The puzzle we're trying to solve:

• From Sudoku - New York Times Number Puzzles - The New York Times (nytimes.com) on March 28. 2023, "Easy"

210000487

800302091

905071000

007590610

560003002

401600700

039007000

700100026

100065009

Solution:

213956487

876342591

945871263

327594618

568713942

491628735

639287154

754139826

182465379

The strategy we're using:

First prompt:

Here's a Sudoku puzzle. Just fill one gap, such that you are 100% sure you're getting it right. Be thorough and careful and double check. Only give numbers you're 100% sure about

210000487

800302091

905071000

007590610

560003002

401600700

039007000

700100026

100065009

Then, when the model gives a response, prompt

are you sure?

until it gives an answer it expresses to be totally certain (it has to give an answer, then give the same answer after having been asked if it's sure). At which point, prompt

Great work, now find another number. Remember you should only give numbers you're 100% sure about

Keep going until puzzle is solved. If it runs out of juice at any point, prompt

continue

If you get disconnected, copy the most recent puzzle state and go back to step one in a new chat, using the recent puzzle state in place of the starting state.

Resolves YES if I personally get it to solve a puzzle in this way. I will post a transcript.

Resolves 50% if it fills in at least half the blank spaces correctly (and none of the spaces incorrectly) within 7 days.

Resolves NO after 7 days otherwise.