| 11. | The integer b _ 2 = 15 is also Very Smooth Quadratic Residue modulo n.
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| 12. | Every finite field of this type has exactly quadratic residues and exactly quadratic non-residues.
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| 13. | But it is known that there are distinct quadratic residues ( mod ) ( besides 0 ).
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| 14. | Is a root of unity if and only if \ chi is the quadratic residue symbol modulo p.
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| 15. | In other words, 5 is a quadratic residue modulo p iff p is a quadratic residue modulo 5.
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| 16. | In other words, 5 is a quadratic residue modulo p iff p is a quadratic residue modulo 5.
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| 17. | But 2 is not a quadratic residue modulo 5, so it can't be one modulo 15.
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| 18. | These are the nonzero codewords of the quadratic residue code of length 7 over the field of 2 elements.
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| 19. | He became a research student of John Edensor Littlewood, working on the question of the distribution of quadratic residues.
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| 20. | This may be expressed by saying that " 1 is a quadratic residue mod " p ".
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