Question

Number of elements $n \in \{1, ..., 100 \}$ such that $n^{4} - 20n^{2} + 100$ is of the form $k^{4}$ with $k$ an integer.

score 457 · Answer 1 · 2026-03-25 01:58:57

457

Views

Number of elements $n \in \{1, ..., 100 \}$ such that $n^{4} - 20n^{2} + 100$ is of the form $k^{4}$ with $k$ an integer.

Published on 25 Mar 2026 - 1:58

score 174 · Answer 2 · 2018-04-01 14:49:56

174

Views

What is the number of elements in $\{1,2,...,2018\}$ such that it can be represented by $ x^{6} + x^{5} + x^{4} + x^{3} + x^{2} + x + 1 \:\:? $

Published on 01 Apr 2018 - 14:49

score 158 · Answer 3 · 2018-04-02 05:06:54

158

Views

How t0 find numbers divisible by 3 between 200 and 400 without testing every number in the range?

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score 53 · Answer 4 · 2026-03-25 11:23:36

53

Views

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score 70 · Answer 5 · 2026-03-25 11:20:18

70

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score 640 · Answer 6 · 2018-04-05 01:28:09

640

Views

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Published on 05 Apr 2018 - 1:28

score 130 · Answer 7 · 2018-04-06 14:01:43

130

Views

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score 184 · Answer 8 · 2018-04-06 17:07:07

184

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score 3k · Answer 9 · 2026-03-22 18:03:48

3k

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score 209 · Answer 10 · 2026-03-23 03:47:38

209

Views

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Published on 23 Mar 2026 - 3:47

score 22 · Answer 11 · 2026-03-25 17:40:15

22

Views

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score 442 · Answer 12 · 2026-03-22 12:52:17

442

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110

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score 95 · Answer 14 · 2026-03-25 11:21:25

95

Views

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score 383 · Answer 15 · 2026-03-24 23:46:01

383

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Published on 24 Mar 2026 - 23:46

List Question

Number of elements $n \in \{1, ..., 100 \}$ such that $n^{4} - 20n^{2} + 100$ is of the form $k^{4}$ with $k$ an integer.

What is the number of elements in $\{1,2,...,2018\}$ such that it can be represented by $ x^{6} + x^{5} + x^{4} + x^{3} + x^{2} + x + 1 \:\:? $

How t0 find numbers divisible by 3 between 200 and 400 without testing every number in the range?

How do I find the total number of bell tollings and avoid the flagpole error?

What is the best way to solve a puzzle involving sets of information which seem in disorder?

Why is the one's digit of the product of 6 consecutive positive whole numbers is always zero?

What method can be used to solve a numeric finding puzzle involving getting the right sum?

How can I find the total number of figures in a puzzle where they seem to overlap?

What method can be used to solve a magic square problem without just guessing?

Tetris: What is the Polyomino (max 3x3) with the least probability of being useful to the player?

Derivation of proportion of population given rates

Prisoners wearing infinite stack of hats

hunting aliens probability brainteaser

How to find the least number of objects in a set involving gender?

Numbers whose decimal digits are the coefficients of its continued fraction form

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