Entertainment
More than 300 Amazon Prime Day deals: Shop Roomba, Apple, Dyson, and other top brands before the sale ends tonight
Table of Contents
UPDATE: Oct. 9, 2024, 7:30 p.m. EDT This story has been updated with the best deals under $10 during the second day of the Prime Big Deal Days event.
Prime Big Deal Days is still going strong. Live now through Wednesday, Oct. 9, Amazon’s members-only “October Prime Day” sale presents shoppers with an opportunity to get an extra-early start on their holiday shopping before the chaos of Black Friday. (Head to our live blog to read all the latest coverage of the event.)
LIVE BLOG: Get the latest news on October Prime Day 2024
The retail giant is offering “millions of deals” over the course of the 48-hour sale, according to a press release, with new doorbusters arriving “as often as every five minutes” during certain portions of the sale — some totally worth it, some not. The Mashable Shopping team has almost 10 years of experience covering Prime events and knows how to comb through the noise, and we’ll be keeping track of the very best October Prime Day deals right here.
Prime Day deals you can shop right now
Products available for purchase here through affiliate links are selected by our merchandising team. If you buy something through links on our site, Mashable may earn an affiliate commission.
Best Apple deal
Why we like it
Read Mashable’s full review of the 13-inch Apple MacBook Air (M2).
“The 13-inch MacBook Air from mid-2022 is a Mashable Choice Award winner that combines “[rock]-solid battery life” with “a keyboard that’s to die for, and enough horsepower to handle everyday tasks with ease,” wrote tech and games reporter Alex Perry. It’s our current favorite ‘budget’ MacBook, and it’s now cheaper than ever before.
You can snag the base configuration with 8GB of RAM and 256GB of storage for $749, or $250 off its $999 MSRP. If it sells out on Amazon, check Best Buy: It was matching the deal at the time of writing.” — Haley Henschel, Senior Shopping Reporter
AirPods
AirTags and accessories
Apple Watches
-
Apple Watch SE, 2nd Gen (40mm, GPS) — $169.99
$249(save $79.01) -
Apple Watch SE (40mm, GPS + cellular) — $219.99
$299(save $79.01) -
Apple Watch SE (44m, GPS + cellular) — $249.99
$329(save $79.01) -
Apple Watch Series 9 (41mm, GPS) — $299
$399(save $100) -
Apple Watch Series 9 (45mm, GPS) — $329
$429(save $100) -
Apple Watch Series 10 (42mm, GPS) — $380
$399(save $19) -
Apple Watch Series 10 (46mm, GPS) — $405.99
$429(save $23.01) -
Apple Watch Series 10 (42mm, GPS + cellular) — $470.36
$499(save $28.64) -
Apple Watch Series 9 (45mm, GPS + cellular) — $599
$749(save $150) -
Apple Watch Ultra 2 (49mm, GPS + Cellular) — $734.89
$799(save $64.11)
iPads
-
Apple iPad, 10.2-inch (A13 Bionic, WiFi, 64GB) — $199
$329(save $130) -
Apple iPad, 10.9-inch (A14 Bionic, WiFi, 64GB) — $299
$349(save $50) -
Apple iPad mini, 8.3-inch (A15 Bionic, WiFi, 64GB) — $349.99
$499(save $149.01) -
Apple iPad Air, 11-inch (M2, WiFi, 128GB) — $546
$599(save $53) -
Apple iPad Air, 13-inch (M2, WiFi, 128GB) — $749
$799(save $50) -
Apple iPad Pro, 11-inch (M4, WiFi, 256GB)— $849$999 (save $150 with on-page coupon) -
Apple iPad Pro, 13-inch (M4, WiFi, 256GB) — $1,149
$1,299(save $150 with on-page coupon)
MacBooks
-
Apple MacBook Air, 13-inch (M3, 8GB RAM, 256GB SSD) — $849
$1,099(save $250) -
Apple MacBook Air, 15-inch (M3, 8GB RAM, 256GB SSD) — $1,044
$1,299(save $255) -
Apple MacBook Pro, 14-inch (M3, 16GB RAM, 1TB SSD) — $1,699
$1,999(save $300)
Best Amazon device deal
Why we like it
“The new Fire HD 8 has the same display, processor, 13-hour battery life, and storage options as the older model, but Amazon’s added a gig of extra RAM for “enhanced performance while streaming, gaming, browsing, or downloading photos and videos.” (Don’t expect it to be super powerful, but more memory never anyone.) Its rear camera has also gotten a bump from 2MP to 5MP, which should translate to slightly better shots. On the software side, its newly added generative AI features include Writing Assist, Webpage Summaries, and a Wallpaper Creator.
