西风 鹭羽 发自 凹非寺 量子位 | 公众号 QbitAI 刚刚，陶哲轩与多名数学家通力合作，为Erdős #1026正式画上了句号 。 至此，这个尘封50年的难题终于得到完全解决。 关键是，AI又立大功了。在多种AI工具的辅助下，整个解题流程仅用 48小时 便完成。 博采众家&AI之长，正在成为解决问题的关键。 正如陶哲轩本人所说： 用传统方法，一两位数学家用简单的编程和文献检索工具，最终也能完成， 但可能需要数周或者数月才能解决 。 陶哲轩随后亲自梳理并公开了此次问题被解决的完整过程。 消息传出后，网友纷纷感叹"太酷了"： 一起来看看他们究竟是如何解决的？ 48小时解决Erdős #1026 Erdős #1026 问题最早在1975年被提出，初始问题为： 但该问题表述相当模糊，于是数学家Desmond Weisenberg提议对这个函数的最小可能值进行研究，引入一个最大常数的量c(n)，使得： $$S(x_{1},\ldots,x_{n})\geq c(n)\sum_{i=1}^{n}x_{i}$$ 其中c(n)是所有长度为n的不同实数序列。 如果用 博弈论 来解释该问题，那么就是： 假设Alice有N ...

Product Update - OpenAI introduces credits for Codex on ChatGPT Plus and Pro, offering more flexible usage beyond subscription limits [1] - This credit system is expected for compute-intensive features, maintaining low subscription prices for most users [1] - Codex rate limits have been reset for all users [2] Strategy - The company aims to keep subscription prices low for most users while allowing others to increase usage through credits [1]

If you're like me, you've probably been seeing a lot of videos like these. Sometimes making you question if what you're seeing is even real. With Sora.I can be in places like this. We're like this. Let's break down how you can.Two. But first little disclaimer. I.So to get the Sora app on iOS, you can find it in the App Store. Go ahead and type in Sora or Sora by open AI. And go ahead and install it Unfortunately, at the time of the recording of this video, Sora is not available on Android devices.You can, h ...

I did not expect such fun dynamics to emerge from being able to "put yourself and your friends in videos" but I encourage you to check it out!ChatGPT Pro subscribers can generate with Sora 2 Pro.Longer post coming in a minute. ...

Core Viewpoint - OpenAI is planning to establish a large-scale data center in India as part of its strategy to tap into the country's vast market of 1.45 billion people, despite recent tensions between the US and India over tariff issues [1][7]. Group 1: Investment Plans - OpenAI is looking for local partners in India to build a data center with a minimum capacity of 1 gigawatt (GW) [1]. - This facility is expected to be one of the largest data centers in India, following significant investments from other tech giants like Microsoft and Alphabet [2]. - Microsoft announced an additional investment of $3 billion in India for data centers, while Alphabet plans to invest $6 billion in a 1 GW data center, including $2 billion for renewable energy [2]. Group 2: Market Strategy - OpenAI's CEO, Sam Altman, is expected to announce the construction plan during his visit to India this month [3]. - In August, Altman revealed that India is OpenAI's second-largest market for users, following the US, and could soon become the largest [5]. - To capitalize on this trend, OpenAI launched a market-specific subscription plan, ChatGPT Go, priced at 399 Indian Rupees (approximately 32.22 RMB), which offers enhanced features compared to the traditional ChatGPT Plus [5][6]. Group 3: Competitive Landscape - The introduction of ChatGPT Go comes amid intense market competition, with OpenAI's user base in India growing fourfold compared to the previous year, although it still lags behind Perplexity AI, which saw a 640% increase in monthly active users [6]. - OpenAI's "Star Gate" project aims to establish partnerships globally, with interest expressed from 30 countries, and is part of a broader strategy to expand its presence in Asia [7].

Group 1 - OpenAI launched a new subscription plan, ChatGPT Go, in India priced at 399 Indian Rupees per month, making it the lowest-priced option available, aimed at enhancing its market presence in India [1] - The ChatGPT Go plan allows users to send 10 times the number of messages compared to the free version, generate up to 10 times the images, and has increased file upload and memory capacity [1] - India is now OpenAI's second-largest market, with over 29 million downloads of the ChatGPT app in the last 90 days, although revenue from Indian users remains low at 360,000 USD [2] Group 2 - The competitive landscape in India's AI market is intensifying, with companies offering lower-priced subscription plans to attract price-sensitive consumers [2] - OpenAI's recent collaboration with Grammarly resulted in a significant price reduction for Indian users, with Grammarly's monthly fee dropping to 250 Indian Rupees, nearly 75% lower than global prices [2] - Other competitors, including Google and Perplexity, are also adopting aggressive pricing strategies, with Google offering free access to advanced AI tools and cloud storage in India [2][3] Group 3 - The pricing competition reflects a growing recognition that the Indian market cannot sustain subscription levels similar to those in Western countries [3] - The low labor costs in India necessitate a pricing model for AI services that aligns with local economic conditions, as high costs without significant efficiency gains will deter adoption [3]

