Comparing with Ratios, Fractions and Percents

Due Tuesday:

1.) Starts on page 24, #1-3 and #9-13

2.) Pows- Please pick 2 options. One will count for this week and one for next week.

In the 17th century, Christian Goldbach developed an idea about prime numbers. He stated that every even integer greater than 2 can be written as the sum of two prime numbers. He had strong evidence to support his idea but he was unable to prove that his idea is true. Today this idea is known as Goldbach’s conjecture and still remains to be proven even though there have been many attempts to do so.


OPTION 1: What is the greatest positive difference between two prime numbers whose sum is 18?

OPTION 2: Which two-digit even whole number can be expressed as the sum of two prime numbers whose positive difference is the greatest?

OPTION 3: Another conjecture called the “Weak conjecture” stated by Goldback says that any odd integer greater than 5 can be expressed as the sum of 3 prime numbers. In how many ways can 21 be expressed as the sum of 3 prime numbers?

OPTION 4: In the 18th century Leonhard Euler stated a formula to generate prime numbers. The formula is : P(x) = x2 + x + 17, where x is a whole number. What is the least whole number n such that P(n) is not prime?