Claude cracks 87-year-old math problem

Claude cracks 87-year-old math problem Claude cracks 87-year-old math problem ALSO: How to build and publish websites with ChatGPT Sites Jul 21, 2026 Welcome back, Superhuman. The singularity is inching closer. In May, ChatGPT helped disprove an 80-year-old Erdős conjecture. Just a month later, Claude has answered with a major math win of its own, disproving a problem that’s stumped human researchers for nearly a century. Today: Google is embedding Gemini in chips, how to build and publish websites with ChatGPT Sites, and get the latest prompts and trending social posts. Learn how Levent Alpöge used Claude Fable 5 to disprove an 87-year-old math problem. Source: Glitchwire. 1. Claude Fable 5 helps crack a math problem open since 1939: Anthropic researcher Levent Alpöge — a Harvard-trained mathematician — posted a counterexample to the Jacobian Conjecture with help from Claude Fable 5. Alpöge’s result was verified by several prominent mathematicians, including Stanford’s Jared Duker Lichtman. The milestone highlights AI’s growing prowess in math, especially when wielded by top minds. Read more. 2. Google is reportedly embedding Gemini right into its next-gen chips: Alphabet is working on "Frozen v2," a new chip that bakes parts of its Gemini model straight into the silicon. The new design would reduce the amount of data required to answer queries, potentially making it 6X to 10X more efficient at serving AI responses than the company's current TPUs. The new chip is aimed at easing a major internal compute shortage, although it’s not expected to ship until 2028. 3. Washington's AI safety office gets another leadership change: Dr. Chris Fall has stepped down as director of the Center for AI Standards and Innovation, the federal agency that stress-tests AI models for risks like cyberattacks. It’s the third person to lead the office in three months: Collin Burns lasted four days, Fall served for three months, and now National Institute of Standards and Technology Director Dr. Arvind Raman is stepping in as acting director. GUIDE: The top 30 Slack automations for productivity Slack powers over 3 million workflows everyday. And with Slack’s new Workflow Builder, teams can build unique automations and increase productivity by ~35%. No coding required: About 80% of Slack Workflow Builders are non-technical users, meaning you can automate your sales, marketing, customer service, IT, and more with just clicks. The results?

Wayfair saves 25,000 hours annually

Canva's finance team saves nearly 64 hours/week

Sony saves 400+ hours a year

Sony saves 400+ hours a year And new AI tools, keyword triggers, and Salesforce integrations makes automating easier than ever before. See the guide 30 Ways to Automate Work in Slack here. Open-weight models are having a moment, but they still won’t solve AI’s biggest bottleneck Made with Midjourney China closes the frontier gap. Two Chinese labs just unveiled frontier-level models at a fraction of traditional costs: Moonshot AI’s Kimi K3 and Alibaba’s Qwen 3.8. In theory, it’s exactly the kind of release that should bring cheaper intelligence to everyone and help ease AI's compute crunch. But in practice, the scenario is playing out much differently. Moonshot hits its compute limit. AI continues to experience a Jevons Paradox scenario, where people use models more frequently as they get cheaper. Moonshot AI just experienced this firsthand. Within 48 hours of launching, the lab was forced to pause new subscriptions after demand blew past its compute capacity. In theory, any organization can download Kimi K3’s weights once they become available and run the model locally. But there’s a major catch. Kimi K3 requires a specialized rig. You can’t run Kimi K3 on a laptop. The lab recommends using a "supernode” of 64 or more datacenter accelerators to run the model. And even if a company is ready to write the check, the chips aren't there to buy: ordering your own data-center GPUs today means waiting roughly 36 to 52 weeks for delivery, thanks to an industry-wide backlog. Compute is still the industry’s bottleneck. For now, AI’s limiting factor isn’t how capable the models are. It's getting the chips to run them. Fortunately, many labs are already working on one potential solution: smaller models that can run on hardware companies already own. How to build and publish websites with ChatGPT Sites

Open ChatGPT desktop app and switch to the ‘Codex’ tab

Click on ‘Sites’ in the left panel and select ‘Create new site‘

Describe what you want to build, or upload a file ChatGPT can use as context

Describe what you want to build, or upload a file ChatGPT can use as context Sample Prompt: @Sites Create a website to build an interactive project tracker for my marketing team. Include task owners, deadlines, priorities, progress, and filters for status.

ChatGPT will generate the first version of your Site based on your instructions

Continue editing the Site by telling ChatGPT what to change

Continue editing the Site by telling ChatGPT what to change Sample follow-up prompt: Add a dashboard showing completed, overdue, and upcoming tasks. Make the design cleaner and more professional.

