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A few conjectured limits of products involving the Thue–Morse sequence
sequences-and-series
number-theory
limits
products
conjectures
Pretty conjecture $x^{\left(\frac{y}{x}\right)^n}+y^{\left(\frac{x}{y}\right)^n}\leq 1$
derivatives
inequality
examples-counterexamples
exponentiation
conjectures
A limit involving the Thue–Morse sequence
sequences-and-series
complex-analysis
number-theory
limits
conjectures
Most even numbers is a sum $a+b+c+d$ where $a^2+b^2+c^2=d^2$
elementary-number-theory
diophantine-equations
computational-mathematics
conjectures
sums-of-squares
If $|G|=p^3q^2$ then $\Phi(G)$ is cyclic for primes $p\neq q$.
abstract-algebra
group-theory
finite-groups
conjectures
frattini-subgroup
Interesting property related to the sums of the remainders of integers
elementary-number-theory
summation
conjectures
Conjecture $\sum_{n=0}^\infty a_n= \frac{1}{2}-\frac{7 \zeta(3)}{2 \pi^2}$
sequences-and-series
logarithms
riemann-zeta
conjectures
Squares in $(\operatorname{rad}(1)^2+1)\cdot(\operatorname{rad}(2)^2+1)\ldots(\operatorname{rad}(n)^2+1)$
number-theory
elementary-number-theory
prime-numbers
analytic-number-theory
conjectures
Conjectured value of a difficult integral with Dedekind eta functions
integration
definite-integrals
contour-integration
residue-calculus
conjectures
On progress in mathematics: some long-open problems and long-standing conjectures
reference-request
soft-question
big-list
conjectures
open-problem
A conjecture about the prime function $p_n$: $p_m \cdot p_n >p_{m \cdot n}$
prime-numbers
computational-mathematics
conjectures
Why is Goldbach's conjecture not included in the millenium prize problems
soft-question
conjectures
The difference of two coprime composites
elementary-number-theory
modular-arithmetic
arithmetic
gcd-and-lcm
conjectures
On the conjecture that, for every $n$, $\lfloor e^{\frac{p_{n^2}\#}{p_{n^2 + 1}}}\rfloor $ is a square number.
prime-numbers
exponential-function
conjectures
square-numbers
primorial
A congruence involving Fibonacci polynomials
elementary-number-theory
prime-numbers
examples-counterexamples
conjectures
primality-test
Is there are similar conjecture like this??
number-theory
prime-numbers
conjectures
A conjecture about traces of projections
matrices
operator-theory
trace
conjectures
A congruence involving Chebyshev polynomials
elementary-number-theory
prime-numbers
examples-counterexamples
conjectures
primality-test
Does the prime sequence satisfy $p_n+p_m \le p_{n+m} < p_n p_m$?
prime-numbers
conjectures
A conjecture about integer polynomials and primes
elementary-number-theory
prime-numbers
conjectures
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