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Wilson tenemos

40! = -1(mod 41)

Como 40!=40.39.38! resulta

40.39.38! =-1(mod 41)

Ahora 40 = -1(mod 41) e 39 = -2(mod 41). Asi,

40.39 = 2(mod 41)

portanto

2.38!=-1(mod 41)

uninverso de 2 modulo 41 es 62 pues 2.63 = 1 (mod 41).

De esto

38!=-62=20(mod 41)

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12y ago
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Q: What is the remainder when 38 factorial is divided by 41?
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