query: The square of a prime is one greater than a multiple of 24?
positive_passages.docid: 114873
positive_passages.text: Show that if $n$ is not divisible by $2$ or by $3$, then $n^2-1$ is divisible by $24$.
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: 75318
negative_passages.text: How do you prove that a prime is the sum of two squares iff it is congruent to 1 mod 4?
negative_passages.docid: 56229
negative_passages.text: On the difference between consecutive primes
negative_passages.docid: 73515
negative_passages.text: Primes Number Theory
negative_passages.docid: 50781
negative_passages.text: $(n+1)$th prime $p_{n+1}$ less than or equal to $p_1p_2\dots p_n+1$
negative_passages.docid: 28228
negative_passages.text: Is a prime factor of a number always less than its square root?
negative_passages.docid: 10364
negative_passages.text: Is $7$ the only prime followed by a cube?
negative_passages.docid: 118574
negative_passages.text: prove that $24 \mid a(a^2-1)$
negative_passages.docid: 39156
negative_passages.text: Concerning what is between two consecutive squares.
negative_passages.docid: 131731
negative_passages.text: Primes that can't be written as sum of two squares. Mod
negative_passages.docid: 8034
negative_passages.text: Can $n!$ be a perfect square when $n$ is an integer greater than $1$?
negative_passages.docid: 110383
negative_passages.text: How many numbers less than $m$ and relatively prime to $n$, where $m>n$?
negative_passages.docid: 149508
negative_passages.text: Prove $9^n \equiv 9 \pmod{24}\quad \forall n \in \Bbb N^*$
negative_passages.docid: 57092
negative_passages.text: Sum of radicals greater than 1
negative_passages.docid: 134365
negative_passages.text: When is this true: If $m^2$ is a multiple of N then m is a multiple of N
negative_passages.docid: 59442
negative_passages.text: Are there $a,b>1$ with $a^4\equiv 1 \pmod{b^2}$ and $b^4\equiv1 \pmod{a^2}$?