No need to upgrade if you already own the previous model, but those in need of a new portable, affordable tablet should consider short-listing this guy. The 32GB base model is on sale for $54.99 through Oct. 9 (the second half of Prime Big Deal Days), which works out to a 45% savings.” — Haley Henschel, Senior Shopping Reporter
More Amazon device deals
Echo smart speakers
Echo smart displays
Kindles
Fire tablets
Eero WiFi devices
Amazon service deals
Best laptop deal
For deals on MacBooks, scroll back up to the “Apple deals” section. For deals on gaming laptops, scroll down to the “Gaming deals” section.
Why we like it
Read Mashable’s full review of the 13-inch Microsoft Surface Laptop 7.
“This upgraded configuration of the new Surface Laptop 7 features a Snapdragon X Elite processor with 32GB of RAM and 1TB of storage. With M3 Macbook-beating performance, a battery life of just under 23 hours, and some new AI-powered features that ‘make Windows fun again,’ per tech editor Kim Gedeon, it’s easily the best laptop we’ve tried so far in 2024. Just make sure you won’t into any app compatibility issues with Windows on ARM.
It usually retails for $1,999.99, but Amazon has it on sale for $1,699.99 during Prime Big Deal Days — a new record low. Note that it was price-matched at Best Buy and in the Microsoft Store at the time of writing.” — Haley Henschel, Senior Shopping Reporter
More laptop deals
Windows laptops
-
Acer Swift Go 14 (Intel Core Ultra 7 155H, 16GB RAM, 512GB SSD) — $927.95
$999.99(save $72.04) -
LG gram 14 2in1 (Intel Core Ultra 5 125H, 16GB RAM, 512GB SSD)— $759.99$1,299.99 (save $540) -
LG gram Pro 16 2in1 (Intel Core Ultra 7 155H, 16GB RAM, 1TB SSD) — $1,099.99
$1,599.99(save $500) -
Asus Zenbook Duo (Intel Core Ultra 7 155U, 16GB RAM, 1TB SSD) — $1,274.99
$1,499.99(save $225)
Chromebooks
-
Asus Chromebook CX1 (Intel Celeron N4500, 8GB RAM, 64GB eMMC) — $189.99
$249.99(save $60) -
Lenovo IdeaPad 3i Chromebook (Intel Celeron N4500, 8GB RAM, 64GB eMMC) — $199.99
$289.99(save $90) -
Acer Chromebook 314 (Intel Processor N100, 4GB RAM, 64GB eMMC) — $199.99
$299.99(save $100) -
Acer Chromebook 516 GE (Intel Core i5-1240P, 16GB RAM, 256GB SSD) — $509.99
$599.99(save $90) -
Acer Chromebook Spin 514 (AMD Ryzen 5 5625C, 8GB RAM, 128GB eMMC) — $549.99
$699.99(save $150)
Best headphones deal
For deals on AirPods, scroll back up to the “Apple deals” section.
Why we like it
Read Mashable’s full review of the Amazon Echo Buds with Active Noise Cancellation.
“Simply put, you really don’t see earbuds with halfway decent active noise cancellation below $50, much less below $40. In my testing of budget noise-cancelling headphones, I found that the Anker Soundcore Life P3i earbuds fared well with noise-cancelling and audio quality for around $50. I opted for them instead of the Echo Buds because of the price discrepancy, but with the Echo Buds at a whopping 71% off, it’d be hard to recommend another pair of earbuds if you’re looking for the cheapest way to get the best ANC possible.
