Question

Numbers of distinct values obtained by inserting $+ - \times \div ()$ in $\underbrace{2\quad2 \quad2 \quad2\quad...\quad 2}_{n \text{ times}}$

score 1.8k · Answer 1 · 2026-04-14 07:30:06

1.8k

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Numbers of distinct values obtained by inserting $+ - \times \div ()$ in $\underbrace{2\quad2 \quad2 \quad2\quad...\quad 2}_{n \text{ times}}$

Published on 14 Apr 2026 - 7:30

score 49 · Answer 2 · 2026-04-16 14:03:43

49

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Proof that $\exists \space a, b, c, \in \mathbb{N} (a,b,c: (a\neq b\neq c)\land (a^2 + b^2 = c^2))$

Published on 16 Apr 2026 - 14:03

score 126 · Answer 3 · 2026-04-17 05:18:38

126

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$p$ is Prime $p \geq 5$ $\implies$ $|\{n^2 \pmod p\mid n \in [0, p-1]\}| = \frac{p+1}{2}$

Published on 17 Apr 2026 - 5:18

score 154 · Answer 4 · 2026-05-10 22:02:37

154

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Smallest $1\ 000$ digit number $x$ , such that $x$ , $x+2$ and $x+6$ are all prime?

Published on 10 May 2026 - 22:02

score 70 · Answer 5 · 2026-04-13 07:43:16

70

Views

Nitty gritty in Euclid's GCD Algorithm

Published on 13 Apr 2026 - 7:43

score 196 · Answer 6 · 2026-04-13 06:43:47

196

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RSA - Under What Circumstances does Encryption Key Also Decrypt Cyphertext?

Published on 13 Apr 2026 - 6:43

score 461 · Answer 7 · 2026-04-14 15:16:23

461

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Are $n^2-1$ and $N$ always relatively prime?

Published on 14 Apr 2026 - 15:16

score 114 · Answer 8 · 2026-05-10 15:10:19

114

Views

Proving the divisibility of $4[(n-1)!+1]+n$ by $n(n+2)$ in the condition of $n,n+2 \in P$ where $P$ is the set of prime numbers

Published on 10 May 2026 - 15:10

score 736 · Answer 9 · 2026-04-10 13:04:57

736

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Chinese Remainder Theorem solvability criterion for noncoprime moduli

Published on 10 Apr 2026 - 13:04

score 185 · Answer 10 · 2026-04-16 04:28:04

185

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Amidst $7$ prime numbers, difference of the largest and the smallest prime number is $d$. What is the highest possible value of $d$?

Published on 16 Apr 2026 - 4:28

score 202 · Answer 11 · 2026-05-11 01:53:12

202

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If $q^k n^2$ is an odd perfect number with special prime $q$, then $n^2 - q^k$ is not a square.

Published on 11 May 2026 - 1:53

score 193 · Answer 12 · 2026-04-15 17:02:29

193

Views

Elementary proof of the primes of the form $4n+3$

Published on 15 Apr 2026 - 17:02

score 103 · Answer 13 · 2026-05-10 14:05:36

103

Views

Can we prove that infinite many primes begin with any given digitstring?

Published on 10 May 2026 - 14:05

score 164 · Answer 14 · 2026-05-05 20:57:46

164

Views

Let $d(n)$ be number of positive divisors of $n$, if $d(n) = n$ then $n$ = 1 or 2.

Published on 05 May 2026 - 20:57

score 141 · Answer 15 · 2026-04-09 22:17:29

141

Views

Does there exist an infinite geometric progression whose terms are all squares

Published on 09 Apr 2026 - 22:17

List Question

Numbers of distinct values obtained by inserting $+ - \times \div ()$ in $\underbrace{2\quad2 \quad2 \quad2\quad...\quad 2}_{n \text{ times}}$

Proof that $\exists \space a, b, c, \in \mathbb{N} (a,b,c: (a\neq b\neq c)\land (a^2 + b^2 = c^2))$

$p$ is Prime $p \geq 5$ $\implies$ $|\{n^2 \pmod p\mid n \in [0, p-1]\}| = \frac{p+1}{2}$

Smallest $1\ 000$ digit number $x$ , such that $x$ , $x+2$ and $x+6$ are all prime?

Nitty gritty in Euclid's GCD Algorithm

RSA - Under What Circumstances does Encryption Key Also Decrypt Cyphertext?

Are $n^2-1$ and $N$ always relatively prime?

Proving the divisibility of $4[(n-1)!+1]+n$ by $n(n+2)$ in the condition of $n,n+2 \in P$ where $P$ is the set of prime numbers

Chinese Remainder Theorem solvability criterion for noncoprime moduli

Amidst $7$ prime numbers, difference of the largest and the smallest prime number is $d$. What is the highest possible value of $d$?

If $q^k n^2$ is an odd perfect number with special prime $q$, then $n^2 - q^k$ is not a square.

Elementary proof of the primes of the form $4n+3$

Can we prove that infinite many primes begin with any given digitstring?

Let $d(n)$ be number of positive divisors of $n$, if $d(n) = n$ then $n$ = 1 or 2.

Does there exist an infinite geometric progression whose terms are all squares

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