Question

Definition of a powersmooth number

score 414 · Answer 1 · 2021-06-15 02:12:08

414

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Definition of a powersmooth number

Published on 15 Jun 2021 - 2:12

score 152 · Answer 2 · 2021-06-26 16:15:47

152

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Given an integer sequence $a_{n+1}=a_{n}^{2}-a_{n}-1$, prove that $\forall n\in \mathbb{Z}$, $a_{n+1}$ and $2n+1$ are coprime

Published on 26 Jun 2021 - 16:15

score 25 · Answer 3 · 2021-07-03 07:43:13

25

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Does this graph of non-coprime pairs of numbers have any interesting properties?

Published on 03 Jul 2021 - 7:43

score 107 · Answer 4 · 2021-07-11 19:42:39

107

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RSA Problem : Encrypt the letter J in ASCII (decimal) with public key RSA (n=147, e=7) ...

Published on 11 Jul 2021 - 19:42

score 108 · Answer 5 · 2021-08-03 12:41:50

108

Views

Let $G$ be a non-abelian finite group. If $a\in G$ has order $2$ and $b\in G$ has order $3$, what can we say about the order of $ab$?

Published on 03 Aug 2021 - 12:41

score 73 · Answer 6 · 2021-08-29 06:36:10

73

Views

Proving formula about the least number $n$ such that $a|n$ and $b|(n+1)$, $a,b$ coprime.

Published on 29 Aug 2021 - 6:36

score 214 · Answer 7 · 2021-09-09 20:31:45

214

Views

Reformulation of Fundamental Theorem of Arithmetic

Published on 09 Sep 2021 - 20:31

score 181 · Answer 8 · 2021-09-11 20:33:53

181

Views

If $\gcd(a,b)\sim 1$, $\gcd(a,c)\sim1$, then $\gcd(a,bc)\sim1$?

Published on 11 Sep 2021 - 20:33

score 34 · Answer 9 · 2021-10-07 19:03:20

34

Views

How would I go about solving $11^{112114} \equiv x\pmod {113}$

Published on 07 Oct 2021 - 19:03

score 73 · Answer 10 · 2021-10-13 21:16:31

73

Views

Proving any two elements in recursive sequence are coprime.

Published on 13 Oct 2021 - 21:16

score 143 · Answer 11 · 2021-10-20 22:25:52

143

Views

Chinese Remainder Theorem when n values are not coprime?

Published on 20 Oct 2021 - 22:25

score 135 · Answer 12 · 2021-10-25 20:30:04

135

Views

Intuition Of Bézout's Theorem

Published on 25 Oct 2021 - 20:30

score 40 · Answer 13 · 2021-10-27 00:05:35

40

Views

Using algebraic expressions to uniquely represent all pairs of coprime nonnegative integers

Published on 27 Oct 2021 - 0:05

score 317 · Answer 14 · 2021-10-30 06:58:51

317

Views

The Frobenius Coin Problem (constructive proof)

Published on 30 Oct 2021 - 6:58

score 75 · Answer 15 · 2021-11-01 18:30:53

75

Views

Approximation of a real number via a fraction of coprimes.

Published on 01 Nov 2021 - 18:30

List Question

Definition of a powersmooth number

Given an integer sequence $a_{n+1}=a_{n}^{2}-a_{n}-1$, prove that $\forall n\in \mathbb{Z}$, $a_{n+1}$ and $2n+1$ are coprime

Does this graph of non-coprime pairs of numbers have any interesting properties?

RSA Problem : Encrypt the letter J in ASCII (decimal) with public key RSA (n=147, e=7) ...

Let $G$ be a non-abelian finite group. If $a\in G$ has order $2$ and $b\in G$ has order $3$, what can we say about the order of $ab$?

Proving formula about the least number $n$ such that $a|n$ and $b|(n+1)$, $a,b$ coprime.

Reformulation of Fundamental Theorem of Arithmetic

If $\gcd(a,b)\sim 1$, $\gcd(a,c)\sim1$, then $\gcd(a,bc)\sim1$?

How would I go about solving $11^{112114} \equiv x\pmod {113}$

Proving any two elements in recursive sequence are coprime.

Chinese Remainder Theorem when n values are not coprime?

Intuition Of Bézout's Theorem

Using algebraic expressions to uniquely represent all pairs of coprime nonnegative integers

The Frobenius Coin Problem (constructive proof)

Approximation of a real number via a fraction of coprimes.

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