You’ll deal with some quirks like Amazon wanting you to lean heavy into using Alexa, and a battery life that’s nothing to write home about, for $35 you could do a lot worse.” — Bethany Allard, Lead Shopping Reporter
More headphones deals
Headphones
Earbuds
Best Bluetooth speaker deal
Why we like it
“Maybe your Bluetooth speaker kicked the dust this summer after one too many pool parties. If you find yourself in the market for a new one, Prime Day is an especially great time to hit add to cart.
If you need a speaker for a party, the JBL PartyBox is just that. Despite its large size, the shoulder strap makes it easy to carry. Plus, six hours of battery life keeps it running all night long. Built-in lights and a microphone really keep things turning up all night long.
This Prime Day, you can find the JBL PartyBox down to $299.95, saving $50 for 14% off.” — Samantha Mangino, Shopping Reporter
More Bluetooth speaker deals
Soundbar deals
Best TV deal
Why we like it
“Who says you need to spend a grand to get a nice (and decently sized) 4K TV? With the 35% discount that Amazon slapped on the 55-inch version of its most affordable Fire TV, Prime members could actually get one for two different rooms for way less than $1,000.
As Amazon’s most basic in-house Fire TV, the 4-Series would be best suited for people who aren’t super picky about saturation or brightness levels as long as it’s a step up from their old LED TV — and this definitely will be. With the intuitive Fire TV platform built-in, the 4-Series can access all of your favorite streaming apps, which you can arrange in whatever layout makes sense to you.” — Leah Stodart, Senior Shopping Reporter
More TV deals
50- to 55-inch TVs
65-inch TVs
75-inch TVs and up
-
Roku 75-inch Select Series 4K TV— $499.99$799.99 (save $200) -
Amazon 75-inch Omni 4K Fire TV — $758.99
$1,049.99(save $291 with Prime) -
TCL 75-inch QM7 QLED 4K TV — $998.99
$1,499.99(save $501) -
Hisense 75-inch U8 Mini LED ULED 4K TV — $1,341.91
$1,999.99(save $658.08) -
LG 77-inch B3 OLED 4K TV — $1,796.99
$2,296.99(save $500) -
TCL 85-inch Q65 Mini LED ULED 4K TV— $899.99$1,599.99 (save $700) -
Sony 85-inch X77L 4K TV — $998
$1,498(save $500) -
Hisense 85-inch U8 Mini LED ULED 4K TV — $1,797.99
$2,799.99(save $1,002) -
Hisense 100-inch QD7 QLED 4K TV— $1,999.99$2,999.99 (save $1,000)
Best streaming deal
Why we like it
Is the Amazon Fire Stick 4K the best streamer we’ve ever tested? No, Roku takes the cake there. However, it still works perfectly fine, and not to mention, it’s hard to turn away from its delightful $30 price tag on Prime Day. Having tested the Amazon Fire Stick TV, set-up is easy, as simple as plugging it into an HDMI port in the back of your TV.
While the home screen is a little clunky and slow, full of ads and promotions for Prime Video content, it is a dream for those who primarily stream on the site. The Amazon Fire Stick 4K is down to $24.99, saving you $25 and 50% off.
