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Does every linear integer polynomial give a square at some integer?

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#elementary-number-theory #diophantine-equations #square-numbers #quadratic-residues
123
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Quadratic Residues For Odd Modulo

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#number-theory #modular-arithmetic #integers #quadratic-residues
1k
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Prove that ($\frac{-2}{p}$)= 1 if and only if p is of the form $8k + 1$ or $8k + 3$

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#number-theory #prime-numbers #divisibility #quadratic-residues #legendre-symbol
45
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Factorization and Quadratic Non-Residue

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#finite-groups #factoring #quadratic-residues
132
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The first $4$ primes $p$ for which $15347$ has a square root mod $p$ are $2, 17, 23,$ and $29$

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#calculus #number-theory #quadratic-residues
490
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How can I use primitive roots to prove that there are the same number of quadratic residues as non-residues?

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#number-theory #quadratic-residues #primitive-roots #legendre-symbol
1.8k
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Prove that there are as many quadratic residues mod p as there are quadratic non-residues mod p

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#number-theory #elementary-number-theory #quadratic-residues
73
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What do I gain if a number is Quadratic residues?

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#elementary-number-theory #quadratic-residues
77
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Quadratic residues and euler equation

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#elementary-number-theory #congruences #quadratic-residues #legendre-symbol
318
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Quadratic reciprocity: Tell if $c$ got quadratic square root mod $p$

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#elementary-number-theory #quadratic-residues #quadratic-reciprocity
512
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Legendre symbol, what is it?

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#elementary-number-theory #quadratic-residues #legendre-symbol
81
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Product of the norms of two vectors w.r.t a symmetric bilinear form

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#normed-spaces #finite-fields #bilinear-form #quadratic-residues #classical-groups
171
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How to find quadratic residues in the polynomial ring $k[t]$?

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#reference-request #polynomials #quadratic-residues
369
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Product of Quadratic Residues

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#number-theory #modular-arithmetic #quadratic-residues
576
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Java Quadratic Sieve: How can I make it better?

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#number-theory #elementary-number-theory #algorithms #quadratic-residues

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