Question

To find smallest $n$ such that $2^{n} \equiv 111 \pmod{125} $

score 108 · Answer 1 · 2026-04-16 16:04:25

108

Views

To find smallest $n$ such that $2^{n} \equiv 111 \pmod{125} $

Published on 16 Apr 2026 - 16:04

score 141 · Answer 2 · 2026-04-11 13:42:00

141

Views

Checking whether a number is prime or not

Published on 11 Apr 2026 - 13:42

score 428 · Answer 3 · 2026-04-17 06:12:30

428

Views

Prove $(a,mn)=1\Rightarrow a^{{\rm lcm}(\phi(m), \phi(n))} \equiv 1 \pmod{\!mn} $

Published on 17 Apr 2026 - 6:12

score 301 · Answer 4 · 2026-04-13 17:10:11

301

Views

If $n$ is an integer , find all the possible values for $(8n+6,6n+3)$

Published on 13 Apr 2026 - 17:10

score 80 · Answer 5 · 2026-04-16 04:39:59

80

Views

Find the remainder from the division of $3^{2017}-1$ into $3^{403}-1$

Published on 16 Apr 2026 - 4:39

score 28 · Answer 6 · 2026-04-15 20:17:16

28

Views

Prove $\phi(p^e)\not|p^et-1$

Published on 15 Apr 2026 - 20:17

score 71 · Answer 7 · 2026-05-11 07:22:45

71

Views

There a infinity numbers of $n$ such that $ \phi (n) \equiv 0 \pmod{100} $

Published on 11 May 2026 - 7:22

score 256 · Answer 8 · 2026-04-29 12:52:07

256

Views

$n$th power residue conjecture

Published on 29 Apr 2026 - 12:52

score 49 · Answer 9 · 2026-05-10 17:16:39

49

Views

Counting 2-partitions of $\{1, 2, \cdots, n\}$ of equal size and sum

Published on 10 May 2026 - 17:16

score 59 · Answer 10 · 2026-04-15 22:09:25

59

Views

How many unique integers to be obtained by $\left\lceil\frac{F}{1:1:N}\right\rceil$?

Published on 15 Apr 2026 - 22:09

score 2.4k · Answer 11 · 2026-04-12 00:54:48

2.4k

Views

Find the smallest positive integer divisible by 63 such that the sum of its digits is also divisible by 63.

Published on 12 Apr 2026 - 0:54

score 47 · Answer 12 · 2026-04-24 03:08:16

47

Views

For every natural number $a \ge 2$, every natural number $m$ can be written in base $a$

Published on 24 Apr 2026 - 3:08

score 351 · Answer 13 · 2026-04-16 09:44:13

351

Views

Smallest positive integer that is divisble by 2, 3 and 5 and that is also a perfect square and perfect cube

Published on 16 Apr 2026 - 9:44

score 104 · Answer 14 · 2026-04-15 09:37:03

104

Views

The sum of all divisors of $N$ is a 2 potency iff $N$ is a product of different Mersenne primes

Published on 15 Apr 2026 - 9:37

score 54 · Answer 15 · 2026-04-13 19:03:31

54

Views

A theorem related to prime numbers

Published on 13 Apr 2026 - 19:03

List Question

To find smallest $n$ such that $2^{n} \equiv 111 \pmod{125} $

Checking whether a number is prime or not

Prove $(a,mn)=1\Rightarrow a^{{\rm lcm}(\phi(m), \phi(n))} \equiv 1 \pmod{\!mn} $

If $n$ is an integer , find all the possible values for $(8n+6,6n+3)$

Find the remainder from the division of $3^{2017}-1$ into $3^{403}-1$

Prove $\phi(p^e)\not|p^et-1$

There a infinity numbers of $n$ such that $ \phi (n) \equiv 0 \pmod{100} $

$n$th power residue conjecture

Counting 2-partitions of $\{1, 2, \cdots, n\}$ of equal size and sum

How many unique integers to be obtained by $\left\lceil\frac{F}{1:1:N}\right\rceil$?

Find the smallest positive integer divisible by 63 such that the sum of its digits is also divisible by 63.

For every natural number $a \ge 2$, every natural number $m$ can be written in base $a$

Smallest positive integer that is divisble by 2, 3 and 5 and that is also a perfect square and perfect cube

The sum of all divisors of $N$ is a 2 potency iff $N$ is a product of different Mersenne primes

A theorem related to prime numbers

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