The number one million can be presented by 2 digits : 1000000,
i.e. a chain of 7 digits.
Another possibility is 1000
2. 3 distinct digits, 5 characters. I
You are requested to express one million, using
a single digit d plus some operators creating a chain of n characters ( digits and operators).
What digit is your choice and how low is the minimal n?
a). The permissible operators are :
+ - * / and ^.
b). Sqrt and ! are allowed as well.”
.
REM: count digits and operators only, ignore ^, concatenation and brackets; e.g. (77-7)/7 is counted as 6.
I'll update this list if people find more. The number of counted characters is in brackets.
Part a).
(1111-111)^(1+1) and also (111-11)^(1+1+1) [11]
[2*(22^2 + 2^(2^2))]^2 [10] xdog
((33-3)/3)^(3+3) [9]
((44-4)/4)^((4+4)/4+4) [13]
(5+5)^(5+5/5) [8] xdog
((66-6)/6)^6 [7]
((77-7)/7)^(7-7/7) [11]
((88-8)/8)^(8-(8+8)/8) [13]
999999+9/9 [10]
Part b). if an improvement is known
(11-1)^(1+1+1)! [10] xdog
((33-3)/3)^3! [8]
(4+4+sqrt4)^(4+sqrt4) [10] Ady
(9+9/9)^((sqrt9)!) [8] Ady
Edited on December 4, 2020, 8:56 pm
Edited on December 7, 2020, 8:17 am
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Posted by Jer
on 2020-12-04 12:56:10 |
Best known of each digit
