What is the remainder of $2^{4000}$ divided by 99?
360
Modular exponentiation by hand ($a^b\bmod c$)
147485
A conjecture about numbers of the form $10^{m}(2^{k}−1)+2^{k-1}−1$, where $m$ is the number of decimal digits of $ 2^{k-1}$.
107848
Finding the remainder of $\overbrace{11\ldots1}^{123 \text{ times}}$ divided by $271$
28957
Verifying that $2^{44}-1$ is divisible by $89$
64592
The last two digits of $9^{9^9}$
156022
How to perform an integer division, and separately get the remainder, in JavaScript?
99243
What is the remainder when $24^{1202}$ is divided by $1446$?
54441
Last two digits of $3^{400}$
91565
How to efficiently compute $\,25^{37}\pmod{55}$?
143501
Find all $n\in\mathbb N^+$ such that the sum of the digits of $5^n$ is equal to $2^n$.
147505
Calculate the last digit of $3^{347}$
148859
Determine $4$ specific digits in $34!$
141183
How to determine highest power of $2$ in $3^{1024}-1$?
51299
How many digits is $99^{99}$ without a calculator?
143392
How to calculate the division and remainder of a big number manually
67312
How to find the last digit of $3^{1000}$?
82639
What is the remainder when $40!$ is divided by $1763$?