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Beyond Computation: How Neel Somani and ChatGPT Are Rewriting Mathematics

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6 months ago

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California, US, 4th February 2026, ZEX PR WIRE, For decades, the “Erdős problems”, a collection of over 1,000 mathematical conjectures posed by the legendary Hungarian mathematician Paul Erdős, have served as a rigorous proving ground for the world’s brightest human minds. They range from deceptively simple number theory puzzles to complex combinatorial nightmares.

For a long time, the consensus was that Artificial Intelligence could handle calculation, but not creation. It could crunch numbers, but it couldn’t reason through abstract proofs.

That consensus just shattered.

Over a single weekend, Neel Somani, a software engineer and founder of the blockchain platform Eclipse, utilized OpenAI’s GPT 5.2 Pro to crack open Erdos problems that had remained unsolved for years. This wasn’t a case of a computer searching a database faster than a human; it was a case of an AI generating novel mathematical logic, formalized by a human expert.

We are witnessing a fundamental shift in the epistemological hierarchy of mathematics. The barrier between “human reasoning” and “machine processing” is dissolving, and Somani’s work provides the data to prove it.

The Weekend Win: Cracking Problem #397

Neel Somani, a former quantitative researcher at Citadel with a triple major from UC Berkeley, was stress-testing the reasoning capabilities of the new GPT 5.2 Pro model. He wasn’t looking for a calculator; he was looking for a co-author.

He fed the model Erdos Problem #397. After approximately 15 minutes of “thinking,” the model returned a full solution.

The problem asks for integer solutions to a specific binomial identity. To the layman, it looks like a jumble of variables. To a mathematician, it represents a precise relationship between numbers. The AI proposed that since $a$ can be chosen arbitrarily large, there are infinitely many distinct-index solutions.

Specifically, for an example where $a = 2$, the AI derived that $c = 49$, and the identity becomes:

$$ binom{2}{1} binom{49}{6} = binom{98}{3} binom{1}{1} $$

Somani reviewed the output. It wasn’t just hallucinated gibberish; it was sound logic. He formalized the proof using a tool called Harmonic and submitted it. The result? Accepted by Terence Tao, one of the most respected mathematicians alive today.

The AI had not only identified a solution but had effectively “reasoned” its way through a path that differed from previous partial attempts. While the model found a 2013 Math Overflow post by Harvard mathematician Noam Elkies regarding a similar problem, GPT 5.2 Pro’s final proof offered a more complete solution to the specific version posed by Erdős.

The “Unambiguous Instance”: Problem #281

If Problem #397 was a fluke, Problem #281 was the confirmation.

Neel Somani turned the model toward a covering system problem in number theory. The problem posits:

Let $n_1 < n_2 < dots$ be an infinite sequence such that, for any choice of congruence classes $a_i pmod{n_i}$, the set of integers not satisfying any of the congruences $a_i pmod{n_i}$ has density 0.

The question was whether for every $epsilon > 0$ there exists some $k$ such that the density of integers not satisfying the congruences is less than $epsilon$.

GPT 5.2 Pro generated a new proof. When Somani published the results, Terence Tao referred to it as “perhaps the most unambiguous instance” of AI solving an open problem.

This distinction is critical. In the past, AI “solutions” were often just efficient retrievals of existing literature. In this case, no prior solution was found. The AI bridged the gap between the known and the unknown.

The Data: Separating Genius from Hallucination

Skeptics often point to LLM hallucinations as a reason to dismiss their utility in rigorous fields. Somani, approaching this with the mindset of a quant and a computer scientist, decided to quantify the model’s actual efficacy.

He recruited a team of undergraduates to construct a dataset of ChatGPT responses to every open Erdos problem, 675 in total. The results provide a fascinating map of the current AI frontier:

  • Recited known literature: 618 (The AI acted as a search engine)

  • Incorrect: 17 (The AI hallucinated or failed)

  • Correct, known results: 12

  • New solutions to Erdos problems: 3

While 3 out of 675 might seem statistically small, in the world of high-level mathematics, it is monumental. It implies that for a specific subset of problems, the AI is already operating at the level of a published mathematician.

The “Long Tail” of Mathematics

Why is this happening now? Terence Tao, observing Somani’s progress, conjectured on Mastodon that AI systems are uniquely suited for the “long tail” of obscure Erdos problems.

Many of these problems are not “unsolvable” in the sense that they require a new branch of mathematics to be invented (like Fermat’s Last Theorem). Rather, they are tricky, labor-intensive, and obscure. They require connecting disparate axioms, Legendre’s formula, Bertrand’s postulate, the Star of David theorem, in novel ways.

