Find counter - examples to disprove the following statements :
`n^(2)-n+41` is a prime for all positive integers n.

Find counter - examples to disprove the following statements : 2n^(2)+11 is a prime for all whole numbers n.

Find counter examples to disprove the following statements: Every rectangle is a square.

Find counter - examples to disprove the following statements : A quadrilateral with all sides equal is a square.

Find counter examples to disprove the following statements: Two triangles are congruent if all their corresponding angles are equal.

Find counter - examples to disprove the following statements : A quadrilateral with all angles equal is a square.

Find counter - examples to disprove the following statements : For integers a and b, sqrt(a^(2)+b^(2))=a+b

Find counter - examples to disprove the following statements : If the corresponding angles in two triangles are equal, then the triangles are congruent.

Prove that 2^(n) gt n for all positive integers n.

Find counter examples to disprove the following statements: For any integers x and y, sqrt(x^(2) + y^(2)) = x+y

Prove that n^(2)-n is divisible by 2 for every positive integer n.