Question

Is there a pandigital perfect power $p^k$ for any prime $p$?

score 322 · Answer 1 · 2026-03-28 22:28:23

322

Views

Is there a pandigital perfect power $p^k$ for any prime $p$?

Published on 28 Mar 2026 - 22:28

score 152 · Answer 2 · 2026-03-26 19:15:43

152

Views

Yet another proof that 1=0

Published on 26 Mar 2026 - 19:15

score 123 · Answer 3 · 2026-03-28 13:42:20

123

Views

I was told that any $x^{\infty}$ is undefined. Does this hold true even when $x=1$?

Published on 28 Mar 2026 - 13:42

score 1.4k · Answer 4 · 2020-01-03 19:51:24

1.4k

Views

Prove that $a^{4b}+b^{4a}\geq \frac{1}{2}$

Published on 03 Jan 2020 - 19:51

score 109 · Answer 5 · 2026-03-28 09:55:50

109

Views

Proof for a formula for trace of positive integer power of matrix

Published on 28 Mar 2026 - 9:55

score 172 · Answer 6 · 2020-01-05 18:31:26

172

Views

Find all solutions in $\mathbb{N}$ to $a^a=a^b+b^a$

Published on 05 Jan 2020 - 18:31

score 317 · Answer 7 · 2020-01-06 14:07:30

317

Views

How exactly is the function $x^a$ defined?

Published on 06 Jan 2020 - 14:07

score 71 · Answer 8 · 2020-01-06 18:08:46

71

Views

Prove that $a^{\cos(b)^2}-b^{\cos(a)^2}\leq \frac{4}{\pi}(1-\frac{\pi}{2})b+\frac{\pi}{2}-1$ and the reverse inequality .

Published on 06 Jan 2020 - 18:08

score 47 · Answer 9 · 2020-01-08 06:45:59

47

Views

Does the term 'Powers of 10' include zero and negative powers?

Published on 08 Jan 2020 - 6:45

score 511 · Answer 10 · 2020-01-10 04:01:40

511

Views

The first three terms of a geometric sequence are 3,9,27. Find the first term in the sequence which exceeds 500

Published on 10 Jan 2020 - 4:01

score 154 · Answer 11 · 2026-03-28 16:59:49

154

Views

A question about floor functions, exponents, and congruence classes

Published on 28 Mar 2026 - 16:59

score 96 · Answer 12 · 2026-03-28 15:19:58

96

Views

Reasoning about floor functions and exponents

Published on 28 Mar 2026 - 15:19

score 118 · Answer 13 · 2020-01-14 00:58:33

118

Views

What is this expression, precisely? : $2^x+3^x+4^x+5^x+6^x+7^x$

Published on 14 Jan 2020 - 0:58

score 36 · Answer 14 · 2020-01-17 09:01:31

36

Views

Calculating the Elo rating if x beats y z % of the time

Published on 17 Jan 2020 - 9:01

score 81 · Answer 15 · 2020-01-19 13:52:29

81

Views

Prove that $\exp{\Big(\frac{2b(1-(2b)^n)}{n(1-2b)}\ln(a)}\Big)+\exp{\Big(\frac{2a(1-(2a)^n)}{n(1-2a)}\ln(b)}\Big)\leq1 $

Published on 19 Jan 2020 - 13:52

List Question

Is there a pandigital perfect power $p^k$ for any prime $p$?

Yet another proof that 1=0

I was told that any $x^{\infty}$ is undefined. Does this hold true even when $x=1$?

Prove that $a^{4b}+b^{4a}\geq \frac{1}{2}$

Proof for a formula for trace of positive integer power of matrix

Find all solutions in $\mathbb{N}$ to $a^a=a^b+b^a$

How exactly is the function $x^a$ defined?

Prove that $a^{\cos(b)^2}-b^{\cos(a)^2}\leq \frac{4}{\pi}(1-\frac{\pi}{2})b+\frac{\pi}{2}-1$ and the reverse inequality .

Does the term 'Powers of 10' include zero and negative powers?

The first three terms of a geometric sequence are 3,9,27. Find the first term in the sequence which exceeds 500

A question about floor functions, exponents, and congruence classes

Reasoning about floor functions and exponents

What is this expression, precisely? : $2^x+3^x+4^x+5^x+6^x+7^x$

Calculating the Elo rating if x beats y z % of the time

Prove that $\exp{\Big(\frac{2b(1-(2b)^n)}{n(1-2b)}\ln(a)}\Big)+\exp{\Big(\frac{2a(1-(2a)^n)}{n(1-2a)}\ln(b)}\Big)\leq1 $

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