Sale!

MA 1971  Exercise Set III SOLVED

Original price was: $35.00.Current price is: $30.00.

Category:
Rate this product

Bridge to Higher Mathematics, MA 1971
Exercise Set III
1. If p and p + 2 are twin primes and p > 3, prove that 6|(p + 1). By definition, twin
primes are primes that differ by exactly 2, for example 17 and 19.
2. Show that √
3 is not a rational number.
3. If Fn is the nth Fermat number defined as Fn := 22
n
+ 1. Prove that Fn =
F
2
n−1−2(Fn−2−1)2
. Hint: this statement can be proven with or without induction.
4. Suppose that x and y are both odd positive integers. Please show that x
2 + y
2
is
not a perfect square. By definition, a perfect square is an integer n = k
2
for some
integer k.
5. If n ∈ Z
+, then 3|n iff three divides the sum of the digits of n.

Reviews

There are no reviews yet.

Be the first to review “MA 1971  Exercise Set III SOLVED”

Your email address will not be published. Required fields are marked *

Scroll to Top