More streaming deals
Best gaming deal
“The Razer BlackWidow V3 Mini is a high-end gaming keyboard that’s going for under $100 on Prime Big Deal Days (usually $199.99). The low-profile keyboard features wireless support, a lengthy battery life, and some of the best RGB customization in the business. If you’re serious about PC gaming but don’t have a lot of desk space, this gaming keyboard is the way to go, and it’s an absolute steal at the moment.” — Dylan Haas, Lead Shopping Reporter
More gaming deals
Gaming consoles
Gaming laptops
-
Asus TUF Gaming A15 (AMD Ryzen 5 7535HS, NVIDIA GeForce RTX 2050, 8GB RAM, 512GB SSD) — $599
$699.99(save $100.99) -
Acer Nitro 16 (AMD Ryzen 5 7640HS, Nvidia GeForce RTX 4050, 8GB RAM, 512GB SSD) — $799.99
$999.99(save $200) -
Asus ROG Strix G17 (AMD Ryzen 7 6800H, NVIDIA GeForce RTX 3050, 16GB RAM, 512GB SSD) — $949.99
$1,199.99(save $250) -
Acer Predator Helios Neo 16 (Intel Core i7-13650HX, NVIDIA GeForce RTX 4060, 16GB RAM, 512GB SSD) — $949.99
$1,149.99(save $200) -
Asus ROG Strix G16 (Intel Core i7-13650HX, NVIDIA GeForce RTX 4060, 16GB RAM, 1TB SSD) — $1,099.99
$1,399.99(save $300) -
Acer Predator Triton Neo 16 (Intel Core Ultra 9 185H, Nvidia GeForce RTX 4070, 32GB RAM, 1TB SSD) — $1,499.99
$1,899.99(save $400) -
Dell G16 7630 (Intel Core i9-13900HX, Nvidia GeForce RTX 4070, 16GB RAM, 1TB SSD)— $1,299.99$1,749.99 (save $450)
Gaming headsets
Gaming keyboards and keypads
Gaming mice
Gaming monitors
Best board game deal
Why we like it
“Catan is a classic strategy game that’s perfect for families and game nights. And, at 50% off — down to just $29.99 — it’s a steal. (You can get the five-to-six-player extension for $24.49). In this game, you’ll need to collect resources, settle the land, and trade with other players to build the biggest settlements. If you like any of the digital empire-building games, Catan is a great tabletop version that requires tight strategy, some luck, and a good dose of diplomacy to win.” — Tabitha Britt, Mashable Shopping Contributor
More board game deals
Best drone deal
Why we like it
“If you’re really into drones, the name Holy Stone should be on your radar. This brand is known for making high-end drones that are feature-packed and, at times, super affordable.
The HS175D RC Quadcopter is currently $135.99 at Amazon, which is [$134 off its true MSRP on the Holy Stone website. (Amazon’s list price is deflated.)] It’s a solid mid-range drone option that shoots 4K videos, has a 46-minute flight time, and a special flight mode where you can direct its movement — whether you want it to follow you or fly along a specific path.” — Tabitha Britt, Mashable Shopping Contributor
More drone deals
Best robot vacuum deal
Why we like it
“Ecovacs wasn’t lying when it came up with the term ‘all-in-one cleaning hub’ here, considering that this robot vacuum not only empties itself and washes and dries its own mopping pads, but also has another sweet feature tacked onto the dock: a handheld cordless vacuum. If your main hesitation with robot vacuums was that they can’t scale a staircase, sweep under couch cushions, or detail corners up to your standards, this is the one robot vacuum purchase that can — now for well under $1,000.” — Leah Stodart, Senior Shopping Reporter
More robot vacuum deals
Robot vacuums that don’t mop
Robot vacuums that do mop
More vacuum deals
More home deals
Best Dyson vacuum deal
Why we like it
“The Dyson V8 Plus cordless vacuum (silver/nickel) is lightweight and powerful and can handle most daily cleaning tasks. It has a detachable wand for cleaning stairs, upholstery, and hard-to-reach areas, and it converts to a handheld vac for quick cleanups. It comes with four accessories, including a hair screw tool for pet hair.
With a runtime of up to 40 minutes on a single charge, this little vac is ideal for small apartments and quick cleanups.
You can get it at Amazon for just $299.99 in a Big Prime Deal (originally $469.99). It’s out of stock at Dyson.” — Tabitha Britt, Mashable Shopping Contributor
More Dyson vacuum deals
More Dyson deals
Best fitness tracker deal
For deals on Apple Watches, scroll back up to the “Apple deals” section.
Why we like it
“Ideal for smaller wrists, the Garmin Venu 3S is about .2 inches smaller in diameter and .3 oz lighter than the standard Venu 3. It still offers the same advanced features, like a built-in speaker and microphone to take calls, the ability to store music, and an abundance of health and fitness tools and insights. The only real difference besides the size is that the 3S has a slightly shorter battery life (about 10 days in smartwatch mode versus the 3’s 14 days), but it still blows the Apple Watch battery out of the water. It’s usually $449.99, but you can save $55 during the October Prime event and get it for only $395. That’s a new all-time low.” — Christina Buff, Mashable Shopping Contributor
More fitness tracker deals
Garmin deals
Google Pixel and Fitbit deals
Samsung Galaxy Watch deals
Smart ring deals
Best kitchen deal
Why we picked this
A great espresso machine can make a world of difference when it comes to actually enjoying your morning. Breville is known for their pricier machines, which makes this deal on the Barista Touch a nice Prime Day surprise — and it’s at its lowest price ever at Amazon. With a single touch, brew up your coffee house order right on your own countertop. Choose between Americano, flat white, cappuccino, latte, and more with this super convenient machine that includes a built-in conical burr grinder.
