Question

Find the perfect numbers of the product of two primes, $2^p-1$ and $2^{p-1}$

score 492 · Answer 1 · 2026-02-23 06:41:02

492

Views

Find the perfect numbers of the product of two primes, $2^p-1$ and $2^{p-1}$

Published on 23 Feb 2026 - 6:41

score 114 · Answer 2 · 2017-10-08 02:51:47

114

Views

check if n is a probable prime

Published on 08 Oct 2017 - 2:51

score 87 · Answer 3 · 2017-10-08 16:17:35

87

Views

How to factorize the expression $4(ab+cd)^2-\left(a^2+b^2-c^2-d^2\right)^2$?

Published on 08 Oct 2017 - 16:17

score 102 · Answer 4 · 2017-10-09 21:29:56

102

Views

Can the determinant have arbitary many distinct prime factors?

Published on 09 Oct 2017 - 21:29

score 411 · Answer 5 · 2017-10-10 17:33:28

411

Views

Given a number $N$, how many numbers less than $N$ can be written as a product of less than $k$ prime factors?

Published on 10 Oct 2017 - 17:33

score 64 · Answer 6 · 2017-10-12 15:31:29

64

Views

Find next larger number with same number of prime factors

Published on 12 Oct 2017 - 15:31

score 80 · Answer 7 · 2017-10-12 16:00:14

80

Views

Roots modulo a prime

Published on 12 Oct 2017 - 16:00

score 65 · Answer 8 · 2017-10-16 03:05:23

65

Views

Express Composite Numbers to Primes

Published on 16 Oct 2017 - 3:05

score 205 · Answer 9 · 2017-10-16 07:57:30

205

Views

(1) Sum of two factorials in two ways; (2) Value of $a^{2010}+a^{2010}+1$ given $a^4+a^3+a^2+a+1=0$.

Published on 16 Oct 2017 - 7:57

score 59 · Answer 10 · 2017-10-21 08:25:17

59

Views

Prime factors of a quadratic expression modulo $4$

Published on 21 Oct 2017 - 8:25

score 77 · Answer 11 · 2017-10-24 09:15:47

77

Views

Finding the minimum distance between two arbitrary integers in the set of positive integers under multiplication, generated by the first $k$ primes.

Published on 24 Oct 2017 - 9:15

score 802 · Answer 12 · 2017-10-24 09:34:11

802

Views

How is the Prime Number Decomposition Theorem correctly used?

Published on 24 Oct 2017 - 9:34

score 4.8k · Answer 13 · 2026-03-25 16:02:00

4.8k

Views

How many primes do I need to check to confirm that an integer $L$ is prime?

Published on 25 Mar 2026 - 16:02

score 645 · Answer 14 · 2026-03-26 14:34:45

645

Views

Prove that if p is an odd prime, the number of residues x modulo p for which both x and x+1 are quadratic residucs

Published on 26 Mar 2026 - 14:34

score 46 · Answer 15 · 2026-03-28 03:28:56

46

Views

Compare $\sum_{k=1}^n k^{\operatorname{rad}\left(\lfloor\frac{n}{k}\rfloor\right)}$ and $\sum_{k\mid n}k^{\operatorname{rad}\left(\frac{n}{k}\right)}$

Published on 28 Mar 2026 - 3:28

List Question

Find the perfect numbers of the product of two primes, $2^p-1$ and $2^{p-1}$

check if n is a probable prime

How to factorize the expression $4(ab+cd)^2-\left(a^2+b^2-c^2-d^2\right)^2$?

Can the determinant have arbitary many distinct prime factors?

Given a number $N$, how many numbers less than $N$ can be written as a product of less than $k$ prime factors?

Find next larger number with same number of prime factors

Roots modulo a prime

Express Composite Numbers to Primes

(1) Sum of two factorials in two ways; (2) Value of $a^{2010}+a^{2010}+1$ given $a^4+a^3+a^2+a+1=0$.

Prime factors of a quadratic expression modulo $4$

Finding the minimum distance between two arbitrary integers in the set of positive integers under multiplication, generated by the first $k$ primes.

How is the Prime Number Decomposition Theorem correctly used?

How many primes do I need to check to confirm that an integer $L$ is prime?

Prove that if p is an odd prime, the number of residues x modulo p for which both x and x+1 are quadratic residucs

Compare $\sum_{k=1}^n k^{\operatorname{rad}\left(\lfloor\frac{n}{k}\rfloor\right)}$ and $\sum_{k\mid n}k^{\operatorname{rad}\left(\frac{n}{k}\right)}$

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