User Greg Martin - Mathematics Stack Exchange

200 votes

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Meaning of Rays in Polar Plot of Prime Numbers

answered Aug 2, 2014 at 23:36

83 votes

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Can there be an injective function whose derivative is equivalent to its inverse function?

answered Aug 31, 2016 at 6:43

79 votes

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A curious equality of integrals involving the prime counting function?

answered Feb 27, 2019 at 5:07

63 votes

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Is an infinite composition of bijections always a bijection?

answered Aug 10, 2024 at 20:01

53 votes

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Sum of odd numbers can never equal their least common multiple

answered Jan 14, 2025 at 17:04

44 votes

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Simple proof Euler–Mascheroni $\gamma$ constant

answered Jan 7, 2014 at 1:07

43 votes

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How can I prove that $\gcd(a,b)=1\implies \gcd(a^2,b^2)=1$ without using prime decomposition?

answered Oct 25, 2011 at 8:11

40 votes

Can any analytic function be written as the difference of two monotonically increasing analytic functions?

answered Aug 5, 2024 at 3:04

40 votes

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Why dividing equation by absolute value gives bad result

answered Sep 18, 2023 at 16:33

39 votes

Regarding a Coin Toss Experiment by Neil DeGrasse Tyson, and its validity

answered May 25, 2024 at 3:13

39 votes

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How do we know we're finding all of the zeros to Riemann zeta function?

answered Aug 2, 2025 at 21:38

38 votes

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Why am I getting a finite integral for infinite area?

answered Feb 9, 2024 at 7:27

36 votes

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Are matrices always diagonalizable in the complex field?

answered Sep 14, 2016 at 18:24

36 votes

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Can we permute the coefficients of a polynomial so that it has NO real roots?

answered Mar 27, 2016 at 20:50

31 votes

Is there a matrix of every size with all its submatrices invertible?

answered Aug 8, 2016 at 19:29

31 votes

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Analyzing a student's mistake in solving the system $c_2\sin{p}+c_1\cos{p}-c_1= c_1 p\sin{p}-c_2p\cos{p}+c_2p =0$ for $p$

answered Feb 7, 2025 at 23:33

31 votes

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How slowly can a series grow to be convergent?

answered Sep 4, 2021 at 3:20

27 votes

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Question on the "empty function"

answered Feb 21, 2023 at 23:20

27 votes

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Finding $\lim\limits_{n \to \infty}{\frac{1^1+2^2+3^3+\cdots+n^n}{n^n}}$

answered Oct 29, 2011 at 20:01

25 votes

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Confused about the definition of a limit point

answered Sep 3, 2023 at 3:04

24 votes

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Can we partition the reciprocals of $\mathbb{N}$ so that each sum equals 1

answered Nov 7, 2023 at 21:50

23 votes

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Is $\frac{1}{11}+\frac{1}{111}+\frac{1}{1111}+\cdots$ an irrational number?

answered Apr 25, 2016 at 8:26

22 votes

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General Term for the Sequence 0, 1, 5, 6, 13, 14, 18, 19, 29, 30, 34, 35, 42

answered Oct 9, 2023 at 7:34

21 votes

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Trying to calculate a limit with a finite product and WolframAlpha disagrees with my logic.

answered Dec 1, 2023 at 23:21

21 votes

Implications of Goldbach's prime number conjecture

answered Jan 22, 2025 at 18:36

21 votes

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Why is $ab$ likely to have more divisors than $(a-b)(a+b)$?

answered Feb 11, 2022 at 8:10

20 votes

How do I prove that $x^p-x+a$ is irreducible in a field with $p$ elements when $a\neq 0$?

answered Nov 13, 2011 at 8:18

19 votes

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Does the series $\sum_{n=1}^\infty\frac{\sin n}{\ln n+\cos n}$ converge?

answered Jun 21, 2014 at 1:58

18 votes

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If $\lim_{x\to\infty}\frac{f'(x)}{f(x)}=1$, is $f$ asymptotic to $\exp$?

answered Jan 11, 2022 at 6:39

18 votes

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Is $1^{1!}+2^{2!}+3^{3!}+\dots n^{n!}$ a perfect square?

answered Jul 4, 2023 at 2:53

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2,403 Answers

Meaning of Rays in Polar Plot of Prime Numbers

Can there be an injective function whose derivative is equivalent to its inverse function?

A curious equality of integrals involving the prime counting function?

Is an infinite composition of bijections always a bijection?

Sum of odd numbers can never equal their least common multiple

Simple proof Euler–Mascheroni $\gamma$ constant

How can I prove that $\gcd(a,b)=1\implies \gcd(a^2,b^2)=1$ without using prime decomposition?

Can any analytic function be written as the difference of two monotonically increasing analytic functions?

Why dividing equation by absolute value gives bad result

Regarding a Coin Toss Experiment by Neil DeGrasse Tyson, and its validity

How do we know we're finding all of the zeros to Riemann zeta function?

Why am I getting a finite integral for infinite area?

Are matrices always diagonalizable in the complex field?

Can we permute the coefficients of a polynomial so that it has NO real roots?

Is there a matrix of every size with all its submatrices invertible?

Analyzing a student's mistake in solving the system $c_2\sin{p}+c_1\cos{p}-c_1= c_1 p\sin{p}-c_2p\cos{p}+c_2p =0$ for $p$

How slowly can a series grow to be convergent?

Question on the "empty function"

Finding $\lim\limits_{n \to \infty}{\frac{1^1+2^2+3^3+\cdots+n^n}{n^n}}$

Confused about the definition of a limit point

Can we partition the reciprocals of $\mathbb{N}$ so that each sum equals 1

Is $\frac{1}{11}+\frac{1}{111}+\frac{1}{1111}+\cdots$ an irrational number?

General Term for the Sequence 0, 1, 5, 6, 13, 14, 18, 19, 29, 30, 34, 35, 42

Trying to calculate a limit with a finite product and WolframAlpha disagrees with my logic.

Implications of Goldbach's prime number conjecture

Why is $ab$ likely to have more divisors than $(a-b)(a+b)$?

How do I prove that $x^p-x+a$ is irreducible in a field with $p$ elements when $a\neq 0$?

Does the series $\sum_{n=1}^\infty\frac{\sin n}{\ln n+\cos n}$ converge?

If $\lim_{x\to\infty}\frac{f'(x)}{f(x)}=1$, is $f$ asymptotic to $\exp$?

Is $1^{1!}+2^{2!}+3^{3!}+\dots n^{n!}$ a perfect square?