Question

Prove for any odd integer $n$, $n^2-1\equiv 1\pmod{8}$

score 62 · Answer 1 · 2018-03-08 04:39:20

62

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Prove for any odd integer $n$, $n^2-1\equiv 1\pmod{8}$

Published on 08 Mar 2018 - 4:39

score 50 · Answer 2 · 2026-04-11 22:20:36

50

Views

$g(m)$ is a multiplicative fuction.

Published on 11 Apr 2026 - 22:20

score 1.8k · Answer 3 · 2026-04-12 15:38:53

1.8k

Views

How many very quiteprime positive integers are there less than 90000?

Published on 12 Apr 2026 - 15:38

score 438 · Answer 4 · 2026-04-12 19:27:01

438

Views

Finding a closed form for $\sum\limits_{\substack{0\le n\le N\\0\le m\le M}}\left|nM-Nm\right|$

Published on 12 Apr 2026 - 19:27

score 1k · Answer 5 · 2026-03-25 03:00:51

1k

Views

To find a remainder, when divided by $101$

Published on 25 Mar 2026 - 3:00

score 52 · Answer 6 · 2018-03-08 09:09:22

52

Views

Sequential closure of the sequence

Published on 08 Mar 2018 - 9:09

score 10.9k · Answer 7 · 2026-03-28 10:24:20

10.9k

Views

prove that if $p$ is a prime number, then $\sqrt{p}$ is an irrational number.

Published on 28 Mar 2026 - 10:24

score 69 · Answer 8 · 2026-03-28 16:20:41

69

Views

Show that if a prime number $p$ divides an integer $m^2$, then $p$ divides the integer $m$.

Published on 28 Mar 2026 - 16:20

score 880 · Answer 9 · 2026-04-12 20:13:27

880

Views

Finding smallest nonnegative integer x in a modulo equation

Published on 12 Apr 2026 - 20:13

score 161 · Answer 10 · 2026-04-12 20:00:26

161

Views

$2^n-1$ is prime or composite as $n$ is prime or composite [without using induction method]

Published on 12 Apr 2026 - 20:00

score 1.8k · Answer 11 · 2026-04-11 07:02:56

1.8k

Views

How to find a whole number multiple of a decimal

Published on 11 Apr 2026 - 7:02

score 39 · Answer 12 · 2026-04-12 06:06:13

39

Views

Is this equality about numbers true?

Published on 12 Apr 2026 - 6:06

score 127 · Answer 13 · 2026-04-12 17:25:57

127

Views

Dividers of a number n

Published on 12 Apr 2026 - 17:25

score 63 · Answer 14 · 2026-04-09 00:33:01

63

Views

Can you propose a conjectural $\text{Upper bound}(x)$ for the counting function of a sequence of primes arising from the Eratosthenes sieve?

Published on 09 Apr 2026 - 0:33

score 3k · Answer 15 · 2026-03-26 19:20:09

3k

Views

Find all the subrings of $Z_{12}$ and if they have a multiplicative identity

Published on 26 Mar 2026 - 19:20

List Question

Prove for any odd integer $n$, $n^2-1\equiv 1\pmod{8}$

$g(m)$ is a multiplicative fuction.

How many very quiteprime positive integers are there less than 90000?

Finding a closed form for $\sum\limits_{\substack{0\le n\le N\\0\le m\le M}}\left|nM-Nm\right|$

To find a remainder, when divided by $101$

Sequential closure of the sequence

prove that if $p$ is a prime number, then $\sqrt{p}$ is an irrational number.

Show that if a prime number $p$ divides an integer $m^2$, then $p$ divides the integer $m$.

Finding smallest nonnegative integer x in a modulo equation

$2^n-1$ is prime or composite as $n$ is prime or composite [without using induction method]

How to find a whole number multiple of a decimal

Is this equality about numbers true?

Dividers of a number n

Can you propose a conjectural $\text{Upper bound}(x)$ for the counting function of a sequence of primes arising from the Eratosthenes sieve?

Find all the subrings of $Z_{12}$ and if they have a multiplicative identity

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