$\sum\limits_i a_i^2\sum\limits_i b_i^2+\left(\sum\limits_ia_i b_i\right)^2\geq \sqrt{\sum\limits_i a_i^4\sum\limits_i b_i^4}+\sum\limits_ia_i^2b_i^2$

score 257 · Answer 10 · 2026-03-27 17:06:11

257

Views

Is the following inequality involving the sum-of-divisors and Euler totient functions true?

Published on 27 Mar 2026 - 17:06

score 292 · Answer 11 · 2016-03-30 03:17:25

292

Views

Uniqueness or non uniqueness of a pair of natural numbers

Published on 30 Mar 2016 - 3:17

score 601 · Answer 12 · 2016-04-03 04:22:35

601

Views

A conjecture about traces of projections

Published on 03 Apr 2016 - 4:22

score 134 · Answer 13 · 2016-04-03 18:09:11

134

Views

How close are we to knowing the rate of convergence to $0$ of $\prod_{p\le x}(1-1/p)^{-1}-e^\gamma\log x $?

Published on 03 Apr 2016 - 18:09

score 943 · Answer 14 · 2026-03-28 22:55:10

943

Views

conjectured general continued fraction for the quotient of gamma functions

Published on 28 Mar 2026 - 22:55

score 329 · Answer 15 · 2026-03-12 11:34:40

329

Views

Prime conjecture containing primorial: the difference between the primorial $n\#$ and the smallest prime $p > n\# + 1$ is always a prime

Published on 12 Mar 2026 - 11:34

List Question

If $b$ is an odd composite number and $\dfrac{b^2 - 1}{\sigma(b^2) - b^2} = q$ is a prime number, what happens when $q = 2^{r + 1} - 1$?

Does the Descartes number $D = 198585576189$ have a friend?

Can we capture the definition to be a Mersenne prime in an identity only involving the arithmetic function $S(n)=\sum_{k=1}^n\text{nmod k}$?

A Conjecture Sharper than Cramér's and Firoozbakht's

I think I've found all roots to $f_k(x)=\sum_{j=1}^k x^j-x^{-j}$ for any $k$ - how to prove it?

How do you refute these conjectures that seem imply contradictory statements?

If $|G_1|=|G_2|<\infty$ and $|G_1'|<|G_2'|$, then $|Z(G_1)|\geq |Z(G_2)|$? where $G'$ is the commutator subgroup of $G$.

Are there infinitely many primes in any sequence determined by a $k$ that is not a Sierpinski number?

$\sum\limits_i a_i^2\sum\limits_i b_i^2+\left(\sum\limits_ia_i b_i\right)^2\geq \sqrt{\sum\limits_i a_i^4\sum\limits_i b_i^4}+\sum\limits_ia_i^2b_i^2$

Is the following inequality involving the sum-of-divisors and Euler totient functions true?

Uniqueness or non uniqueness of a pair of natural numbers

A conjecture about traces of projections

How close are we to knowing the rate of convergence to $0$ of $\prod_{p\le x}(1-1/p)^{-1}-e^\gamma\log x $?

conjectured general continued fraction for the quotient of gamma functions

Prime conjecture containing primorial: the difference between the primorial $n\#$ and the smallest prime $p > n\# + 1$ is always a prime

Trending Questions

Popular # Hahtags

Popular Questions