What is the first 12-digit sequence in the duodecimal expansion of pi that contains each digit exactly once?
In all fairness, Larry was right to warn of the trickiness of getting
the accuracy under control here. While I did find the same
discrepancy noted by Charle in Larry's 271st digit of Pi in
base 12, I thought I was all set, because my 30,000 digit
number (which gave a solution starting at digit 28641) also
replicated the 1st 10,000 digits of Pi (base 12) listed
here.
And, further, I checked the beginning of the 1,000,000 digit
decimal Pi file (from the internet) against another 10,000 digit
decimal one. and they matched... But....
When I kept running longer and longer higher accuracy
computations of Pi (base 12) I settled on a different solution:
30762 0
30763 6
30764 8
30765 3
30766 2
30767 1
30768 9
30769 7
30770 5
30771 B
30772 4
30773 A
This seems to be it, as this result holds robustly for a
representation of Pi that is successive 60,000, 100,000,
and 200,000 digits long. I am testing 400,000 now,
but I am confident I have the accuracy problem licked.
Added latter: 400,000 digit case also confirmed this answer.
Edited on November 6, 2023, 10:20 pm
new solution
