When Googol (10
100) is divided by 1,2,3,4,5,6... the remainders form the sequence 0,0,1,0,0,4...
When Googolplex (1010100) is divided by 1,2,3,4,5,6... the remainders form the sequence 0,0,1,0,0,4...
These sequences are not the same, however.
Find the smallest number that gives a different remainder upon dividing these two numbers.
Feel free to find more.
The required number is no larger than 17:
10^100, mod17 = 4, 10^(10^100) mod17 = 1
The second such number is no larger than 29:
10^(100) mod29 = 16, 10^(10^100) = 24
Edited on May 12, 2022, 10:27 am
|
|
Posted by broll
on 2022-05-12 10:16:07 |
Possible Solution