This is where the scalable nature of AI shines. A human mathematician might spend a lifetime solving a dozen such problems. An AI, directed by a human operator like Somani, can attempt thousands in a day, clearing out the “clutter” of the mathematical landscape and leaving humans to focus on the deepest, most structural conjectures.

The Role of the Human Operator

It is important to note that GPT 5.2 Pro did not do this alone. It required Neel Somani.

Neel Somani’s background is pivotal here. As the founder of Eclipse, a Layer 2 blockchain platform that raised $65 million, and a former researcher at Citadel, he understands complex systems. His triple major from Berkeley in CS, Math, and Business gave him the vocabulary to prompt the model effectively and, more importantly, the expertise to verify the output.

The future of mathematics, and enterprise problem solving, looks exactly like this workflow:

  1. The Architect (Human): Identifies the problem and frames the prompt.

  2. The Engine (AI): Generates potential proofs, leveraging vast databases of axioms.

  3. The Verifier (Human/Formalization Tools): Tools like Lean or Harmonic are used to formally check the logic, ensuring the AI hasn’t made a subtle error.

The Future of Discovery

We are moving toward an era of “Formalization,” where labor-intensive verification is automated by tools like Harmonic’s Aristotle, and creative reasoning is augmented by models like GPT 5.2.

Neel Somani’s work with the Erdos problems is not just a “weekend win” for a crypto founder. It is a signal to every industry. If AI can reason through unsolved number theory, what can it do for supply chain logistics? For cryptographic security? For protein folding?

The tools are here. The frontier is open. The only question remaining is: what problem will you prompt next?

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Press Release

Malaysia’s AI Future Takes Centre Stage as World AI Show Returns for Its 48th Global Edition

Published

13 hours ago

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August 13, 2026

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Kuala Lumpur, 13 August 2026, ZEX PR WIRE — Artificial intelligence has moved beyond being an emerging technology to become a defining pillar of Malaysia’s economic and digital ambitions. As the country accelerates investments in AI infrastructure, sovereign cloud capabilities, and enterprise-wide transformation, the focus has shifted from experimentation to execution. Against this backdrop, World AI Show Malaysia returns for its 48th Global Edition on 9–10 September 2026 at DoubleTree by Hilton Kuala Lumpur, Malaysia, convening the policymakers, enterprise leaders, technology pioneers, investors, and innovators who are shaping the country’s next chapter of AI-led growth. 

Presented by Trescon, World AI Show Malaysia carries this year’s tagline, “Where Malaysia’s AI Decisions Get Made.” As the country transitions into a strategic AI hub for Southeast Asia and organisations across both the public and private sectors define their AI roadmaps, modernise digital infrastructure, and establish governance frameworks for responsible innovation, the event will provide an executive platform dedicated to meaningful dialogue, strategic partnerships, and commercially relevant outcomes. 

The programme has been curated to address the opportunities and complexities surrounding enterprise AI adoption, sovereign cloud, intelligent infrastructure, cybersecurity, data governance, and responsible AI implementation. Over two days, attendees will engage through keynote addresses, executive panel discussions, fireside conversations, invitation-only boardroom sessions, technology showcases, curated networking engagements, and business meetings designed to facilitate knowledge exchange and cross-sector collaboration. 

The conference will feature an impressive line-up of distinguished government and industry leaders, including: 

  • Budiman Bujang, Deputy Chief Digital Officer, Johor Corporation 

  • Ts. D. Jackson Raao, Principal Assistant Secretary, Ministry of Science, Technology and Innovation (MOSTI) 

  • Jamie Tan, Managing Director, JLL Malaysia 

  • Ganeshbabu Nagarajan, Executive Director – Transformation Programmes, Standard Chartered Bank 

  • Chua Yong Howe, Chief Digital Officer, UEM Edgenta Berhad 

  • Shahrin Oli Mohamed, Group Chief Technology Officer, Pos Malaysia Berhad 

  • Keeratpal Singh, Chief AI and Data Officer (APAC Financial Services), Worldline 

  • Dr. Sadesh Manikam, Executive Vice President, Enterprise Data Office & Data Protection Officer, Bursa Malaysia 

  • Ts. Zairil Anuar Ahmad, Chief Technology Officer, Co-opbank Pertama 

  • Ahmad Faiz, Head – Data & AI, Global Technology Unit, BASF 

  • Raunak Mehta, Chief Executive Officer, Igloo 

  • Muhammad Najib Masdan, Senior Vice President, Khazanah Nasional Berhad 

  • Ts. Narayanan Chidambaram, Head Project Engineering Pod (Technology & Digital PE&T – Digital Project Management) PETRONAS 

