Timeline for Can we find four identically colored numbers?
Current License: CC BY-SA 4.0
15 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Aug 28 at 5:33 | comment | added | Benjamin Wang | @Bubbler thank you for introducing me to Picat! | |
| Aug 28 at 0:16 | comment | added | Bubbler | @BenjaminWang Picat script to find a quad free coloring for 1..93, cross checked in Python. | |
| Aug 27 at 10:58 | comment | added | Benjamin Wang | @Bubbler the answer seems to suggest the integers from 1 to 73 already doesn't allow a quad free coloring. Can you confirm that with your program? (Also, how would you go about writing this program?) | |
| Aug 24 at 21:06 | answer | added | noedne | timeline score: 8 | |
| Jul 21 at 6:36 | comment | added | Will.Octagon.Gibson | @Moti I haven’t solved it. | |
| Jul 21 at 6:30 | comment | added | Moti | Did you solve it? | |
| May 29 at 17:00 | comment | added | Ver Nick | @Bubbler generalizing it into {1, ..., N} and K colours might be a better insight. | |
| May 24 at 20:41 | comment | added | Will.Octagon.Gibson | @Moti The phrase, “no matter what coloring is chosen ...” is meant to include all possible colorings including all random colorings. | |
| May 24 at 16:17 | comment | added | Moti | It would be better to write " '''and color them RANDOMLY...":) | |
| May 24 at 7:36 | comment | added | Will.Octagon.Gibson | @Moti If 3=red, 6=red, 9=green, 18=blue, then your choice of numbers won’t work because the numbers are not all the same color. Notice the following phrase in the question: “no matter what coloring is chosen ...”. | |
| May 24 at 6:05 | comment | added | Moti | Is 3, 6, 9, and 18 satisfy you? | |
| May 22 at 9:38 | comment | added | Will.Octagon.Gibson | @xnor I saw that puzzle after I posted my question and I debated whether I should delete my question or not. I decided to keep my question because I am hoping my weaker constraint can lead to an elegant solution. | |
| May 22 at 9:07 | comment | added | Bubbler | With computer programs, I found that {1, ..., 93} allows a quad-free coloring but {1, ..., 94} doesn't. Doesn't feel like a useful insight though. | |
| May 22 at 8:26 | comment | added | xnor | This puzzle implies the answer is yes, though the weaker condition here might allow a nicer and more accessible argument. | |
| May 22 at 2:49 | history | asked | Will.Octagon.Gibson | CC BY-SA 4.0 |