Sophie Germain

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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אין הורדות, אין כרטיס אשראי ואין צורך בכניסה כדי לנסות!