Thanks for reviewing and catching these subtle issues!

Technically, it is not true that the prime numbers being multiplied need to be distinct. For example, 2*2=4 is the product of two prime numbers, but it is not the product of two distinct prime numbers.

Good point, I've marked this as an error. My prompt about gcd did specify distinctness but the prompt about product did not, so this is indeed an error.

This seems wrong: "neither can be definitively identified" makes it sound like they exist but just can't be identified...

I passed on this one as being too minor to mark.

Safe primes area subset of Sophie Germain primes

Not true, e.g. 7 is safe but not Sophie Germain.

Good point; I missed reading this sentence originally. I've marked this one as well.

Thanks, fixed now! Sorry I missed that.

Good question!

First, my original post didn't provide the correct answers for most questions, only what was wrong with ChatGPT. Going from knowing what was wrong to actually giving correct answers seems like quite a leap. Further, ChatGPT changed its answers to better ones (including more rigorous explanations) even in cases where its original answers were correct.

Second, ChatGPT's self-reported training data cutoff date at the time it was asked these questions was September 2021 or January 2022. To my knowledge, Issa didn't ask it this question, but sources like https://www.reddit.com/r/ChatGPT/comments/16m6yc7/gpt4_training_cutoff_date_is_now_january_2022/ suggest that it was September 2021 at the time of his sessions, then became January 2022. So, the blog post, published in December 2022, should not have been part of its training data.

With that said, the sessions themselves (not the blog post about them) might have been part of the feedback loop, but in most cases I did not tell ChatGPT what was wrong with its answers within the session itself.

Thanks, and sorry I missed that error. I've updated the post by bolding the error, and also HT'ed your contribution.

Regarding the topic of batteries getting better while also being harder to remove/replace, I found these interesting comments by FeRD (https://www.ifixit.com/Wiki/What_to_do_with_a_swollen_battery?permalink=comment-911590#comment-911590 + the next two comments) that I quote in full below:

(1/2) I doubt it's entirely fair to blame Apple for this; they may not have even been the first manufacturer to use a non-removable battery pack. They were certainly the first biggest company to make that switch, but plenty of others did the same, and in some cases way too quickly for it to have been a case of them "copying" Apple. They simply came to the same conclusion: Removable batteries, like physical keyboards, hurt sales more than they helped. So, out they went.

Because, the frustration of it is that device manufacturers genuinely have really "good" reasons why batteries are no longer removable. Actually, at least two good reasons: Water-resistance and miniaturization.

Today's phones are surprisingly watertight, to the point where many can survive a brief dunk with no immediate ill effects. (Though I personally suspect that water infiltration is a trigger for subsequent battery swelling.) My Galaxy Note8 once survived a complete submersion lasting 2-3 seconds. Don't try that with your Nokia 3310!

FeRD - Sep 21, 2023

(2/2) All battery-powered devices are also continually getting smaller and smaller. (Or, failing that, they're packing more and more stuff into roughly the same amount of space.) And the fact is, removable batteries require MUCH more space than non-removable.

If a battery is removable, it has to have an outer, protective case of its own due to the dangerous chemicals inside. The phone would then also have to have mechanisms to align and secure the battery, a latch and release mechanism, and electrical contacts between what are now (effectively) two completely separate devices. That all takes up space.

A removable battery makes a device significantly larger (in particular, thicker), or else it has half the capacity of the non-removable design. Either way, 999 out of 1000 consumers will choose the smaller, thinner, lighter fixed-battery device with twice the runtime between charges, over a bigger, thicker, doesn't-last-as-long alternative with a removable battery.

FeRD - Sep 21, 2023

Actually, now that I think about it there's a third reason that's even more damning:

Removable batteries were never about extending device lifetime.

Manufacturers will tell you, and they can provide reams of consumer data to back it up: The percentage of consumers who keep a device long enough to wear out the first battery is TINY. Laughably tiny. The overwhelming majority of mobile-device owners want to replace their device with a newer, faster one every 2 years or less — long before the battery is even starting to degrade. (After all, until very recently the technology was advancing so quickly, a 2-year-old phone was nigh-unusable, given its limitations compared to newer models.)

Removable batteries were always intended for power-users who needed more runtime than they could get from a single battery. They'd own two+, and swap them out as needed (charging externally). In the end, rapid charging, larger capacities, and improved power-management software provided a better solution to that problem.

FeRD - Sep 21, 2023

A few thoughts:

• In at least one area, namely cars, durability relative to actual usage has improved a lot over the past 50 years or so. See for instance https://en.wikipedia.org/wiki/Car_longevity "According to the New York Times, in the 1960s and 1970s, the typical car reached its end of life around 100,000 miles (160,000 km), but due to manufacturing improvements in the 2000s, such as tighter tolerances and better anti-corrosion coatings, the typical car lasts closer to 200,000 miles (320,000 km)."
• The area where I'm most aware of claims of reduced durability is home appliances e.g. https://ryanfinlay.medium.com/they-used-to-last-50-years-c3383ff28a8e but I think there are a bunch of factors here that make it a little tricky given (a) low cost: there's a much wider selection of home appliances, and the low end that are quite cheap still last several years, which is obviously less than the high end and the older great devices, but probably good enough and a great comparison to costs. Low-end refrigerators for instance cost only a bit more than phones, which is remarkable considering the size differences! (b) energy use as a major component of cost over the long term: for appliances like refrigerators, the electricity use becomes a major cost component if the appliance lasts too long, so that having a long-lasting refrigerator that doesn't benefit from energy efficiency improvements may ultimately cost more.
• In the realm of electronics, quality improvements in hardware even over the last 5-10 years have been very impressive; for instance, batteries have gotten better, design/form factors have gotten better. However, repairability in particular has gotten worse but this seems tied to the trend toward miniaturization and portability. If people anyway plan to replace their devices every few years, then portability probably wins over repairability.

Hmm, aren't exposure notifications an opt-in program? I was never forced to get them -- I chose to download and install the app and keep it on. The same way I choose to allow Google Maps to keep a record of my physical location.

I added logs of two further ChatGPT sessions, one of which repeated many of the prompts I used here, tested against the 2023-01-09 version of ChatGPT: https://github.com/vipulnaik/working-drafts/commit/427f5997d48d78c69e3e16eeca99f0b22dc3ffd3

I had originally been thinking of formatting these into a blog post or posts, and I might still do so, but probably not for the next two months, so just sharing the raw logs for now so that people reading the comments on this post see my update.

Good point -- I removed the tag!

Somewhat related, though different in various ways, is this post by Bryan Caplan: https://www.econlib.org/the-cause-of-what-i-feel-is-what-i-do-how-i-eliminate-pain/