a^n + b^n}{a+b} = c^n$ have a solution? (CONT)

4 votes
0 answers
99 views

Minimum $k$ for which every positive integer of the interval $(kn, (k+1)n)$ is divisible by at least one prime number less than $n$

4 votes
0 answers
142 views

Alternative proof of existence of infinitely many positive integers not of the form $2ij+i+j$

4 votes
0 answers
178 views

Bounding a partial sum with Möbius inversion formula

4 votes
0 answers
179 views

Prime numbers with consecutive primes as digits

3 votes
1 answer
273 views

Interesting patterns in digits of decimal expansion of powers of 2

3 votes
3 answers
408 views

On the construction of convex $n$-gons with convex $(n-k)$-gons

3 votes
0 answers
124 views

Elementary lower bound for solutions to the equation $a^{n}+b^{n}=c^{n}$

3 votes
0 answers
133 views

Prime numbers of the form $p^{x}+C$

3 votes
0 answers
109 views

Possible improvement on Giuga's conjecture - proof verification

3 votes
1 answer
110 views

Partial sum of square-free integers

3 votes
2 answers
147 views

Bounding $\pi\left(\frac{n}{p_{\pi(\sqrt{n})}}\right) - \pi\left(\sqrt{n}\right)$

3 votes
0 answers
55 views

Minimum integer solution to some system of congruences involving prime numbers

3 votes
2 answers
113 views

Finding $\rho$ for which $(\frac k\rho)^k<\prod\limits_{i=1}^kp_i<((\frac k\rho)+k\varepsilon)^k$

3 votes
1 answer
57 views

Divisibility of numbers in intervals of the form $[kn,(k+1)n]$ [duplicate]

2 votes
1 answer
43 views

Which is the error in this application of Möbius inversion formula?

2 votes
1 answer
131 views

An inequality with a "Cauchy-Schwarz" flavour

2 votes
0 answers
79 views

Help checking if an inequality holds

2 votes
0 answers
120 views

Formula for Mertens Function $M\left(x\right)$ in terms of the Prime counting function $\pi\left(x\right)$ using inclusion-exclusion

2 votes
1 answer
94 views

Possible generalization of conjectures involving sets and sumsets of positive integers [closed]

2 votes
0 answers
78 views

Prime numbers in rearrangements of Smarandache numbers

2 votes
1 answer
44 views

Finding order when disordering an ordered set

2 votes
1 answer
85 views

On the sum of subsets of arithmetic progressions

2 votes
0 answers
64 views

Möbius inversion formula and $\sum_{k\leq n} \frac{\mu(k)}{k}$

2 votes
0 answers
76 views

Meaning of $M(n)=O\left(x^{\frac{1}{2}+\epsilon}\right)$

2 votes
0 answers
350 views

Formal proof for the asymptotic of a partial sum

2 votes
1 answer
372 views

Sharp bounding of a sum involving Möbius function

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