query: Least positive integer $\equiv 3^{18} \pmod{37}?$
positive_passages.docid: 360
positive_passages.text: Modular exponentiation by hand ($a^b\bmod c$)
negative_passages.docid: 15897
negative_passages.text: Solve a congruence $1978^{20}\equiv x\pmod{125}$
negative_passages.docid: 131395
negative_passages.text: Solving linear congruence $2x + 11 \equiv 7 \pmod 3$
negative_passages.docid: 140359
negative_passages.text: Can the sum of finitely many inverses of distinct odd integers $\geq 3$ be 1?
negative_passages.docid: 37417
negative_passages.text: Why is $ 561 = 3*11*17 $ the smallest Carmichael number?
negative_passages.docid: 46400
negative_passages.text: how do i prove that $17^n-12^n-24^n+19^n \equiv 0 \pmod{35}$
negative_passages.docid: 75166
negative_passages.text: Find with proof all positive integers $n$ such that $2^n + 1 \equiv 0 \pmod{n}$
negative_passages.docid: 124241
negative_passages.text: Finding all integers $k \geq 2$ such that $k^2 \equiv 5k \pmod{15}$. What is going on here?
negative_passages.docid: 24444
negative_passages.text: Prove that $371\cdots 1$ is not prime
negative_passages.docid: 68960
negative_passages.text: How to solve $ 13x \equiv 1 ~ (\text{mod} ~ 17) $?
negative_passages.docid: 31184
negative_passages.text: Sums of powers below a prime
negative_passages.docid: 141073
negative_passages.text: Are there fewer positive integers than all integers?
negative_passages.docid: 74512
negative_passages.text: How to show $n(n+1)(2n+1) \equiv 0 \pmod 6$?
negative_passages.docid: 57041
negative_passages.text: How would you prove that $2^{50} < 3^{33}$ without directly calculating the values
negative_passages.docid: 127901
negative_passages.text: If $x^2+y^2 \equiv 0\pmod{p}$, then $p \equiv 1 \pmod{4}$
negative_passages.docid: 84491
negative_passages.text: Finding the smallest positive integer $n$ such that $S_n$ contains an element of order 60.
negative_passages.docid: 28957
negative_passages.text: Verifying that $2^{44}-1$ is divisible by $89$