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Mathematics
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math404
  • Member for 1 year, 5 months
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4
Show that if $n \mid (p-1)$ and $p \mid (n^4+n^3-n-1)$, then $4p-3$ is a quadratic number.
May 5, 2023
4
Show that there are no two positive integers $x$ and $y$ such that $x^3=2^y+15$.
May 23, 2023
4
Show that $(\sqrt{x_n})$ is convergent with $|x_n - 4| < \frac{4n}{n^3+1}$ and $(x_n)$ is a sequence of nonnegative real number
Jul 14, 2023
3
Show that $A \cap B$ is open in $\Bbb R$ if and only if there exists $X \subseteq \Bbb R$ such that $A \cap B = A \cap X$ as follows.
Jun 25, 2023
2
Let $A$ and $B$ be finite sets such that $|A|+|B| = |A \cup C|$ with $C \sim B$ and $A \cap C = \emptyset$ construction of natural number set theory
May 25, 2023
1
Homomorphism Group From $S_3$ to $\Bbb Z_5 \setminus \{0\}$
Jan 30, 2023
1
Understanding a Proof Related to Binary Partitions
Feb 9, 2023
1
Understanding about paper related to integer partition with even parts distinct
Apr 25, 2023
1
Find all relative prime positive integers $p$ and $q$ such that $p+q=(p-q)^3$.
May 6, 2023
1
Construction of the set of positive integers via set theory
Jun 5, 2023