Tootfinder

Generalized Sierpi\'{n}ski and Riesel numbers of the form $tb^t \alpha$
Hailey Evans, Joshua Harrington, Kendall Heiney, Maggie Wieczorek
https://arxiv.org/abs/2508.05942 ht…

Generalized Sierpiński and Riesel numbers of the form $tb^t+α$
Let $b\geq 2$ be an integer. We call an integer $k$ a $b$-Sierpiński number if $\gcd(k+1,b-1)=1$ and $k\cdot b^n+1$ is composite for all positive integers $n$. We similarly call $k$ a $b$-Riesel number if $\gcd(k-1,b-1)=1$ and $k\cdot b^n-1$ is composite for all positive integers $n$. An integer that is simultaneously $b$-Sierpiński and $b$-Riesel is called a $b$-Brier number. In this article, we show that for any integer $α\neq 0$, there are infinitely many $b$-Sierpiński numbers and infin…

"Meat is macho: Why masculinity concepts get in the way of green initiatives to cut meat and dairy consumption"
#Climate #ClimateChange #Food

Meat is macho: Why masculinity concepts get in the way of green initiatives to cut meat and dairy consumption
A new study shows that traditional masculine norms are a significant barrier preventing men from reducing their meat and dairy consumption, and recommends how to better appeal to men to change their dietary ways to mitigate damage to the environment from animal agriculture.

Dynamical Mass Generation in QED: Miransky scaling and Schr\"odinger-like infinite well and barrier potentials supporting a bound state
Juan D. Garc\'ia-Mu\~noz, A. Alfaro, L. X. Guti\'errez-Guerrero, A. Raya
https://arxiv.org/abs/2509.12366

Dynamical Mass Generation in QED: Miransky scaling and Schrödinger-like infinite well and barrier potentials supporting a bound state
In this study, we revisit the Schwinger-Dyson equation for the electron propagator in QED in three and four space-time dimensions. Our analysis addresses the non-perturbative phenomenon of dynamical chiral symmetry breaking, which requires a critical value of the coupling for the dynamical generation of electron masses, encoded in the infrared behavior of the corresponding Green function. With a minimalistic truncation of the infinite tower of equations and adopting standard assumptions, the re…

On Noise-Sensitive Automatic Tuning of Gate-Defined Sensor Dots
Fabian Hader, Jan Vogelbruch, Simon Humpohl, Tobias Hangleiter, Chimezie Eguzo, Stefan Heinen, Stefanie Meyer, Stefan van Waasen
https://arxiv.org/abs/2508.07898

On Noise-Sensitive Automatic Tuning of Gate-Defined Sensor Dots
In gate-defined quantum dot systems, the conductance change of electrostatically coupled sensor dots allows the observation of the quantum dots' charge and spin states. Therefore, the sensor dot must be optimally sensitive to changes in its electrostatic environment. A series of conductance measurements varying the two sensor-dot-forming barrier gate voltages serve to tune the dot into a corresponding operating regime. In this paper, we analyze the noise characteristics of the measured data and…

"Swiss pilot takes big step closer to solar plane altitude record"
#Switzerland #Aeroplane #SolarPower #Energy

Swiss pilot takes big step closer to solar plane altitude record
Swiss pilot Raphael Domjan got within around a thousand meters of setting a new altitude record in a solar-powered plane on Sunday as he chases the goal of breaking the 10,000 meters barrier.