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Sophie Germain

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Sophie Germain

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  • A baby! (Sophie)
  • Please mother let me study math.
  • I said no! Sophie! No!
  • Go to bed and no studying math!
  • {15, 25, 35, 45, 55, 65, 75, 85, 95, 105} mod 11 = {1, 32, 243, 1024, 3125, 7776, 16807, 32768, 59049, 100000} mod 11 = {1, 10, 1, 1, 1, 10, 10, 10, 1, 10} mod 11 = {1, 10} Those numbers are not consecutive, so 11 is an auxiliary prime that works for p = 5.
  • xn + yn = zn x4k + y4k = z4k => (xk)4 + (yk)4 = (zk)4 xp + yp = zp has no integer solutions
  • The world is known with math. Sophie Germain made a big difference in the world with her number theory.
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