Question

Number Theory - Method of Proof explanation

score 45 · Answer 1 · 2026-04-10 20:49:47

45

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Number Theory - Method of Proof explanation

Published on 10 Apr 2026 - 20:49

score 86 · Answer 2 · 2026-04-11 22:04:58

86

Views

Sum of products simplification, boolean algebra

Published on 11 Apr 2026 - 22:04

score 418 · Answer 3 · 2026-04-15 19:48:38

418

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About the parity of the product $(a_1-1)(a_2-2)\cdots(a_n-n)$

Published on 15 Apr 2026 - 19:48

score 192 · Answer 4 · 2026-04-14 05:34:15

192

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Question about how they get forms in proof of "The square of any odd int has the form 8m+1 for some int m"

Published on 14 Apr 2026 - 5:34

score 219 · Answer 5 · 2026-04-16 03:45:14

Prove that the following statements are equivalent. $n^3$ is odd, $n^2$ is odd, $1-n$ is even, $n^2+1$ is even

score 128 · Answer 6 · 2026-04-17 10:18:46

128

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Prove that $f(x)=3\sin⁡(3\pi \ x/4)\ + \ 2 \cos(\pi \ x/3)$ is neither odd or even function

Published on 17 Apr 2026 - 10:18

score 32 · Answer 7 · 2026-04-16 12:07:27

32

Views

The edge parity of the 4n vertex subgraphs of a 4n+1 vertex graph

Published on 16 Apr 2026 - 12:07

score 1.3k · Answer 8 · 2026-04-15 16:57:11

1.3k

Views

Do more numbers from 1 to 10000 inclusive have an even or odd sum of their digits?

Published on 15 Apr 2026 - 16:57

score 140 · Answer 9 · 2026-03-23 07:08:10

140

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How can I check the parity of transcendental functions?

Published on 23 Mar 2026 - 7:08

score 1.3k · Answer 10 · 2026-04-14 01:02:10

1.3k

Views

Negation of a quantified statement about odd integers

Published on 14 Apr 2026 - 1:02

score 393 · Answer 11 · 2026-04-15 22:16:02

393

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Solutions of: $P(x)=\displaystyle x^{2016}+(2016!+1!) x^{2015}+(2015!+2!) x^{2014}+ \cdots + (1!+2016!)$

Published on 15 Apr 2026 - 22:16

score 647 · Answer 12 · 2026-04-08 00:07:02

647

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How do I check the parity of a function using Maple's symbolic math?

Published on 08 Apr 2026 - 0:07

score 2.2k · Answer 13 · 2026-04-16 20:30:42

2.2k

Views

Is it widely-known that "every odd number can be expressed as a sum of consecutive odd numbers except the odd primes"?

Published on 16 Apr 2026 - 20:30

score 2.1k · Answer 14 · 2026-04-16 15:11:40

2.1k

Views

Prove the following: If $m$ and $n$ are even integers, then so are $m+n$

Published on 16 Apr 2026 - 15:11

score 385 · Answer 15 · 2026-04-17 05:10:40

385

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Let $n$ be an integer. Prove that there exist $k, m$ integers such that $n=2^km$

Published on 17 Apr 2026 - 5:10

List Question

Number Theory - Method of Proof explanation

Sum of products simplification, boolean algebra

About the parity of the product $(a_1-1)(a_2-2)\cdots(a_n-n)$

Question about how they get forms in proof of "The square of any odd int has the form 8m+1 for some int m"

Prove that the following statements are equivalent. $n^3$ is odd, $n^2$ is odd, $1-n$ is even, $n^2+1$ is even

Prove that $f(x)=3\sin⁡(3\pi \ x/4)\ + \ 2 \cos(\pi \ x/3)$ is neither odd or even function

The edge parity of the 4n vertex subgraphs of a 4n+1 vertex graph

Do more numbers from 1 to 10000 inclusive have an even or odd sum of their digits?

How can I check the parity of transcendental functions?

Negation of a quantified statement about odd integers

Solutions of: $P(x)=\displaystyle x^{2016}+(2016!+1!) x^{2015}+(2015!+2!) x^{2014}+ \cdots + (1!+2016!)$

How do I check the parity of a function using Maple's symbolic math?

Is it widely-known that "every odd number can be expressed as a sum of consecutive odd numbers except the odd primes"?

Prove the following: If $m$ and $n$ are even integers, then so are $m+n$

Let $n$ be an integer. Prove that there exist $k, m$ integers such that $n=2^km$

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