| 1. | The properties of quadratic residues are widely used in number theory.
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| 2. | We can find quadratic residues or verify them using the above formula.
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| 3. | Today the quadratic residue diffusor or Schroeder diffusor is still widely used.
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| 4. | Kolbe was also an early user of quadratic residue diffusors.
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| 5. | Trivially 1 is a quadratic residue for all primes.
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| 6. | The solution can be found using quadratic residues.
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| 7. | Zero, while a square, is not considered to be a quadratic residue.
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| 8. | The quadratic residues form a group under multiplication.
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| 9. | Gauss discusses two factoring algorithms that use quadratic residues and the law of quadratic reciprocity.
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| 10. | Yes I do know about quadratic residues.
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