Since we're in Bitcoin forum, IMO phrase "Don't trust, verify" is appropriate for claim of that researcher.
Anton Guzhevskiy, the chief operating officer at Australian cybersecurity firm ThreatDefence, also challenged Gerck to prove his claims. "I've shared an RSA-2048 public key and a corresponding private key encrypted by this public key. If you can decrypt the private key, you can sign some piece of text with it, which will prove that you are in possession of the private key," he said in a response to Gerck's post on LinkedIn. "Can you do it?"
"There is a publication delay, and I do not control that," Gerck responded.
Says it all really.
This sounds like CSW all over again. Ask for a signed message as proof, which would be trivially easy to provide if any of the claims were true, and instead be told that we have to wait for some paper or evidence to be published which will "totally prove it".
I won't be holding my breath.
And based on what i found, it looks like that researcher currently or used to be owner or that publication. This is what i did,
1. Read news mentioned by OP which mention
https://www.researchgate.net/publication/373516233_QC_Algorithms_Faster_Calculation_of_Prime_Numbers.
2. Research Gate says that researcher is part of "Planalto Research".
3. From DuckDuckGo search result, i found this LinkedIn page for "Planalto Research" which can be seen at
https://www.linkedin.com/company/planalto-research.
4. That LinkedIn page mention
http://gerck.com .
5. I can't access
http://gerck.com , but archived page on archive.org show this,
© Ed Gerck, 2001-2015.
So i agree it's like CSW again.
CMIIW.