perplexus.info :: Numbers : Googol vs Googolplex

Googol vs Googolplex (Posted on 2022-05-12)

When Googol (10¹⁰⁰) is divided by 1,2,3,4,5,6... the remainders form the sequence 0,0,1,0,0,4...

When Googolplex (10^10¹⁰⁰) 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.

No Solution Yet Submitted by Jer

Rating: 4.5000 (2 votes)

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Answer

Comment 3 of 3 |

10^100 mod 17=4

10^(10^100) mod 17=1

Posted by Math Man on 2022-05-22 13:08:19

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