Test the Site in the private preview before sharing it and click ‘Publish’ when the Site is ready

ChatGPT will generate a shareable URL you can send to teammates, clients, or stakeholders

ChatGPT will generate a shareable URL you can send to teammates, clients, or stakeholders 💡 Tip: Return to the same project whenever you need to update the Site. Describe the changes you want, preview them, and publish the updated version. Stop 30B+ threats with Prisma Browser for Business. Block AI-powered phishing and ransomware, manage team apps, and prevent sensitive data from leaking through AI tools—all from one secure workspace built by Palo Alto Networks. Start Free Trial What’s trending on socials today ✏ De-AI Your Writing: Want your LLM to sound more human? Try adding these 6 writing rules to your favorite chatbot’s instructions. They force it to use active voice, clear sentences, and avoid metaphors (10K bookmarks). 👀 Kimi in Action: Explore some of the truly insane projects people have already created using Kimi K3. Our favorites? An exploration-based video game, an Animal Crossing clone, and a 3D globe dashboard (1.5M views). 🦾 Best Models: This list breaks down which models are best for completing different tasks. It’s pulled in 4M views and 3K bookmarks, so the internet seems to agree with its choices. 📚Bookmark Worthy: This Claude Code skill racked up 39K bookmarks with a simple promise — it cuts the fluff out of AI’s answers. Try the skill here. 🤖 Ramp Router: Ramp cut its LLM costs by 30% with an internal tool that routes each request to the best model for the job. Cheap models for simple tasks, frontier models for hard ones. Now it’s opening the tool to the public. 5 New & Trending AI Tools

📽Synthesia: Create studio-quality videos with AI avatars and voiceovers

🤝Brainrot Shorts: Create viral faceless shorts with AI.

💁Deck: An AI assistant that works entirely over web and email.

🤖Skippr: Real-time agents that see, talk, and operate software.

💹Autoplot: Create versatile plots, and apply powerful analysis tools without the copy paste hassle.

💹Autoplot: Create versatile plots, and apply powerful analysis tools without the copy paste hassle. * indicates a promoted tool, if any Design a Practical Lead Scoring System

ChatGPT Prompt: You are a sales operations strategist.
Design a lead scoring system for the business below.

Context:
- Business model: [business model]
- Ideal customer profile: [icp]
- Lead sources: [lead sources]
- Funnel stages: [stages]
- Sales motion: [sales motion]
- Available data fields: [data]
- Current pain points: [pain points]

Instructions:
1. Recommend the right scoring dimensions such as fit, intent, engagement, and urgency.
2. Propose a simple scoring formula with weights.
3. Define score thresholds and what action each threshold should trigger.
4. Suggest how sales and marketing should use the score operationally.
5. Call out risks like false positives or overfitting.

Minimalist Ads Source: MrDasOnX

ChatGPT 2.0 Image: Minimalist commercial advertisement featuring an oversized [PRODUCT], ultra-clean premium design. A stylish young [MAN/WOMAN] wearing an all-white modern outfit casually interacts with the giant product in a relaxed, confident pose. [He/She] is holding or using the product naturally while looking calm and effortless. The oversized product is the main focal point of the composition.
Soft gradient [BACKGROUND COLOR] background with large bold white "[BRAND NAME]" typography positioned behind the subject. Glossy reflective floor creating subtle reflections. Soft diffused studio lighting with gentle shadows. Luxury fashion meets premium product photography, editorial campaign aesthetic, minimal composition, perfect visual balance, high-end advertising, clean negative space, ultra-realistic materials and textures, crisp details, professional color grading, premium branding, photorealistic, commercial photography, 85mm lens, shallow depth of field, centered composition, symmetrical layout.
Luxury commercial campaign by a world-class creative agency, award-winning art direction, ultra-clean studio environment, cinematic soft lighting, premium editorial photography, flawless product styling, realistic reflections, subtle ambient occlusion, physically accurate materials, impeccable craftsmanship, perfect proportions, premium luxury branding, iconic advertising aesthetic, magazine cover quality, minimalist sophistication, elegant visual hierarchy, ultra-realistic textures, HDR, hyper-detailed, razor-sharp focus, natural skin tones, professional retouching, high dynamic range, luxury color grading, polished finish, advertising masterpiece, photorealistic, 8K-quality aesthetic.
Small top-right text:
"Designed by [your name]"
Bottom-center tagline in small white font:
"[TAGLINE]"

Our most-clicked story from yesterday Lucy 2.5 is a new model that edits live video streams with barely any lag, letting you conjure up special effects on the fly. Watch the viral launch video here (4.5M views). Whenever you’re ready to take the next step

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Learn how to use AI at work and get certified with our free course Grow customers & revenue: Join companies like Amazon, HubSpot, and Salesforce. Showcase your product to our 1M+ readers and 2M+ followers on socials. Get in touch. What did you think of today's email? Loved it 🧠🧠🧠 It was ok 🧠🧠 Login or Subscribe to participate Until next time — Zain, Theodore, & the Superhuman AI team. Keep Reading Keep up with the latest AI news, trends, and tools in just 3 minutes a day. Join 1,500,000+ professionals. © 2026 Superhuman Newsletter. Privacy Policy Terms of Use