Question

What is the middle digit of $3^{100000}$?

score 2.3k · Answer 1 · 2026-03-30 13:39:12

2.3k

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What is the middle digit of $3^{100000}$?

Published on 30 Mar 2026 - 13:39

score 114 · Answer 2 · 2015-02-14 17:25:34

114

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Why $2(0.3)^2$ doesn't equal $0.6^2$

Published on 14 Feb 2015 - 17:25

score 325 · Answer 3 · 2015-02-16 05:16:00

325

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Is The Statement $b^n\equiv 1\pmod n$ equivalent to "$x\mapsto b^x-x\pmod n$ is a bijection"?

Published on 16 Feb 2015 - 5:16

score 1.7k · Answer 4 · 2015-02-16 20:06:17

1.7k

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If $n$ is an odd integer, does $x+y$ divide $x^n + y^n$?

Published on 16 Feb 2015 - 20:06

score 59 · Answer 5 · 2015-02-17 01:20:47

59

Views

For odd $m\ge3$, does it follow: $\frac{x^m + y^m}{x+y} + (xy)\frac{x^{m-2} + y^{m-2}}{x+y} = x^{m-1} + y^{m-1}$

Published on 17 Feb 2015 - 1:20

score 64 · Answer 6 · 2015-02-17 09:35:50

64

Views

If $m$ is odd, does $\frac{x^m + y^m}{x+y}$ have an odd number of terms?

Published on 17 Feb 2015 - 9:35

score 44 · Answer 7 · 2015-02-17 13:45:45

44

Views

Powerseries of $b^x$

Published on 17 Feb 2015 - 13:45

score 960 · Answer 8 · 2026-03-25 15:42:13

960

Views

Is there a notation for exponentiation analog to capital-sigma notation Σ for addition and capital pi Π notation for multiplications?

Published on 25 Mar 2026 - 15:42

score 89 · Answer 9 · 2015-02-17 19:17:54

89

Views

Can this approach to showing no positive integer solutions to $p^n = x^3 + y^3$ be generalized?

Published on 17 Feb 2015 - 19:17

score 2.9k · Answer 10 · 2015-02-17 23:23:01

2.9k

Views

Finding remainder of dividing and moding large exponents

Published on 17 Feb 2015 - 23:23

score 439 · Answer 11 · 2026-04-02 09:26:51

439

Views

Coordinate Systems on the Complex Plane: Rectangular, Polar, Exponential, ... Imaginary?

Published on 02 Apr 2026 - 9:26

score 91 · Answer 12 · 2015-02-18 02:26:31

91

Views

Why reduce $64\bmod{11}$ down to $12\bmod{11}$?

Published on 18 Feb 2015 - 2:26

score 183 · Answer 13 · 2026-04-02 03:20:54

183

Views

When is square root the inverse of the square?

Published on 02 Apr 2026 - 3:20

score 75 · Answer 14 · 2015-02-18 22:23:46

75

Views

Calculate $e^{xA} $

Published on 18 Feb 2015 - 22:23

score 142 · Answer 15 · 2015-02-19 07:11:13

142

Views

Thinking about $p^n = x^m + y^m$ where $p | m$

Published on 19 Feb 2015 - 7:11

List Question

What is the middle digit of $3^{100000}$?

Why $2(0.3)^2$ doesn't equal $0.6^2$

Is The Statement $b^n\equiv 1\pmod n$ equivalent to "$x\mapsto b^x-x\pmod n$ is a bijection"?

If $n$ is an odd integer, does $x+y$ divide $x^n + y^n$?

For odd $m\ge3$, does it follow: $\frac{x^m + y^m}{x+y} + (xy)\frac{x^{m-2} + y^{m-2}}{x+y} = x^{m-1} + y^{m-1}$

If $m$ is odd, does $\frac{x^m + y^m}{x+y}$ have an odd number of terms?

Powerseries of $b^x$

Is there a notation for exponentiation analog to capital-sigma notation Σ for addition and capital pi Π notation for multiplications?

Can this approach to showing no positive integer solutions to $p^n = x^3 + y^3$ be generalized?

Finding remainder of dividing and moding large exponents

Coordinate Systems on the Complex Plane: Rectangular, Polar, Exponential, ... Imaginary?

Why reduce $64\bmod{11}$ down to $12\bmod{11}$?

When is square root the inverse of the square?

Calculate $e^{xA} $

Thinking about $p^n = x^m + y^m$ where $p | m$

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