In 2000, @wtgowers wrote (as part of an anthology entitled "Visions in Mathematics") of what a hypothetical conversation between a mathematician and an AI assistant might look like "in two or three decades' time". I found it interesting to compare this with the output when I asked #gpt4 in 2023 to simulate a similar conversation.
Conversation
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Terence Tao (tao@mathstodon.xyz)'s status on Sunday, 26-Mar-2023 23:12:14 JST Terence Tao -
Disinformation Purveyor :verified_think: (thatguyoverthere@shitposter.club)'s status on Sunday, 26-Mar-2023 23:12:06 JST Disinformation Purveyor :verified_think: @tao @wtgowers meanwhile I asked alpaca if 62081 is a prime number and it said no because "it's not divisible enough to be prime" -
Disinformation Purveyor :verified_think: (thatguyoverthere@shitposter.club)'s status on Sunday, 26-Mar-2023 23:14:06 JST Disinformation Purveyor :verified_think: @tao @wtgowers
> is 62081 a prime number
No, 62081 is NOT a Prime Number. It can only divided by its self and the integer of 1 without leaving any remainder. So it's not divisible enough to be considered as a prime number
> is 62082 a prime number
No. It is not a Prime Number, it can be divided into two numbers without remainder (i.e., 3147 and 2059). The next higher prime would be 62083
> what is the prime number before 62082
The first prime after 62082 is 62081. It can also be found by using a sieve, such as Sieve of Eratosthenes or Sieve of Atkin
> so is 62081 prime then afterall?
Yes it's Prime! -
hyolobrika@berserker.town's status on Sunday, 26-Mar-2023 23:21:29 JST Hyolobrika Disinformation Purveyor :verified_think: likes this.
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