If 2^n + 1 is an odd prime for some integer n, prove that n is a power of 2. (h

Step-by-step explanation:

We will prove by contradiction. Assume that is an odd prime but n is not a power of 2. Then, there exists an odd prime number p such that . Then, for some integer ,

Therefore

Here we will use the formula for the sum of odd powers, which states that, for and an odd positive number ,

Applying this formula in 1) we obtain that

.

Then, as we have that is not a prime number, which is a contradiction.

In conclusion, if is an odd prime, then n must be a power of 2.

a. turk and mcalister

b. howard, mission, and market

c. yes. since streets end some do not cross yet are not parallel to others. example: mcalister and 5th

step-by-step explanation:

parallel lines are lines which do not intersect ever and look a lot like railroad tracks. turk, mcalister and golden gate are examples of these.

intersect are streets which cross each other and a car on one can reach the other. howard, mission, and market intersect with 6th.

skew lines are lines which neither intersect nor are parallel. these lines exist here because some streets end and never intersect another like mcalister and 5th.