A modest mathematician from Poland solved an eternal mystery

Source: www.piernafunction.pl

Imagine a man who, for 27 years, alone, without a technological grant, without a university, without a investigation team, is working on a solution to a problem that has been resisting the world’s best mathematical minds for half a century. A man who drives an old 1990 Toyota Corolla collects tyre donations via the internet, himself fixing the chassis with epoxy resin on the pavement in front of the block. And which, probably, solved 1 of the most hard mathematical puzzles.

It's not a discipline fiction story. This is the communicative of Bartosz Yellowak from Wrocław. And it could be the most beautiful technological past of the 21st century.

Article written utilizing artificial intelligence – claude.ai

Beautiful Function

December 1998. Bartosz Żółtak is simply a freshman. During the vacation break, he discovers what he calls a “beautiful function” — a mathematical object described in the formula:

g(x) = f(f(f(x)+1)

The VMPC function converts 1 permutation of numbers into another. And, as it immediately intuitively senses the Yellowhead, it does so in a 1 - way manner. Knowing the result, you can't recreate the starting point. Like Spam: You can make a cattle into a Spam, but you can't play a cattle with a Spam.

The Jap believes he can prove it mathematically. And since that December evening, he's devoted his full life to it.

The top Mystery of Mathematics

The P vs NP problem is 1 of the 7 Millennium Problems announced by the Clay Mathematics Institute in 2000. A million dollars prize is foreseen for each solution. To this day, only 1 — Poincaré’s hypothesis, by Russian mathematician Grigorij Perelman, who then rejected the prize, has been solved.

P vs NP asks something seemingly simple: can any problem that can be rapidly investigated be solved? The answer “no” — or PíčNP — would mean that certain classes of problems are fundamentally hard to calculate. This would have consequences for all computer science, cryptography, artificial intelligence and banking.

All modern cryptography — bank security, Bitcoin, HTTPS — present is based on the presumption that P❌NP. It's just an assumption. No 1 has always proven it.

Yellowhead says it'll change that.

27 years old, 697 files, 222 pages

Yellowhead doesn't work on a part of paper. He retained all 697 intermediate versions of his proof — from the first evidence in 2015 to today. 222 pages of formal mathematical record, dozens of tool claims, years of evolution of each argument.

On his blog beautifulfunction.pl you can follow the advancement of work period after month. The entries are different — they intertwin strict mathematics with very human prose of everyday life. In addition to describing the breakthrough in FiCondP’s claim — a description of the replacement of shock absorbers in Honda Civic on LPG. Next to the discovery of a key pattern — the account of the repair of the door handle on the car.

This is the blog of a man who lives in mathematics — literally. There's nothing else.

February 2, 2026 Yellowhead wrote: “It is my pleasance to inform you that I have yet achieved a substantive end to my work.”

The man who rejected millions

Year 2017. The cryptocurrency marketplace is raging, and dozens of projects without any real technological value make fortunes just due to the fact that they have the word "blockchain" in their name. The yellowhead then has something almost nobody has — a unique cryptographic function with a documented technological background, ready to commercialize. He doesn't make any of it.

He sits on his ID and fights. Concepts that seem groundbreaking turn out to be a dead end after months. This is the hardest kind of intellectual work — erstwhile you know the truth, but you are inactive looking for a language that the full planet can convince.

In the background of a prose of modest life — old Toyota, a modest income from the Permut board game based on its mathematical function, available in a cardboard version and thirty-five collectible pieces of solid beech wood. The remainder has been complemented by people of good heart — who have seen the meaning and consistency of his actions, for years, have supported the task with insignificant contributions on net deposits.

AI does not exclude the success of a Pole

Although there is not yet a final version of Yellow's technological work, artificial intelligence models can measure his chances based on a diary — a blog he has been moving on his website for years, documenting all step of his work. Models specified as Gemini, Grok or Claude justice his kind of work very highly — appreciating the methodology, consistency and deep awareness of the mathematical barriers he encounters. no of the models were able to regulation out that his approach led to a solution to the Millennium problem.

Importantly, Yellowhead is not an anonymous net amateur. His work on the VMPC function resulted in publication at the prestigious global cryptological conference FSE 2004 organized by IACR — the global Criptological investigation Association. He presented his results at the National Cryptography Conference Enigma in Warsaw and received the Wrocław Technology Transfer Center award at the Wrocław University of Technology. He besides created a working VMPCrypt encryption app — publically available and utilized in practice — which shows that its mathematical function is not only a theory, but a real working tool.

Perelman from Warsaw?

History knows this kind of man.

Grigori Perelman, a Russian mathematician who solved Poincaré's hypothesis, worked alone, lived modestly with his parent in St. Petersburg, rejected the $1 million prize and Fields medal due to the fact that he felt that any of the merit belongs to another mathematician who was not appreciated.

Yellowhead's not Perelman. Yet. But the profile is strikingly similar. Single job. A modest life. Absolute focus on 1 goal. No interest in money or fame. And — crucially — deep assurance based not on arrogance, but on 20 - 7 years of work.

There's 1 crucial difference. Perelman worked in the era before the Internet. Yellowhead has access to all the world's mathematical cognition in real time. For the tools of formal proof verification. To an AI that can check all step of reasoning. To the global online math community.

He is the first mathematician of this caliber to work full connected to the world. And who, as AI has shown, can usage these tools masterfully.

35 board of beech wood

There is another dimension to this story.

Yellowhead created a Permut board game, based straight on the VMPC function. He spent 35 collector sets of solid beech wood. Each board has a unique serial number carved on the surface. Each is photographed and archived. Each has unique jars of wood — like a fingerprint.

For 15 years he has not produced a single copy. Even though he could. Even though he needed money for tires.

35 pieces. All over the world. 15 years.

If his proof is recognized, these boards will become relics. Physical objects that existed before the planet found out that PíčNP. The first physical traces of a function that became the foundation of fresh mathematics.

Art collectors pay millions for objects related to landmark moments of history. How much will board number one, solid beech wood, with a carved serial number, created by a man who solved the top mathematical problem of the 21st century?

What's next?

According to Clay Mathematics Institute, if the evidence is not contested for 2 years after publication, it will be considered a solution to the Millennium Problem.

Yellow presently organizes 222 pages for publication. Estimated — 1 year for final preparation, 2 years for mathematical community verification. We are talking about the 2028-2029 perspective.

In these 2 years, the best mathematicians in the planet will be reading his work. They will search for all gap, all hidden assumption, all logical error. This is the harshest possible test — not 1 reviewer but the full global technological community.

If the evidence survives — Bartosz Żółtak, a man who spent 27 years collecting donations to Toyota Corolla and repairing the chassis with epoxy resin — will join the shortest list in discipline history. Letters of people who solved the Millennium problem.

The Bartosz Żółtak task can be followed on the website www.piernafunction.pl. Permut board game can be found on permut.pl.

Project financial support possible by www.dropka.pl/vmpc.