Google Beat OpenAI in a Day

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🧮 Google DeepMind Solves Nine Erdős Problems One Day After OpenAI Claimed Its Own

Google DeepMind's AlphaProof Nexus solved nine open Erdős problems including two unsolved for 56 years, arriving just a day after OpenAI announced it had disproved an 80-year-old Erdős conjecture.

The Decode:

Machine-Verified Proofs at Scale - The system pairs an LLM with Lean proof assistant to generate fully verified proofs across combinatorics and graph theory, with each problem costing just a few hundred dollars to solve.

44 More Conjectures on Top - Beyond the nine Erdős problems, AlphaProof Nexus also proved 44 open conjectures from the Online Encyclopedia of Integer Sequences, showing this is a repeatable capability not a one-off result.

It Still Has Limits - A simpler agent version matched the results but cost more, and problems requiring entirely new mathematical constructions remained out of reach, meaning creative mathematical invention is still beyond the system.

The Timing Says Everything - OpenAI claimed its Erdős breakthrough last week after previously walking back a 10-problem claim months earlier. Google dropping nine verified solutions the next day makes the AI maths race impossible to ignore.

Two companies are solving problems that stumped mathematicians for decades at a few hundred dollars each. Mathematics is becoming the first field where AI provably exceeds what humans achieved alone.

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📅 How to Build a Content Calendar Inside AppFlowy

AppFlowy lets you turn everything into one visual workflow just like Notion, where ideas, drafts, schedules, and publishing all happen inside the same workspace.

Step 1: Create a new database page Open AppFlowy, click New Page, then create a Database called “Content Calendar.”

Step 2: Add your workflow fields Create columns like Platform, Status, Publish Date, Owner, and Content Type to organize every post.

Step 3: Turn it into a Kanban board Switch the database to Board View and group by Status with stages like Idea, Drafting, Review, Scheduled, and Published.

Step 4: Open each card as a working doc Click any content card and write the actual hook, caption, script, research, and creative notes directly inside the page.

Step 5: Add Calendar View for scheduling Create a Calendar View connected to the Publish Date field so your entire posting schedule becomes visual.

Step 6: Use AI to speed up creation Use AppFlowy AI to rewrite hooks, summarize research, brainstorm ideas, or clean up drafts without leaving the workspace.

Once the setup is done, AppFlowy becomes your entire content operating system. Your team can plan campaigns, track progress, write posts, and manage publishing from one place instead of constantly switching between tools. You can try AppFlowy here. 

🔐 Anthropic says AI is now finding software flaws at massive scale

Anthropic shared the first results from Project Glasswing, revealing that Claude Mythos Preview and partner organizations uncovered thousands of critical vulnerabilities across major infrastructure, open-source software, and enterprise systems in just one month.

The Decode:

Bug discovery accelerated sharply - Anthropic said partners collectively identified more than 10,000 high and critical vulnerabilities, with several organizations reportedly increasing their bug-finding rates by over ten times using Mythos Preview.

Large platforms patched aggressively - Cloudflare reportedly found 2,000 bugs with strong precision rates, while Mozilla discovered and fixed 271 Firefox vulnerabilities, significantly more than earlier Claude-powered security testing runs.

AI scanned internet infrastructure - Anthropic used Mythos Preview to scan over 1,000 open-source projects, flagging 6,202 high or critical vulnerabilities, with independent reviewers later validating thousands of those findings.

Mythos moved beyond bug hunting - Anthropic said one partner bank used Mythos Preview to detect and block a fraudulent $1.5 million wire transfer after attackers compromised a customer’s email account and spoofed calls.

Anthropic is showing how quickly AI is changing cybersecurity from manual investigation into large-scale automated vulnerability discovery. The new bottleneck is no longer finding software flaws, but verifying, patching, and responding to them fast enough.

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Your Next 1,000 Customers Are Already Here

Pouring more money into ads won’t fix flat growth. The real leverage is hiding inside the customers you already have, and every day you wait, that momentum leaks away.

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🤝 Form trust-based partnerships fast using the Partnership MoU and 50-template Outreach Library to unlock new audiences without paid ads.

Your current customers are the growth engine. 

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🏆 Tools you Cannot Miss:

🕵️ BSmeter – Analyzes videos and content in real time to flag weak claims, surface sources, and expose misinformation as you watch.

⚙️ Adapt – Connects company systems so teams can ask questions, automate workflows, schedule tasks, and build apps from live business data.

💸 FlipTip AI – Scans items with your phone and instantly checks resale platforms to see whether they can flip for profit.

🗣️ Lingle – Uses AI tutoring to help users improve language skills with personalized and optimized learning experiences.

📄 Resumedit – Tailors resumes to specific job descriptions with AI-powered keyword matching and ATS optimization.

🚀 Quick Hits

🇺🇸 The White House requested $9 billion to expand AI infrastructure for U.S. intelligence agencies, aiming to buy Nvidia Grace Blackwell chips after reports that the CIA and NSA lack enough compute capacity for advanced AI models.

🔍 Google’s new AI-first Search experience is surfacing awkward failures, with simple queries like “disregard” showing giant empty AI summary blocks instead of useful dictionary results, making Bing temporarily more useful for basic search. 

🔐 Anthropic is expanding Project Glasswing access, letting qualifying customers use Claude Mythos security tools like threat model builders and vulnerability harnesses, while also publishing Mythos-discovered open-source vulnerabilities publicly. 

💸 DeepSeek slashed V4-Pro pricing by 75%, dropping costs to just $0.435 per million input tokens and $0.87 output tokens, massively undercutting most closed-source AI competitors.

🛡️ Perplexity open-sourced Bumblebee, a macOS and Linux security scanner that detects risky packages, browser extensions, and unsafe AI tool configurations during software supply-chain attacks.

🧩 Prompt of the Day

Product Naming Workshop That Creates Memorable Brands

Most product names sound generic or forgettable. Strong names align with brand identity, stand out in the market, and instantly create the right emotional association.

Turn naming into a strategic advantage, not a last-minute task.

Paste the prompt: Drop this into ChatGPT, then fill in your product details.

Prompt to paste

Create a product naming workshop for [Insert product or category]. Define the brand alignment criteria, including tone, positioning, audience appeal, memorability, simplicity, and differentiation from competitors. Generate multiple product name ideas across different styles such as modern, premium, playful, descriptive, or minimalist. Include a customer feedback plan using surveys, polls, interviews, or social testing to evaluate which names resonate most strongly. Focus on choosing a name that is distinctive, brand-aligned, and easy for customers to remember and trust.

🤳AI Nugget of the Day

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