Question

Polynom divisibility

score 36 · Answer 1 · 2016-11-12 10:22:09

36

Views

Polynom divisibility

Published on 12 Nov 2016 - 10:22

score 311 · Answer 2 · 2016-11-12 11:38:22

311

Views

How can you calculate the multiplicative inverse using euclidean algorithm (I tried on an example)?

Published on 12 Nov 2016 - 11:38

score 305 · Answer 3 · 2026-03-30 12:37:16

305

Views

LCM and divisibility: $\,a,b\mid c\Rightarrow {\rm lcm}(a,b)\mid c$

Published on 30 Mar 2026 - 12:37

score 176 · Answer 4 · 2016-11-13 14:33:48

176

Views

How to prove $47 \mid 49^{n} - 2^n $ by induction

Published on 13 Nov 2016 - 14:33

score 60 · Answer 5 · 2016-11-13 19:44:27

60

Views

Two natural numbers $K$ and $L$. $K$ has $L$ divisors, $L$ has $K/2$ divisors. How many divisors has $K+2L$?

Published on 13 Nov 2016 - 19:44

score 343 · Answer 6 · 2016-11-13 21:47:48

343

Views

Prove that: If $n \in \mathbb{Z}_{m} \setminus \left\{0\right\}$ has a multiplicative inverse, then this is definitely unique

Published on 13 Nov 2016 - 21:47

score 53 · Answer 7 · 2026-03-31 07:49:44

53

Views

When does $n$ and $n+2$ are primes with $n >1$ odd integer?

Published on 31 Mar 2026 - 7:49

score 77 · Answer 8 · 2016-11-17 02:04:14

77

Views

Prove that 9 | $a_k +... +a_1+a_0$ implies that 9 | $a_k 10^k +... + a_1 10^1 + a_o 10^0$

Published on 17 Nov 2016 - 2:04

score 167 · Answer 9 · 2016-11-18 06:10:48

167

Views

Remainder of polynomial divisions(with degrees more than 1)

Published on 18 Nov 2016 - 6:10

score 351 · Answer 10 · 2016-11-18 15:54:23

351

Views

Proof by Cases involving divisibility

Published on 18 Nov 2016 - 15:54

score 70 · Answer 11 · 2016-11-18 23:01:15

70

Views

Find $m$ for that $998^m-1$ devides number $1994^m$.

Published on 18 Nov 2016 - 23:01

score 1.5k · Answer 12 · 2016-11-19 01:17:01

1.5k

Views

Show that 16 divides $ n^4 -1 $ whenever n is an odd number

Published on 19 Nov 2016 - 1:17

score 103 · Answer 13 · 2016-11-19 02:51:30

103

Views

if a,b,c,d are integers such that 5 divides ($a^4+b^4+c^4+d^4$) then 5 also divides (a+b+c+d)

Published on 19 Nov 2016 - 2:51

score 90 · Answer 14 · 2016-11-20 10:10:19

90

Views

Prove: $2730|(n^{13}-n),n\in\mathbb N$

Published on 20 Nov 2016 - 10:10

score 1.5k · Answer 15 · 2016-11-20 13:14:48

1.5k

Views

If $mn+1$ is a multiple of $24$, prove that $m+n$ is also a multiple of 24.

Published on 20 Nov 2016 - 13:14

List Question

Polynom divisibility

How can you calculate the multiplicative inverse using euclidean algorithm (I tried on an example)?

LCM and divisibility: $\,a,b\mid c\Rightarrow {\rm lcm}(a,b)\mid c$

How to prove $47 \mid 49^{n} - 2^n $ by induction

Two natural numbers $K$ and $L$. $K$ has $L$ divisors, $L$ has $K/2$ divisors. How many divisors has $K+2L$?

Prove that: If $n \in \mathbb{Z}_{m} \setminus \left\{0\right\}$ has a multiplicative inverse, then this is definitely unique

When does $n$ and $n+2$ are primes with $n >1$ odd integer?

Prove that 9 | $a_k +... +a_1+a_0$ implies that 9 | $a_k 10^k +... + a_1 10^1 + a_o 10^0$

Remainder of polynomial divisions(with degrees more than 1)

Proof by Cases involving divisibility

Find $m$ for that $998^m-1$ devides number $1994^m$.

Show that 16 divides $ n^4 -1 $ whenever n is an odd number

if a,b,c,d are integers such that 5 divides ($a^4+b^4+c^4+d^4$) then 5 also divides (a+b+c+d)

Prove: $2730|(n^{13}-n),n\in\mathbb N$

If $mn+1$ is a multiple of $24$, prove that $m+n$ is also a multiple of 24.

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