List questions from legendre-symbol

Published on 04 Dec 2016 - 15:27

39

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Legendre symbol trouble.

Published on 10 Dec 2016 - 12:06

1.5k

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Method of solving an Associated Legendre Equation with m=0, and m not equal to 0 with explanation

Published on 23 Feb 2026 - 4:56

570

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How to solve $1+\frac12-\frac13+\frac14-\frac15-\frac16+\frac18+\ldots+\left(\frac n7\right)\frac1n+\ldots$?

Published on 29 Dec 2016 - 8:01

171

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Numbers with prescribed Legendre symbols

Published on 30 Dec 2016 - 13:17

445

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$\tau( n!(n+1) ) = 2\times\tau(n!)$. Then what is $n!\;\text{mod} \; (n+1)?$

Published on 08 Jan 2017 - 22:38

308

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Quadratic residue equal to -1 for product of primes $ \equiv 1 \mod 4$

Published on 20 Jan 2017 - 18:27

64

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Showing $\sum_{b=0}^{N-1}\left(\frac{b}{p}\right)\zeta_M^{-kb} = 0$

Published on 29 Jan 2017 - 15:59

533

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How to prove this sum related to Legendre symbol

Published on 12 Feb 2017 - 23:52

166

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A generalization of a divisibility relation for Fibonacci numbers

Published on 15 Feb 2017 - 15:28

170

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Using Legendre's symbol to prove that $47$ is a factor of the Mersenne number, $M_{23}$

Published on 25 Feb 2017 - 19:28

130

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Legendre Symbol by Fermat's little theorem.

Published on 05 Mar 2017 - 9:30

149

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Show that set of reduced residue classes is a subgroup of the multiplicative group of reduced residue classes

Published on 23 Feb 2026 - 4:42

1.2k

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How to prove that $7p + 3^p -4$ is not a perfect square?

Published on 21 Mar 2017 - 17:44

71

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$p$ an odd prime and $a,b\in\Bbb Z$ such that $ab\equiv 1\mod p$. Show that legendre symbols $({a\over p}) = ({b\over p})$

Published on 03 Apr 2017 - 13:35

List Question

Legendre Summations

Legendre symbol trouble.

Method of solving an Associated Legendre Equation with m=0, and m not equal to 0 with explanation

How to solve $1+\frac12-\frac13+\frac14-\frac15-\frac16+\frac18+\ldots+\left(\frac n7\right)\frac1n+\ldots$?

Numbers with prescribed Legendre symbols

$\tau( n!(n+1) ) = 2\times\tau(n!)$. Then what is $n!\;\text{mod} \; (n+1)?$

Quadratic residue equal to -1 for product of primes $ \equiv 1 \mod 4$

Showing $\sum_{b=0}^{N-1}\left(\frac{b}{p}\right)\zeta_M^{-kb} = 0$

How to prove this sum related to Legendre symbol

A generalization of a divisibility relation for Fibonacci numbers

Using Legendre's symbol to prove that $47$ is a factor of the Mersenne number, $M_{23}$

Legendre Symbol by Fermat's little theorem.

Show that set of reduced residue classes is a subgroup of the multiplicative group of reduced residue classes

How to prove that $7p + 3^p -4$ is not a perfect square?

$p$ an odd prime and $a,b\in\Bbb Z$ such that $ab\equiv 1\mod p$. Show that legendre symbols $({a\over p}) = ({b\over p})$

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