  • Mohamed Aafrin, Director of Engineering, DKSH 

  • Sudeep Srivastava, Head – KL IT Center SLB (Schlumberger)  

  • Hong H. Ong, Director of Digital Technology, Labuan Financial Services Authority 

  • Mohd Hanapi Bisri, Senior Digital Industry Leader- Oil & Gas 

  • Dario Bianchi, Chief Product Officer, Mindvalley 

  • G Saravanan, Chief Information Officer, National Cancer Society Malaysia 

 

Reflecting on Malaysia’s AI trajectory, Ts. D. Jackson Raao, Principal Assistant Secretary, MOSTI, said: 

“Malaysia is at a pivotal stage where artificial intelligence is becoming a key driver of national transformation. As we accelerate AI adoption across industries, our focus must remain on responsible innovation, robust governance, strong cybersecurity, and developing a future-ready talent ecosystem. By doing so, Malaysia is well-positioned to emerge as a trusted regional leader in safe and sustainable AI innovation.”

An ecosystem of public sector and technology organisations is supporting this year’s edition. CyberSecurity Malaysia joins as the Supporting Partner, reinforcing the importance of building a secure and trusted digital ecosystem. 

Datadog joins as the Lead Sponsor, Magure as the Platinum Sponsor, Bitdeer AI as the Gold Sponsor, and Alibaba Cloud and Unison Consulting Sdn Bhd as Bronze Sponsors. The exclusive CXO Boardroom sessions will be powered by Zoom and Datadog, while CloudSpace will participate as an exhibitor, showcasing cloud and AI capabilities to enterprise decision-makers. 

Designed exclusively for senior executives, government representatives, and technology leaders, World AI Show Malaysia 2026 will provide a platform where strategic priorities are translated into actionable partnerships, investment opportunities, and real-world AI deployments. As Malaysia continues to strengthen its position within the regional AI landscape, the summit is set to become a key meeting point for organisations shaping the future of intelligent enterprise across Southeast Asia. 

CLAIM YOUR DELEGATE PASS:  Click here

For sponsorship opportunities, speaking engagements, or attendance information, please contact: 

Shrikanth Prabhu
Commercial Director 
Email: prabhu@tresconglobal.com 
Mobile: +91 8660115892

Media Contact: 
Reeha Haris 
Media & PR Executive
Email: reeha@tresconglobal.com 
Mobile: +91 8848655312 

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Press Release

Phomemo Expands Tattoo Stencil Printer Solutions to Support Professional Artists Evolving Workflows

Published

14 hours ago

on

August 13, 2026

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New York, New York, United States, 13th Aug 2026 – Phomemo, a global creative printing brand specializing in thermal printing solutions, has expanded its tattoo stencil printer lineup with two new solutions — the Phomemo TA81 Large-Format Tattoo Stencil Printer and Phomemo L85 Smart Touchscreen Tattoo Stencil Printer — designed to support the evolving needs of professional tattoo artists.

From large-scale body art preparation to everyday studio workflows, different tattoo projects require different printing solutions. While some artists prioritize portability and flexibility, others need tools that can handle full-length designs, customized layouts, and more efficient preparation processes.

Alongside established models including the M08F-WS and M08F Plus, Phomemo’s expanded tattoo printer lineup provides artists with multiple options based on their creative style, workflow, and studio needs.

Choosing the Right Tattoo Stencil Printer Matters

For tattoo artists, stencil preparation is an important step between digital design and the final artwork on skin. A reliable tattoo stencil printer can help artists maintain design accuracy, reduce preparation time, and create a smoother workflow before each session.

However, different tattoo styles create different challenges.

Artists specializing in fine details may prioritize clear and portable printing solutions, while those creating sleeves, back pieces, or large-scale compositions often face a different challenge: preparing oversized stencils without manually assembling multiple sections.

Phomemo’s tattoo stencil printer solutions are designed around these different creative scenarios.

Phomemo TA81: A Large-Format Tattoo Stencil Printer Built for Complex Designs

For artists who regularly create full sleeves, back pieces, legs, or other large-scale tattoo projects, stencil preparation can become one of the most time-consuming parts of the workflow.

Traditionally, oversized tattoo designs often require artists to print multiple stencil sheets, trim edges, align different sections, and carefully transfer the assembled design onto the skin. While this approach can work, maintaining accuracy across a large composition can add extra preparation steps and increase the risk of misalignment.

The Phomemo TA81 was designed to address this challenge with continuous, variable-length stencil printing.

