Question

prove by induction: $\forall n \in N, \exists k \in N: 165^{2n} - 1 = 166k$

score 92 · Answer 1 · 2019-08-15 03:48:04

92

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prove by induction: $\forall n \in N, \exists k \in N: 165^{2n} - 1 = 166k$

Published on 15 Aug 2019 - 3:48

score 4.2k · Answer 2 · 2026-03-26 18:59:02

4.2k

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Problem with showing that every Contractive Sequence is Cauchy

Published on 26 Mar 2026 - 18:59

score 155 · Answer 3 · 2026-04-02 14:33:41

155

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Certain step in proof that sequence converging to $e$ monotonically increases.

Published on 02 Apr 2026 - 14:33

score 50 · Answer 4 · 2019-08-15 10:20:07

50

Views

Proof explanation: $\sum_{k=1}^{\infty}{a_k}<\infty \implies a_k \overset{k\to \infty}\longrightarrow 0$

Published on 15 Aug 2019 - 10:20

score 108 · Answer 5 · 2026-03-29 06:07:52

108

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Lemma 3.2 of "Catalan's Conjecture" by R. Schoof.

Published on 29 Mar 2026 - 6:07

score 261 · Answer 6 · 2026-04-08 22:48:21

261

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Proof explanation, covariance operator is compact

Published on 08 Apr 2026 - 22:48

score 195 · Answer 7 · 2019-08-15 20:41:11

195

Views

Proving a specific vector space with two operations

Published on 15 Aug 2019 - 20:41

score 201 · Answer 8 · 2026-03-25 15:52:39

201

Views

Prove that if G is bipartite, then there does not exists a subgraph g in G such that g is a cycle with odd number of edges?

Published on 25 Mar 2026 - 15:52

score 1k · Answer 9 · 2026-04-09 19:54:11

1k

Views

The subset of the positive reals has no smallest element

Published on 09 Apr 2026 - 19:54

score 52 · Answer 10 · 2026-04-09 21:10:47

52

Views

Doubt in Proof of Boundedness for Continuous Functions

Published on 09 Apr 2026 - 21:10

score 103 · Answer 11 · 2019-08-16 21:41:29

103

Views

Prove that a cut is not produced by rational number

Published on 16 Aug 2019 - 21:41

score 611 · Answer 12 · 2026-03-26 17:53:29

611

Views

Number of solutions to the equation $x_1+x_2+x_3+x_4=19$ with $0\leq x_i\leq 8$

Published on 26 Mar 2026 - 17:53

score 254 · Answer 13 · 2026-04-01 00:24:19

254

Views

Doubt in Hoffman and Kunze Section 5.2 (existence of determinant)

Published on 01 Apr 2026 - 0:24

score 395 · Answer 14 · 2019-08-17 19:17:00

395

Views

Showing every continuous function $f$ on $[a,b]$ is the uniform limit of a seq of polynomials $(q_{n})$, where $q_{n}(x) = x^{n}p_{n}(x)$

Published on 17 Aug 2019 - 19:17

score 439 · Answer 15 · 2026-04-03 19:43:59

439

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Convergence of vectors in $\mathbb{R}^m$ proof - help understanding a step?

Published on 03 Apr 2026 - 19:43

List Question

prove by induction: $\forall n \in N, \exists k \in N: 165^{2n} - 1 = 166k$

Problem with showing that every Contractive Sequence is Cauchy

Certain step in proof that sequence converging to $e$ monotonically increases.

Proof explanation: $\sum_{k=1}^{\infty}{a_k}<\infty \implies a_k \overset{k\to \infty}\longrightarrow 0$

Lemma 3.2 of "Catalan's Conjecture" by R. Schoof.

Proof explanation, covariance operator is compact

Proving a specific vector space with two operations

Prove that if G is bipartite, then there does not exists a subgraph g in G such that g is a cycle with odd number of edges?

The subset of the positive reals has no smallest element

Doubt in Proof of Boundedness for Continuous Functions

Prove that a cut is not produced by rational number

Number of solutions to the equation $x_1+x_2+x_3+x_4=19$ with $0\leq x_i\leq 8$

Doubt in Hoffman and Kunze Section 5.2 (existence of determinant)

Showing every continuous function $f$ on $[a,b]$ is the uniform limit of a seq of polynomials $(q_{n})$, where $q_{n}(x) = x^{n}p_{n}(x)$

Convergence of vectors in $\mathbb{R}^m$ proof - help understanding a step?

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