Question

State whether each of the following is true or false:

a) Today we know that the Fermat number 225 + 1 is prime.

b) The Fermat Primes are important in geometry.

c) Fermat’s Last Theorem states that the nonlinear Diophantine equation xn + yn = zn has no nonzero integral solutions for n > 2.

d) The nonlinear Diophantine equation x2+y2 = z2 has no integral solutions.

e) As of 2010, a total of 243 Fermat Numbers are known to be composite. True False

Answer 1