Core Insights - OpenAI has launched a new subscription plan called "ChatGPT Go" in India, priced at 399 INR (approximately $4.57) per month, making it the cheapest paid subscription to date [1] - The new plan offers expanded access to the latest model GPT-5 and other premium features at a significantly lower cost compared to existing plans [1] - The introduction of ChatGPT Go aims to attract price-sensitive users and is part of OpenAI's strategy to leverage India's large user base as a testing ground for pricing strategies [3] Pricing Strategy - ChatGPT Go is positioned as an attractive entry point for users seeking advanced features at a lower cost, compared to the existing ChatGPT Plus at 1999 INR and ChatGPT Pro at 19900 INR [1] - The plan provides ten times the message sending limit, image generation, and file upload capabilities compared to the free version, along with double the memory [1] Market Expansion Intent - OpenAI's decision to launch the low-cost plan in India reflects a strategic intent to convert free users into paid subscribers, which could inform future expansions into other emerging markets [3] - The company views India as a critical market, with the potential to become its largest user base, following discussions between CEO Sam Altman and Indian officials regarding the development of a low-cost AI ecosystem [3]

Core Insights - OpenAI has launched a subscription-based AI application called ChatGPT Go in India, priced at 399 INR (approximately $4.57) per month, making it the company's most affordable AI subscription product to date [1][2] - The launch aims to deepen OpenAI's presence in India, the world's second-largest market, which has nearly one billion internet users [1][2] - ChatGPT Go allows users to send up to ten times more messages and generate ten times more AI text and images compared to the free version, with improved response times [1][2] Pricing and Market Strategy - The top-tier ChatGPT Pro is priced at 19,900 INR per month, while the mid-tier ChatGPT Plus costs 1,999 INR [2] - OpenAI's CEO, Sam Altman, has indicated that India could soon become the largest market for the company, following discussions with the Indian government about creating a lower-cost AI ecosystem [2][5] - The Go plan is designed for Indian users who wish to utilize advanced AI features at a more affordable price [1][2] User Engagement and Growth - OpenAI reported over 700 million active users globally, a significant increase from 500 million in March [5] - India has been a leading contributor to ChatGPT app downloads, with over 29 million downloads in the past 90 days, although revenue from Indian users during this period was approximately $3.6 million [5][6] - The introduction of the Go plan is expected to drive higher subscription rates among Indian consumers [6] Competitive Landscape - Other AI companies are also targeting the Indian market, with initiatives like free subscription services to attract users [6] - OpenAI's localized pricing strategy may enhance the conversion rate of ChatGPT subscriptions in India [6] Financial Outlook - OpenAI is valued at $500 billion, with expectations of doubling its revenue to $12.7 billion this year [7] - The company anticipates revenue of approximately $3.7 billion in 2024, following the anticipated release of the GPT-5 AI model [7] Industry Trends - The AI application sector is experiencing a "super bull market," driven by advancements in generative AI applications [8] - Companies are increasingly focusing on generative AI and AI agents, which are expected to become a major trend by 2030 [8]

Core Insights - OpenAI has launched ChatGPT Go, a new subscription plan specifically for the Indian market, priced at 399 INR per month, making it the company's most affordable option [1][3] - The initiative aims to expand OpenAI's influence in India, which is its second-largest user market after the United States [1][3] Market Strategy - Many global companies introduce more affordable subscription plans when entering the Indian market to cater to the price-sensitive consumer base [3] - India, with nearly one billion internet users, presents a vast market opportunity for various internet services [3] Subscription Features - ChatGPT Go allows users to send up to 10 times more messages and generate more images compared to the free version, along with faster response times [3] - Higher subscription tiers will further increase message limits [3] Competitive Pricing - The highest subscription plan, ChatGPT Pro, is priced at 19,900 INR (approximately 1,636 CNY), while the mid-tier ChatGPT Plus costs 1,999 INR (approximately 164.3 CNY) [3] Future Outlook - OpenAI's CEO, Sam Altman, has discussed plans for creating a low-cost AI ecosystem in India and indicated that India may soon surpass the U.S. as OpenAI's largest user market [3]

Core Viewpoint - The article emphasizes the growing trend of companies implementing "AI stipends" to enhance employee engagement with AI tools, allowing employees to choose suitable AI resources independently, thus facilitating the integration of AI into organizational workflows [1][9]. Group 1: Definition and Importance of AI Stipends - AI stipends are employer-funded benefits that provide employees with a fixed amount to purchase AI tools, applications, training, or services that enhance productivity and career development [14]. - The significance of AI stipends is underscored by a 2025 CEO study indicating that 54% of CEOs are hiring for AI-related positions that did not exist a year prior, highlighting the urgent need for HR to upskill existing employees [16]. - AI stipends offer a structured and autonomous way for employees to experiment and learn about AI, addressing the skills gap that poses a survival risk for companies [17]. Group 2: Benefits for Employees - AI stipends support personalized learning and tool acquisition, allowing employees to select tools that best fit their roles, such as marketing or analysis [18]. - By providing access to AI resources and training, employees feel supported, which boosts their confidence in using AI [19]. - Offering pathways for skill enhancement during uncertain times demonstrates a commitment to employee growth and resilience [20]. Group 3: Benefits for Employers - AI stipends help avoid tool confusion by centralizing AI spending while still allowing employees the freedom to experiment [21]. - The return on investment (ROI) for AI initiatives is higher when employees choose relevant tools compared to traditional enterprise licensing methods [22]. - Companies like Buffer have reported that employees familiar with AI are twice as likely to recommend their company to others, enhancing talent attraction [23]. Group 4: Implementation and Usage - Common uses of AI stipends include purchasing AI tools, online courses, and hiring AI experts to assist in workflow automation [28]. - Feedback from users indicates that AI stipends significantly impact their productivity and support their experimentation with new tools [30]. Group 5: Tax Implications and Guidelines - AI stipends may be subject to taxation depending on their design, with some employers opting to treat them as taxable benefits to simplify management and avoid audit risks [30][33]. - Suggested amounts for AI stipends range from $20 to $50 monthly or $250 to $500 annually, depending on the level of support and innovation desired [33].