Unlike standard sheet-based printing methods, the TA81 uses a roll-fed system that allows artists to print large tattoo designs in one continuous piece. For full sleeves, back pieces, spine designs, or other extended compositions, artists can create a complete stencil without manually cutting and joining multiple sections.

This one-piece printing workflow helps maintain design continuity and makes stencil preparation more efficient for complex tattoo projects.

Beyond size capability, the TA81 focuses on reducing waste during professional workflows. Its variable-length printing system allows artists to print only the required length for each design rather than relying on fixed-size sheets. For busy studios handling multiple projects, this can help optimize transfer paper usage during daily operations.

The TA81 also features Phomemo’s wrinkle-resistant printing technology, designed to help keep transfer paper flat during longer printing processes. Combined with an upgraded print head and edge-stabilizing design, the printer helps deliver consistent and clear stencil lines throughout the entire design.

With Bluetooth and USB connectivity support, the TA81 can connect with smartphones, tablets, laptops, and desktops across Android, iOS, Windows, macOS, and ChromeOS systems, giving artists flexibility when preparing designs.

Through the Phomemo App, artists can adjust designs, preview tattoo layouts, split large images, manage transfer settings, and prepare files before printing.

Phomemo L85: Smart Touchscreen Control for a More Customized Workflow

While large-scale artists may prioritize printing size and efficiency, other tattoo professionals look for a more interactive and customizable stencil preparation experience.

The Phomemo L85 is designed for artists who prefer a smarter workflow with direct control through an integrated touchscreen.

Featuring a 5-inch touchscreen with six language options, the L85 allows artists to manage printing tasks directly from the device. Functions such as template selection, brightness adjustment, print mileage tracking, battery information display, timer settings, sensor calibration, and self-testing can be accessed without relying entirely on another device.

For artists working with different tattoo styles and design formats, flexibility is also important. The L85 supports multiple print sizes, including Letter, A4, B5, A5, and additional width options, allowing artists to prepare different stencil layouts based on their projects.

The L85 also works with the Phomemo App ecosystem, providing creative and editing tools such as image transformation, tattoo extraction, line-art conversion, tattoo preview, and large-image splitting.

Optional AI-assisted features, including AI image generation and tattoo extraction, are designed to support artists during the preparation stage by helping explore ideas, refine concepts, and improve workflow efficiency — while keeping the artist’s own creativity and craftsmanship at the center of the design process.

Portable Tattoo Stencil Solutions: M08F-WS and M08F Plus

For artists who prioritize mobility, Phomemo also offers portable tattoo stencil printer solutions designed for flexible everyday workflows.

The Phomemo M08F-WS provides a lightweight wireless printing solution for artists who need a compact setup. Supporting Bluetooth connectivity and multiple operating systems, it allows artists to prepare tattoo stencils from smartphones, tablets, laptops, and desktops.

The Phomemo M08F Plus builds on this portable concept with a smarter touchscreen experience. Its built-in touchscreen supports functions including brightness adjustment, auto shutdown, calibration, and self-test printing, helping artists complete basic operations directly from the printer.

With thermal printing technology, both models eliminate the need for ink cartridges while providing a convenient solution for tattoo stencil preparation. Through the Phomemo App, artists can access editing tools, stencil generation, previews, and other workflow features designed to simplify the transition from digital artwork to physical stencil.

Choosing the Right Phomemo Tattoo Stencil Printer

Every tattoo artist has a different creative workflow, and the ideal tattoo stencil printer depends on the type of work being created. All can be found on Phomemo’s official site.

Artists working on large-scale compositions such as sleeves and back pieces may benefit from the Phomemo TA81’s continuous full-length printing capability.

Artists looking for a smart, customizable printing experience can explore the Phomemo L85 with touchscreen control and flexible print options.

Artists who need a portable solution for everyday stencil preparation can choose between the lightweight M08F-WS and the upgraded M08F Plus.

By developing tattoo stencil printers for different artistic scenarios, Phomemo continues to help tattoo professionals simplify preparation, improve efficiency, and focus more on the creative process.

About Phomemo

Phomemo is a global creative printing brand dedicated to making everyday printing simple, enjoyable, and accessible. Backed by over 12 years of expertise in thermal printing technology and trusted by over 40 million users worldwide, Phomemo continues to develop the evolution of smart printing. From home organization to global e-commerce, Phomemo lowers the barrier to professional results, enabling ideas and commerce to flow freely.

