How can I reduce exponents in a field with modulo 7?












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If I was working in a polynomial field with class of congruence to mod 7, so [0], [1], … , [6], and I wanted to reduce my exponents, for example if I had [2]x^103, how would I go about doing that?










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  • 4




    Use Fermat's little theorem: $a^pequiv apmod p$ for $p$ prime.
    – Lord Shark the Unknown
    Nov 30 at 6:14










  • @LordSharktheUnknown Why are you answering in a comment?
    – Arthur
    Nov 30 at 6:58
















0














If I was working in a polynomial field with class of congruence to mod 7, so [0], [1], … , [6], and I wanted to reduce my exponents, for example if I had [2]x^103, how would I go about doing that?










share|cite|improve this question




















  • 4




    Use Fermat's little theorem: $a^pequiv apmod p$ for $p$ prime.
    – Lord Shark the Unknown
    Nov 30 at 6:14










  • @LordSharktheUnknown Why are you answering in a comment?
    – Arthur
    Nov 30 at 6:58














0












0








0







If I was working in a polynomial field with class of congruence to mod 7, so [0], [1], … , [6], and I wanted to reduce my exponents, for example if I had [2]x^103, how would I go about doing that?










share|cite|improve this question















If I was working in a polynomial field with class of congruence to mod 7, so [0], [1], … , [6], and I wanted to reduce my exponents, for example if I had [2]x^103, how would I go about doing that?







elementary-number-theory modular-arithmetic






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edited Nov 30 at 6:22









user1551

71.2k566125




71.2k566125










asked Nov 30 at 6:11









ming

3165




3165








  • 4




    Use Fermat's little theorem: $a^pequiv apmod p$ for $p$ prime.
    – Lord Shark the Unknown
    Nov 30 at 6:14










  • @LordSharktheUnknown Why are you answering in a comment?
    – Arthur
    Nov 30 at 6:58














  • 4




    Use Fermat's little theorem: $a^pequiv apmod p$ for $p$ prime.
    – Lord Shark the Unknown
    Nov 30 at 6:14










  • @LordSharktheUnknown Why are you answering in a comment?
    – Arthur
    Nov 30 at 6:58








4




4




Use Fermat's little theorem: $a^pequiv apmod p$ for $p$ prime.
– Lord Shark the Unknown
Nov 30 at 6:14




Use Fermat's little theorem: $a^pequiv apmod p$ for $p$ prime.
– Lord Shark the Unknown
Nov 30 at 6:14












@LordSharktheUnknown Why are you answering in a comment?
– Arthur
Nov 30 at 6:58




@LordSharktheUnknown Why are you answering in a comment?
– Arthur
Nov 30 at 6:58















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