More kitchen deals
Air fryers
Blenders
Coffee makers
Espresso machines
Multicookers
Stand mixers
Miscellaneous kitchen deals
Mashable Deals
Best Beauty deal
Why we like it
Mashable’s Bethany Allard has spent a lot of time with the Dyson Supersonic, assessing its performance and value. While Allard commends the hair dryer for its lightweight design, quick drying, and user-friendliness, its downfall comes with its $429.99 price tag. However, Prime Day presents a fantastic saving opportunity.
During Prime Big Deal Days, get the Dyson Supersonic for $329.99, saving $100 on the device. Included with the hair dryer are several magnetic attachments including a diffuser, styling concentrator, flyaway attachment, gentle air attachment, and a wide tooth comb attachment.
More beauty deals
Skincare
Lip care
Body care
Hair care
Make-up
Best book deal
Why we like it
“Even if self-help isn’t your usual genre, James Clear’s Atomic Habits deserves a spot on your bookshelf. This is one of the best nonfiction titles to come out within the past few years, and it’s currently 65% off in hardcover [thanks to a coupon on its product page].
This book is all about teaching yourself to build good habits, break bad ones, and generally become more focused, productive, and successful in your daily life. And at just $9.33 for the hardcover, it’s a steal.” — Tabitha Britt, Mashable Shopping Contributor
More book deals
Kindle book deals
Best home security deal
Why we like it
“If you could put a price tag on peace of mind, it’d be pretty close to this Blink Whole Home Bundle deal. It includes the Blink Outdoor 4, Mini 2, Video Doorbell, and Sync Module 2, all for just $89.97. That’s 55% off the retail value and the lowest price we’ve seen on this particular bundle. The Blink Mini 2 can take care of the inside of your home, day or night, while the Outdoor 4 can keep an eye on things outside. Paired with the Blink app, the video doorbell can show you who shows up at your door (even at night). And the Sync Module 2 will let you keep track of all the action in one place (and store your clips locally). It’s one of the most affordable ways to keep an eye on every part of your home.” — Christina Buff, Mashable Shopping Contributor
More home security deals
Video doorbell deals
Single security camera deals
Home security bundle deals
Best printer deal
Why we like it
The HP Envy 6055e wireless color inkjet printer can print quickly, going through five pages a minute in color, and eight and a half pages in black and white. It also comes with three months’ worth of ink through HP+. You just have to activate your subscription to get it — it’s pretty easy to do through the app. This compact printer is ideal for at-home printing or dorm room use.
More printer deals
3D printer deals
Best Samsung Galaxy deal
Why we like it
“Samsung’s Galaxy A35 is a ‘strong buy for the price,’ as our friends at PCMag (also owned by Ziff Davis) said in their review. The budget-friendly Galaxy phone was released as a more affordable alternative to the Galaxy S24. As a budget phone, it doesn’t offer the same speed and performance as the S24, but it also doesn’t cost over $1,000. It packs a gorgeous 6.6-inch display, Samsung’s Exynos 1380 processor, a 50 MP wide-angle camera with optical image stabilization, and a long-lasting 5,000mAh battery that supports fast charging. It’s not the most impressive phone on the market, but on sale for [under $300], it’s a pretty hard deal to beat.” — Christina Buff, Mashable Shopping Contributor
More Samsung Galaxy deals
Galaxy Buds deals
Galaxy phone deals
Galaxy Tab deals
Galaxy Watch deals
Best keyboard deals
Why we like it
“For under $90, you’re getting a hot-swappable keyboard with a 96% layout, a knob, a small display, and a Bluetooth, 2.4GHz, and USB-C connection. In other words, this Royal Kludge keyboard is a great affordable mechanical keyboard, whether you’re into gaming or just want something cute for your desk. There are also four different keycap colorways available, but the coupon amount may vary depending on which you choose.” — Bethany Allard, Lead Shopping Reporter
More keyboard deals
Best deals under $50
Note: This section may have repeat deals from the above list.
