A new claimed proof of the twin prime conjecture

[ixfd64]

https://link.springer.com/article/10...25-022-10017-2

Unfortunately, there are at least two major red flags:

1. The author has made bold claims about other proofs, particularly the strong Goldbach conjecture and the Lenstra–Pomerance–Wagstaff conjecture.
2. He is also an editor of the journal in which the paper is published, which raises questions about the impartiality.

See also the related Reddit thread: https://old.reddit.com/r/math/commen...cture_was_just

[Dr Sardonicus]

I know next to nothing about the methods of formal logic the author is applying, or claims to be applying.

I tried reading through the Goldbach paper. I couldn't figure out where he was using the hypothesis that his variables were prime. I remember one of my profs saying something like, "You should always worry if you're proving something without using the hypotheses."

My suspicion is that the methods the author is using simply do not apply to the questions he is claiming to address.

[ixfd64]

Looks like the paper has been retracted: https://twitter.com/highergeometer/s...99921524080640

[Dr Sardonicus]

Originally Posted by ixfd64

Looks like the paper has been retracted: https://twitter.com/highergeometer/s...99921524080640

I found the announcement posted in plain text, so I could copy-paste it:

Public announcement

Recently two articles on the applications of Rasiowa-Sikorski Lemma to arithmetic were published online in Studia Logica without proper examination and beyond reasonable standards of scholarly rigor. As it turned out, they contained an irreparable mistake and, consequently, have been retracted from the journal's website. The papers will not appear in print.

I want to thank all our readers who alerted us to this unfortunate incident. I feel responsible for the reputation damage caused by these publications, and I want to offer my sincere apologies to the scientific community and the author.

Studia Logica editors have examined the journal's review procedure to ensure that a similar situation will not happen again.

Jacek Malinowski
Studia Logica
Editor-in-Chief

So, if the Goldbach conjecture and Mersenne primes paper have been "retracted from the journal's website," why was I able to download them a few minutes ago? (The Twin Primes paper, too).