Question

Existence of $m \in M \subsetneq \mathbb{N}$ such that $p \nmid a+bm$, $p$ prime

score 49 · Answer 1 · 2026-04-14 11:54:30

49

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Existence of $m \in M \subsetneq \mathbb{N}$ such that $p \nmid a+bm$, $p$ prime

Published on 14 Apr 2026 - 11:54

score 86 · Answer 2 · 2026-05-05 22:36:18

86

Views

How will you determine which number is bigger among $m^n$ and $n^m$ without using a calculator, $n$ and $m$ being real?

Published on 05 May 2026 - 22:36

score 5.7k · Answer 3 · 2026-04-29 12:53:22

5.7k

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How is $(x+y)^p \equiv x^p + y^p$ mod $p$ for any prime number $p$?

Published on 29 Apr 2026 - 12:53

score 610 · Answer 4 · 2026-04-15 12:31:16

610

Views

Targeting all prime numbers with a minimal set of sinusoidal functions

Published on 15 Apr 2026 - 12:31

score 1.2k · Answer 5 · 2026-04-14 23:50:59

1.2k

Views

Recurrence relation for Pell's equation $x^2-2y^2=1$

Published on 14 Apr 2026 - 23:50

score 90 · Answer 6 · 2026-04-16 23:41:46

The order of polynomial $f(x)$ is $7$. If $f(x)+1$ can be divided by $(x-1)^4$, and $f(x)-1$ can be divided by $(x+4)^4$, can we know what $f(x)$ is?

score 3.4k · Answer 7 · 2026-04-15 14:30:21

3.4k

Views

$a-b$ divides $a^n-b^n$

Published on 15 Apr 2026 - 14:30

score 1.3k · Answer 8 · 2026-04-12 18:09:15

1.3k

Views

Computing quotient by dividing formally in $p$-adic number system

Published on 12 Apr 2026 - 18:09

score 726 · Answer 9 · 2026-03-25 12:33:08

726

Views

Application of Euler's totient function to find last digits

Published on 25 Mar 2026 - 12:33

score 267 · Answer 10 · 2026-04-17 06:28:32

267

Views

Show that $(x^2-2)(x^2-17)(x^2-34)=0$ has a root in the $p$-adic numbers $\mathbb{Q}_p$ for all primes $p$

Published on 17 Apr 2026 - 6:28

score 161 · Answer 11 · 2026-04-15 14:07:00

161

Views

Suppose that $p$ and $p^2 + 2$ are primes show that $p^3 + 2$ is prime

Published on 15 Apr 2026 - 14:07

score 51 · Answer 12 · 2026-03-25 14:25:43

51

Views

Weaker Goldbach's Conjecture: Is every number the sum of two pseudoprimes?

Published on 25 Mar 2026 - 14:25

score 72 · Answer 13 · 2026-04-16 04:03:59

72

Views

sequence 2333...3

Published on 16 Apr 2026 - 4:03

score 367 · Answer 14 · 2026-04-13 16:52:36

367

Views

Factorization of a $116$-digit number

Published on 13 Apr 2026 - 16:52

score 428 · Answer 15 · 2026-04-17 04:17:03

428

Views

All primes $p, q$ that satisfy $p \cdot q=3p +7q$

Published on 17 Apr 2026 - 4:17

List Question

Existence of $m \in M \subsetneq \mathbb{N}$ such that $p \nmid a+bm$, $p$ prime

How will you determine which number is bigger among $m^n$ and $n^m$ without using a calculator, $n$ and $m$ being real?

How is $(x+y)^p \equiv x^p + y^p$ mod $p$ for any prime number $p$?

Targeting all prime numbers with a minimal set of sinusoidal functions

Recurrence relation for Pell's equation $x^2-2y^2=1$

The order of polynomial $f(x)$ is $7$. If $f(x)+1$ can be divided by $(x-1)^4$, and $f(x)-1$ can be divided by $(x+4)^4$, can we know what $f(x)$ is?

$a-b$ divides $a^n-b^n$

Computing quotient by dividing formally in $p$-adic number system

Application of Euler's totient function to find last digits

Show that $(x^2-2)(x^2-17)(x^2-34)=0$ has a root in the $p$-adic numbers $\mathbb{Q}_p$ for all primes $p$

Suppose that $p$ and $p^2 + 2$ are primes show that $p^3 + 2$ is prime

Weaker Goldbach's Conjecture: Is every number the sum of two pseudoprimes?

sequence 2333...3

Factorization of a $116$-digit number

All primes $p, q$ that satisfy $p \cdot q=3p +7q$

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