Why we like it
“Noise-cancelling headphones can easily cost a couple hundred bucks, even on sale. When I tested noise-cancelling headphones to determine which were the best for travel, I found that the Anker Soundcore Life Q20 headphones already offered a pretty good value, even at their full price of $59.99 (and frequently discounted price of $49.99).
At nearly $40 flat, these are a steal. I was able to wear them comfortably for long periods of time, and get plenty of battery life off a single charge. Their ANC can hiss a little, but it also does a pretty good job of blocking out atmospheric sounds, and for $40, you really can’t complain.” — Bethany Allard, Lead Shopping Reporter
More deals under $50
Best deals under $25
Note: This section may have repeat deals from the above list.
Why we like it
“Have you ever heard the crash of a YETI Rambler as it connects with concrete as you drive down the street, blissfully unaware you left it on top of your car? I assure you, it’s very loud. So loud, in fact, I expected my water bottle to be too damaged to use — I know a HydroFlask wouldn’t have survived that fall. But when I circled back to collect my YETI from the middle of the road, the bottle had one small scratch, and one small dent, and two years later, is still perfectly usable. What I’m saying is, if you want a water bottle that’s built to last, a YETI Rambler is a pretty good bet.” — Bethany Allard, Lead Shopping Reporter
More of the best deals under $25
Best deals under $10
Why we like it
If you’re looking to start building out a smart home, a cheap smart bulb is a good way to test out the waters. Though you can use it with Amazon Echo devices and other smart home hubs and speakers, you don’t need to have one to use this sub-$7 bulb. Just use the Alexa app on your phone, and you can use voice control to turn your lights on and off, change the color of your lighting, and more.
More deals under $10
Tech
Household essentials
Beauty
Entertainment
Everything we expect from Samsung’s July event (Fold 8, watches, and glasses!)
Samsung’s next big event could reveal foldables, smartwatches, and its first Android XR glasses.
on
The biggest stories of the day delivered to your inbox.
Thanks for signing up. See you at your inbox!
Entertainment
AI just disproved a major math problem. A mathematician explains.
While the rest of the world was watching the World Cup on Sunday evening, mathematician Levent Alpöge casually announced on X that he had used Anthropic’s Fable 5 to disprove the Jacobian conjecture.
This Tweet is currently unavailable. It might be loading or has been removed.
The Jacobian conjecture is a long-standing open problem in algebraic geometry that’s bedeviled highly accomplished mathematicians for almost 90 years. It was included in “Smale’s problems,” a list of unresolved math problems put forward by mathematician Stephen Smale in 1998.
But that proved no obstacle for Fable 5, Anthropic’s latest frontier AI model. (You may remember Fable 5 as the public version of Claude Mythos Preview, the AI model that Anthropic says has such advanced cybersecurity capabilities that it was too dangerous for public release.)
Alpöge is part of Harvard’s Society of Fellows, and his Linkedin profile notes an affiliation with Anthropic. We’ve reached out to Anthropic with questions about Alpöge’s work.
Meanwhile, for those of us who don’t understand polynomial functions from n-dimensional space, the question is: Does this represent a major breakthrough in artificial intelligence, or mathematics, or neither?
“This did not cause me to update my priors about what AI can and can’t do,” professor and mathematician Andrew Blumberg told Mashable. “This is exactly the kind of thing I would expect AI to be able to do. If there was a counterexample that was concise and easy to state that people haven’t found because it’s a pain to search through all this stuff, AI will find it.”
Blumberg, who has a joint appointment in mathematics and computer science at Columbia University, is involved in the First Proof project, an effort to test the capabilities of frontier large language models in solving research-level mathematics. So, it’s safe to say he understands mathematics and AI better than most of us.
