query: How would I solve $53^{1069}$ mod 54?
positive_passages.docid: 4972
positive_passages.text: Mod of numbers with large exponents [modular order reduction]
negative_passages.docid: 75351
negative_passages.text: How to find inverse Modulo?
negative_passages.docid: 15897
negative_passages.text: Solve a congruence $1978^{20}\equiv x\pmod{125}$
negative_passages.docid: 49136
negative_passages.text: How to compute $m$ value from RSA if $phi(n)$ is not relative prime with the $e$?
negative_passages.docid: 143754
negative_passages.text: Finding the solution of the congruence $4x\equiv16\pmod{26}$
negative_passages.docid: 20908
negative_passages.text: How to compute $k$'th roots $\!\bmod n$?
negative_passages.docid: 39373
negative_passages.text: How can I calculate $24^{33} \bmod 80$
negative_passages.docid: 36438
negative_passages.text: How to solve infinite repeating exponents
negative_passages.docid: 131395
negative_passages.text: Solving linear congruence $2x + 11 \equiv 7 \pmod 3$
negative_passages.docid: 60385
negative_passages.text: How to solve this sequence $165,195,255,285,345,x$
negative_passages.docid: 157771
negative_passages.text: Nested exponent modulus, $2^{2^{517}} \pmod {23}$
negative_passages.docid: 147600
negative_passages.text: Calculating large Bell number modulo a composite number
negative_passages.docid: 144067
negative_passages.text: calculating $a^b \!\mod c$
negative_passages.docid: 80843
negative_passages.text: Find all solutions to $x^9 \equiv 25 \pmod {29}$
negative_passages.docid: 139077
negative_passages.text: How to calculate $5^{3^{1000}}\bmod 101$?
negative_passages.docid: 29298
negative_passages.text: How to calculate modulus of large numbers?
negative_passages.docid: 92700
negative_passages.text: How can I solve $x^2 \equiv 19 \pmod {59}$.