List questions from square-numbers

Published on 05 Mar 2020 - 4:12

57

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How to prove this by induction? Having problem in $k+1$ th step.

Published on 07 Mar 2020 - 13:02

1.9k

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How do you find the closest square number to another number without using a calculator

Published on 10 Mar 2020 - 11:59

83

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$x^3+Ax+B$ is not a square number but $x^3+Cx+D$ is a square

Published on 26 Mar 2026 - 19:02

79

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Number Theory Prove a complete square 1,11,111

Published on 23 Feb 2026 - 8:31

119

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Find all 6-digit squares which are the concatenation of three 2-digit squares

Published on 29 Mar 2026 - 8:35

563

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Finding all four-digit perfect squares of the form $XXYY$

Published on 30 Mar 2020 - 13:06

63

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$100-50\sqrt3$ to be a perfect square

Published on 01 Apr 2020 - 11:21

55

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Insights for proving $(x^2-1) = l(l+1)(l+2)(l+3)$

Published on 05 Apr 2020 - 17:54

88

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Show that if n is an even perfect number then n is not the sum of two squares.

Published on 26 Mar 2026 - 4:20

491

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Proving a quadratic equation has no integral roots

Published on 26 Mar 2026 - 9:48

298

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Find a formula for all pentagonal numbers which are also square numbers.

Published on 06 Apr 2020 - 21:50

46

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Square Modular Summation

Published on 07 Apr 2020 - 16:53

62

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Is this a new method of finding a square of any number?

Published on 09 Apr 2020 - 16:40

317

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What is the sum of this modulo series?

Published on 10 Apr 2020 - 15:26

List Question

Prove n is a perfect square if and only if $n^7$ is a perfect square, n $\in$ natural numbers

How to prove this by induction? Having problem in $k+1$ th step.

How do you find the closest square number to another number without using a calculator

$x^3+Ax+B$ is not a square number but $x^3+Cx+D$ is a square

Number Theory Prove a complete square 1,11,111

Find all 6-digit squares which are the concatenation of three 2-digit squares

Finding all four-digit perfect squares of the form $XXYY$

$100-50\sqrt3$ to be a perfect square

Insights for proving $(x^2-1) = l(l+1)(l+2)(l+3)$

Show that if n is an even perfect number then n is not the sum of two squares.

Proving a quadratic equation has no integral roots

Find a formula for all pentagonal numbers which are also square numbers.

Square Modular Summation

Is this a new method of finding a square of any number?

What is the sum of this modulo series?

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