Mashable Light Speed
‘You want to learn something from the answer’
Providing a counterexample to the Jacobian conjecture is still a significant achievement for AI in mathematics, Blumberg notes. But he also says there’s a big difference between providing a positive proof for a major math problem and providing a single counterexample that disproves it. Here’s the metaphor Blumberg used to explain.
“Suppose that Moses came down from the mountain with tablets, and on the tablet was written, ‘Cancer can be cured.’ Would you care? You don’t just want the answer to the question. You want to learn something from the answer. And the reason Smale thought this problem was important is because he thought that if we solved it, we would understand more things about the about the way nature is structured.”
In other words, Blumberg says, “this counterexample tells us essentially nothing. It’s just, you know, there are a lot of polynomials, and it’s hard for people to check them all, but it’s not hard for machines.”
The Jacobian conjecture isn’t the only math problem AI has tackled in recent months. OpenAI announced in May an “internal model” had disproved the Erdős unit distance conjecture, a central conjecture in discrete geometry.
However, in that case, the result was more productive, Blumberg says. That’s because OpenAI didn’t just provide a counterexample — but a disproof of the problem itself.
“The disproof there already has led to interesting things because experts in the area unpacked what was going on in the disproof and then used it to do other things,” Blumberg says.
And that’s not necessarily the case with the Jacobian conjecture counterexample, he adds — while conceding he’s not expert enough to see if there’s something special about the structure of the counterexample that we can learn from. “But it’s not in and of itself interesting.”
Disclosure: Ziff Davis, Mashable’s parent company, in April 2025 filed a lawsuit against OpenAI, alleging it infringed Ziff Davis copyrights in training and operating its AI systems.
Entertainment
macOS 27 Beta has a secret Siri AI interface. How to try it.
You’ve waited long enough for Apple’s relaunch of Siri as an AI assistant, and now you can finally try out the Siri AI beta for iOS. But, psst, don’t tell anyone, but there’s even more Siri AI for you to try out with a secret Siri AI interface on Mac.
A Reddit user on the r/MacOSBeta subreddit has discovered a “hidden lightweight UI” for Siri AI in the macOS 27 Golden Gate beta. This feature basically provides users with an array of AI tools, presented in a pop-up menu whenever text is highlighted.
The Siri AI pop-up interface includes AI tools such as Rewrite, Proofread, “How does this sound?,” and “Edit with Siri.” There are also menu options for summarization and providing bullet points from the selected text.
Siri AI can also provide a selection of specific tools dependent on the context of what’s selected. For example, highlighting a phone number provides a pop-up to “Add to contacts” or when selecting an address the pop-up offers an “Open in Maps” option. There are tools for creating calendar events, composing messages and emails, and tracking flights and packages as well.
Why is the feature hidden? Well, as MacRumors points out, the Siri AI interface in macOS 27 developer beta 3 and public beta 1 is simply an unfinished product. Certain features don’t yet work how they’re supposed to. Some options don’t work at all. Clearly, Apple has yet to make it available because it’s simply not ready.
Mashable Light Speed
However, Reddit users say there is a way to turn the interface on in the macOS Golden Gate Beta. According to Redditor pdfu, if users running the macOS 27 beta simply need to open up the Terminal and input a few lines of code.
Please note: We do not recommend running terminal instructions or changing important OS files unless you fully understand what you’re doing. We have not tested these terminal instructions, so proceed at your own risk.
sudo mkdir -p /Library/Preferences/FeatureFlags/Domain && sudo defaults write /Library/Preferences/FeatureFlags/Domain/WritingTools LightweightUI_macOS -dict Enabled -bool true
After that, the Reddit threat instructs users to restart their computer and the Siri AI interface will be enabled.
If you’ve had enough of the unfinished interface, you can turn it back off by once again opening Terminal and the following input:
sudo defaults write /Library/Preferences/FeatureFlags/Domain/WritingTools LightweightUI_macOS -dict Enabled -bool false
It’s unclear if the Siri AI interface will launch with the official version of the new macOS. However, it’s certainly interesting to see Apple further brand its Siri AI relaunch as an all-in-one AI tool across the company’s products.

