query: Find the remainder when $11^{2013}$ is divided by $ 61$
positive_passages.docid: 17609
positive_passages.text: Finding the remainder of $11^{2013}$ divided by $61$
negative_passages.docid: 17766
negative_passages.text: Find $n^{th}$ term of $\frac23,\frac35,\frac58,\frac8{13}\dots$
negative_passages.docid: 18767
negative_passages.text: How do you find the modular inverse of $5\pmod{\!11}$
negative_passages.docid: 72406
negative_passages.text: Last two digits of $2^{1000}$ via Chinese Remainder Theorem?
negative_passages.docid: 113506
negative_passages.text: negative number divided by positive number, what would be remainder?
negative_passages.docid: 157771
negative_passages.text: Nested exponent modulus, $2^{2^{517}} \pmod {23}$
negative_passages.docid: 138271
negative_passages.text: Find the least number which when divided by 2, 3, 4, 5, 6 leaves a remainder of 1 but it is divided by 7 completely.
negative_passages.docid: 31708
negative_passages.text: Divisibility criteria for $7,11,13,17,19$
negative_passages.docid: 91565
negative_passages.text: How to efficiently compute $\,25^{37}\pmod{55}$?
negative_passages.docid: 145617
negative_passages.text: Is there any simple trick to solve the congruence $a^{24}\equiv6a+2\pmod{13}$?
negative_passages.docid: 48053
negative_passages.text: Show that 13 divides $2^{70}+3^{70}$
negative_passages.docid: 82639
negative_passages.text: What is the remainder when $40!$ is divided by $1763$?
negative_passages.docid: 103493
negative_passages.text: Find the $1000$th digit after the decimal point of $\sqrt{n},$ where $n=\underbrace{11\dots1}_{1998 \text{ 1's}}$
negative_passages.docid: 61582
negative_passages.text: Find the remainder of $\frac{2^{2014}}{7}$
negative_passages.docid: 59135
negative_passages.text: What is the proof of divisibility by $13$?
negative_passages.docid: 17243
negative_passages.text: Remainder when $2009^{2009}-1982^{2009}-1972^{2009}+1945^{2009}$ is divided by $1998$
negative_passages.docid: 90300
negative_passages.text: Find the remainder when $10^{400}$ is divided by 199?