Media Contact

Organization: Phomemo

Contact Person: Alicia Chen

Website: https://phomemo.com

Email:
influencerscenter@phomemo.com

City: New York

State: New York

Country:United States

Release id:48084

The post Phomemo Expands Tattoo Stencil Printer Solutions to Support Professional Artists Evolving Workflows appeared first on King Newswire. This content is provided by a third-party source.. King Newswire makes no warranties or representations in connection with it. King Newswire is a press release distribution agency and does not endorse or verify the claims made in this release. If you have any complaints or copyright concerns related to this article, please contact the company listed in the ‘Media Contact’ section

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Press Release

SBCFX to Showcase Trading Innovation, Regional Growth Strategy, and Future Vision at iFX EXPO Asia 2026

Published

14 hours ago

on

August 13, 2026

By

Hong Kong, Hong Kong, August 13th, 2026, FinanceWire

SBCFX has announced its participation in iFX EXPO Asia 2026, one of the leading B2B exhibitions for the online trading, fintech, and financial services sectors. 

Scheduled to take place on 8–9 October 2026 at the Hong Kong Convention and Exhibition Centre (HKCEC), the event is expected to attract a diverse range of industry stakeholders, including brokers, traders, investors, Introducing Brokers (IBs), affiliates, fintech companies, liquidity providers, and financial services professionals from across Asia and beyond. 

As part of its ongoing international expansion strategy, SBCFX will showcase its integrated trading ecosystem, including the MetaTrader 5 (MT5) platform, multi-asset CFD trading capabilities, institutional-grade liquidity services, and its latest digital trading solutions. The company will also use the exhibition as a platform to share its growth strategy, technology roadmap, and long-term vision for the evolving global trading landscape. 

“iFX EXPO Asia represents an important opportunity for SBCFX to strengthen its engagement with the Asian trading community and further expand its regional network,” said David, CEO of SBCFX. 

“Our ambition is to become one of the most trusted global trading brands by bridging technology, education, and market access. We believe the future of online trading is not only about faster execution and better tools, but also about creating an ecosystem where traders, partners, and institutions can grow together. iFX EXPO Asia provides the perfect platform for us to share this vision and connect with the industry.” 

Driving Innovation While Building a Sustainable Trading Ecosystem 

Technology and innovation remain central to SBCFX’s long-term development strategy. The company continues to invest in digital infrastructure, trading technology, and client-focused solutions designed to enhance trading efficiency and improve user experience across global markets. 

Alongside its trading services, SBCFX will soon introduce a new mobile trading application that will provide clients with convenient access to account management, market information, trading tools, and platform services through a unified interface. The upcoming launch reflects the company’s ongoing efforts to improve accessibility and streamline the trading experience for users worldwide.   

Looking ahead, SBCFX remains focused on developing innovative solutions that support traders at every stage of their journey while strengthening connections between retail investors, institutional partners, and the broader financial ecosystem. By combining advanced technology with a client-centric approach, the company aims to create a smarter, more connected trading environment that adapts to the evolving needs of modern market participants. 

During the two-day event, SBCFX representatives will engage with prospective clients, Introducing Brokers, institutional partners, and technology providers to explore strategic collaborations and support the company’s continued growth across Asia. 

Meet SBCFX at Booth 37 

SBCFX welcomes individual traders, Introducing Brokers, affiliates, fintech firms, liquidity providers, institutional investors, and technology partners to visit Booth 37 and learn more about the company’s products, services, and strategic development plans. 

Visitors to the booth will have the opportunity to meet members of the SBCFX team, explore the company’s latest initiatives, and receive a selection of exclusive SBCFX promotional gifts and event merchandise available throughout the exhibition while supplies last. 

To facilitate more in-depth discussions and personalised consultations, attendees are encouraged to schedule a one-on-one meeting with the SBCFX team in advance via the following booking link: 

https://forms.cloud.microsoft/r/QwRd66ZmQa 

Event Details 

Event: iFX EXPO Asia 2026 

Date: 8–9 October 2026 

Time: 10:00 AM – 6:00 PM 

Venue: Hong Kong Convention and Exhibition Centre (HKCEC), Hong Kong 

Booth: 37 

For media enquiries or further information, please contact SBCFX at cs@sbcfx.com. 

About SBCFX 

SBCFX is a global financial services provider committed to delivering innovative online trading solutions supported by advanced technology, institutional-grade liquidity, and exceptional client service. Through continuous investment in technology, regulatory compliance, and strategic partnerships, SBCFX provides access to a wide range of global financial markets while empowering traders, Introducing Brokers, affiliates, and institutional partners to achieve long-term success. 

With a vision to become a trusted global brokerage, SBCFX remains dedicated to transparency, innovation, and sustainable growth, delivering world-class trading solutions to clients around the world. 

Contact

Marketing Executive
Kit Cheung
SBCFX
marketing@sbcfx.com

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