Question

Is it practical to find actual very large prime numbers (such as those up to 100 digits)?

score 263 · Answer 1 · 2022-01-12 14:50:18

263

Views

Is it practical to find actual very large prime numbers (such as those up to 100 digits)?

Published on 12 Jan 2022 - 14:50

score 58 · Answer 2 · 2022-01-14 09:56:04

58

Views

Bounds on prime factors of minors of an integer matrix

Published on 14 Jan 2022 - 9:56

score 160 · Answer 3 · 2022-01-14 21:20:56

160

Views

Sequences of consecutive "fair" positive integers

Published on 14 Jan 2022 - 21:20

score 519 · Answer 4 · 2022-01-31 13:18:34

519

Views

Let a rational number $\frac{a}{b}$ in its lowest form where $a$,$b$ are integers, with $0 < \frac{a}{b}< 1$, b > 1. How many of these have $ab = 15!$

Published on 31 Jan 2022 - 13:18

score 72 · Answer 5 · 2022-02-06 14:15:05

72

Views

pattern in max number of distinct prime factors of any number in [1,n]

Published on 06 Feb 2022 - 14:15

score 272 · Answer 6 · 2022-02-11 05:24:59

272

Views

Using Least Common Multiple to find the number of rectangle pieces of a given size to fit a square surface

Published on 11 Feb 2022 - 5:24

score 110 · Answer 7 · 2022-02-16 12:13:59

110

Views

Show that there are infinitely many functions $f:\mathbb N\rightarrow\mathbb N$ satisfying $f(2)=2$ and$f(mn)=f(m)f(n) \forall m,n\in \mathbb N$

Published on 16 Feb 2022 - 12:13

score 51 · Answer 8 · 2022-02-23 05:50:48

51

Views

Notation for the number of $n$'s in $x$'s prime factorization

Published on 23 Feb 2022 - 5:50

score 106 · Answer 9 · 2026-03-26 12:36:35

106

Views

What are the integers that lack unique factorization in $\mathbb Z[\zeta_n],$ $n= 23$?

Published on 26 Mar 2026 - 12:36

score 59 · Answer 10 · 2026-03-26 22:54:09

59

Views

Let $\mathbb{Z}[i]$ denote the Gaussian integers. Factor both $3+i$ and its norm into primes in $\mathbb{Z}[i]$

Published on 26 Mar 2026 - 22:54

score 1.8k · Answer 11 · 2026-02-24 09:53:38

1.8k

Views

Is there any variation known to the sum of two squares theorem?

Published on 24 Feb 2026 - 9:53

score 143 · Answer 12 · 2026-03-30 06:10:52

143

Views

Is the number of ways to express a number as sum of two coprime squares same as number of solution of $x^2+1\equiv0\pmod n$

Published on 30 Mar 2026 - 6:10

score 80 · Answer 13 · 2026-04-01 00:42:04

80

Views

Is there a comprehensive list of complexity theoretic reductions from and to prime number factorization?

Published on 01 Apr 2026 - 0:42

score 79 · Answer 14 · 2022-03-22 08:32:48

79

Views

Is there any way to find a row of numbers with many prime factors?

Published on 22 Mar 2022 - 8:32

score 87 · Answer 15 · 2022-03-31 13:15:39

87

Views

Can I make use of the "high" exponents here?

Published on 31 Mar 2022 - 13:15

List Question

Is it practical to find actual very large prime numbers (such as those up to 100 digits)?

Bounds on prime factors of minors of an integer matrix

Sequences of consecutive "fair" positive integers

Let a rational number $\frac{a}{b}$ in its lowest form where $a$,$b$ are integers, with $0 < \frac{a}{b}< 1$, b > 1. How many of these have $ab = 15!$

pattern in max number of distinct prime factors of any number in [1,n]

Using Least Common Multiple to find the number of rectangle pieces of a given size to fit a square surface

Show that there are infinitely many functions $f:\mathbb N\rightarrow\mathbb N$ satisfying $f(2)=2$ and$f(mn)=f(m)f(n) \forall m,n\in \mathbb N$

Notation for the number of $n$'s in $x$'s prime factorization

What are the integers that lack unique factorization in $\mathbb Z[\zeta_n],$ $n= 23$?

Let $\mathbb{Z}[i]$ denote the Gaussian integers. Factor both $3+i$ and its norm into primes in $\mathbb{Z}[i]$

Is there any variation known to the sum of two squares theorem?

Is the number of ways to express a number as sum of two coprime squares same as number of solution of $x^2+1\equiv0\pmod n$

Is there a comprehensive list of complexity theoretic reductions from and to prime number factorization?

Is there any way to find a row of numbers with many prime factors?

Can I make use of the "high" exponents here?

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