An interesting potential update for this wiki page: a generalization of the binary Goldbach's conjecture (BGC) applied on primes with prime-indexes of any order[change source]
I've recently found this interesting (so-called "vertical") generalization of the binary Goldbach's conjecture (aka "VBGC") applied on primes with prime-indexes of any order. Its Romanian author (who isn’t a mathematician, however, but collaborated with some other Romanian mathematicians who are listed in MathSci: PhD George Anescu and prof. Toma Albu who are mentioned in the Acknowledgements section of the main article dedicated to VBGC and the latex preprint) called it a "meta-conjecture" and defined it as an infinite class of conjectures stronger than BGC: the author verified VBGC up to the limit 10^10 (VBGC was also independently verified by many OEIS reviewers who approved two proposed sequences of that author http://oeis.org/A316460 and https://oeis.org/A282251, both sequences based on VBGC as their main reference). Some other mathematicians also cited VBGC (as shown by the VBGC-dedicated Vixrapedia page https://www.vixrapedia.org/wiki/VBGC), including by the well-known Chinese mathematician Zhi-Wei Sun (URL2 URL3) (as a reference of an integer sequence he has submitted to OEIS in 2014 (and then updated it by linking VBGC as a main reference): A218829) and by the Portuguese mathematician and researcher dr. Carla Santos PhD in her relatively recent article called "Os números primos de Ishango". See URLs: URL1 and URL2
Here are the ArXiv preprints on this “VBGC”: https://arxiv.org/abs/2009.12949v1 https://arxiv.org/abs/2009.12949 https://arxiv.org/a/dragoi_a_1.html
The potential infinite number of Goldbach-like comets generated by this “VBGC” are much narrow and stricter than the standard/classical Goldbach comet.
I think this “VBGC” would be an interesting potential update for this Wiki page 18.104.22.168 (talk) 20:00, 31 October 2020 (UTC)