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think it would be great if someone put up a poll for future polymath projects allowing other types of feedback eg comments etc… there are hundreds of great problems to choose from and it would be really neat if there was some better/ more visible/ populist process to narrow down the candidates. ps however you slice it collatz should be at top of list :)
Comment by vznvzn — February 8, 2019 @ 4:39 am |
It looks like Superpermutations is turning into a vast Polymath-style project, with an (old) proof from 4chan https://www.quantamagazine.org/unscrambling-the-hidden-secrets-of-superpermutations-20190116/, discussions in a Google group https://groups.google.com/forum/#!forum/superpermutators, GitHub repo https://github.com/superpermutators/superperm, and new record in YouTube comment https://groups.google.com/d/msg/superpermutators/KNhmzQy99ic/Gs61OihCDwAJ.
Comment by Junyan Xu — February 17, 2019 @ 10:34 pm |
Dear team,
I’m a Pediatrician specialist and hobbyist in mathematics: however, I’ve manage to publish a generalization of GC (as applied on primes with prime indexes of any order) in both a peer-review journal and as an independently verified reference of two sequences submitted on OEIS in 2017 and 2018.
Maybe my generalized Goldbach conjecture (aka VBGC) (which is a meta-conjecture and the only published meta-conjecture on primes from my knowledge) will inspire professional mathematicians on this forum to find new strategies in demonstrating GC.
https://www.vixrapedia.org/wiki/VBGC (which is the shortest possible introduction on VBGC)
http://www.sciencedomain.org/abstract/21625
https://www.researchgate.net/publication/320740914
https://books.google.ro/books?id=tvdODwAAQBAJ
See also the VBGC-based integer sequences on OEIS (which were approved in 2017 and 2018 after VBGC review with 2 distinct software: Mathematica and PARI, plus Visual C in which I’ve tested it personally):
http://oeis.org/A316460
https://oeis.org/A282251
As an additional note (see VBGC reference), VBGC can be considered an indirect „proof” of BGC, because VBGC essentially states/conjectures an infinite set of finite values f(a, b) (above which all even numbers can be written as the sum of two distinct prime-index primes of any finite order) which indicates that BGC (equivalent to VBGC (0,0)) is very probably true, because f(0,0) is only a special case (the first one) of this (conjectured) infinite set. In other (more plastic) words, BGC is just a “tree” in the plausibly infinite VBGC “wood”, which VBGC is a spectacular quasi-fractal property of primes distribution (Dp) when applied iteratively on itself (and holding VBGC).
VBGC supports even more improvements (which will be contained in a future article on VBGC which is in working progress)
dr. Andrei-Lucian Dragoi,
http://www.dragoii.com
Comment by Andrei-Lucian Dragoi — February 5, 2020 @ 10:39 pm |