Question

Is eight is the most common number of divisors of integers?

score 410 · Answer 1 · 2026-04-15 11:34:18

410

Views

Is eight is the most common number of divisors of integers?

Published on 15 Apr 2026 - 11:34

score 372 · Answer 2 · 2026-04-15 04:34:05

372

Views

Stuck with extended Euclidean algorithm.

Published on 15 Apr 2026 - 4:34

score 81 · Answer 3 · 2026-04-14 05:00:57

81

Views

When does $\frac{a+b}{2}$ and $\sqrt{ab}$ have inversed tens digits and ones digits?

Published on 14 Apr 2026 - 5:00

score 431 · Answer 4 · 2026-04-15 17:59:07

431

Views

Sum of digits of numbers from $1$ to $10^n$

Published on 15 Apr 2026 - 17:59

score 307 · Answer 5 · 2026-04-15 21:28:26

Deductions about the prime factorization of odd integers $m>1$ satisfying $\frac{-3+\sqrt{1+8m}}{2}=\prod_{\substack{p\mid m\\p\text{ prime}}}(p-1)$

score 57 · Answer 6 · 2026-04-23 02:36:44

57

Views

Does $D(n)$ always depend on $\gcd(n,\sigma(n))$ when $\sigma(N)=aN+b$, $N=xn$, and $n$ is a square?

Published on 23 Apr 2026 - 2:36

score 186 · Answer 7 · 2026-04-13 11:11:08

186

Views

Why does $ord_p(a^i) =ord_p(a) = d $ when $(i,d)=1$?

Published on 13 Apr 2026 - 11:11

score 45 · Answer 8 · 2026-04-13 14:10:10

45

Views

Show that 5 is not in the following sequence of primes

Published on 13 Apr 2026 - 14:10

score 124 · Answer 9 · 2026-04-16 18:23:28

124

Views

If 3 divides $n+m$,show that $F_{n-m-1}F_n+F_{n-m}F_{n+1}$ is an even integer

Published on 16 Apr 2026 - 18:23

score 78 · Answer 10 · 2026-04-15 21:13:40

78

Views

Is it true that $13|2^n5^{2n+1}+3^{2n+1}7^{n+1}$ for all $n$?

Published on 15 Apr 2026 - 21:13

score 236 · Answer 11 · 2026-04-16 15:14:43

236

Views

For which primes $p$ is $(p-6)! \equiv 1 \mod p$ defined?

Published on 16 Apr 2026 - 15:14

score 522 · Answer 12 · 2026-04-13 07:40:59

522

Views

How many odd numbers between $0$ and $2018$ are there that the sum of its digits is an even number?

Published on 13 Apr 2026 - 7:40

score 75 · Answer 13 · 2026-04-22 06:10:51

75

Views

Surjection allowing a countable set to imply another countable set.

Published on 22 Apr 2026 - 6:10

score 151 · Answer 14 · 2026-04-10 18:37:52

151

Views

Mentally finding factors of an integer of up to three-digits.

Published on 10 Apr 2026 - 18:37

score 82 · Answer 15 · 2026-04-13 17:25:12

82

Views

Use the Euclid's Algorithm to find the value of $[23]^{-1}$ and $[42]^{-1}$ in ($\mathbb{Z}/73\mathbb{Z}) \setminus \{0\}, *$)

Published on 13 Apr 2026 - 17:25

List Question

Is eight is the most common number of divisors of integers?

Stuck with extended Euclidean algorithm.

When does $\frac{a+b}{2}$ and $\sqrt{ab}$ have inversed tens digits and ones digits?

Sum of digits of numbers from $1$ to $10^n$

Deductions about the prime factorization of odd integers $m>1$ satisfying $\frac{-3+\sqrt{1+8m}}{2}=\prod_{\substack{p\mid m\\p\text{ prime}}}(p-1)$

Does $D(n)$ always depend on $\gcd(n,\sigma(n))$ when $\sigma(N)=aN+b$, $N=xn$, and $n$ is a square?

Why does $ord_p(a^i) =ord_p(a) = d $ when $(i,d)=1$?

Show that 5 is not in the following sequence of primes

If 3 divides $n+m$,show that $F_{n-m-1}F_n+F_{n-m}F_{n+1}$ is an even integer

Is it true that $13|2^n5^{2n+1}+3^{2n+1}7^{n+1}$ for all $n$?

For which primes $p$ is $(p-6)! \equiv 1 \mod p$ defined?

How many odd numbers between $0$ and $2018$ are there that the sum of its digits is an even number?

Surjection allowing a countable set to imply another countable set.

Mentally finding factors of an integer of up to three-digits.

Use the Euclid's Algorithm to find the value of $[23]^{-1}$ and $[42]^{-1}$ in ($\mathbb{Z}/73\mathbb{Z}) \setminus \{0\}, *$)

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