Empirical verification of a new generalisation of Goldbach's conjecture up to $10^{12}$ (or $10^{13}$) for all coefficients $\le 40$

Zsófia Juhász, Máté Bartalos, Péter Magyar +1

A new generalisation of Goldbach's conjecture (GGC) - also generalising that of Lemoine - is tested, introduced by the first author. It states that for every pair of positive integ…