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1. a.) Goldbach's conjecture states that every even number greater than two is the sum of two prime numbers. Make your own example (different from your group) that shows this is true. Share your example with your group and help check that each of your group members is correct! Oul or b.) What does conjecture mean? (Do a web search or look in the textbook!) Why is the above called a conjecture? Answer both parts of this question! Comtosde c.) There is a conjecture called "Goldbach's weak conjecture" (yes, really!) that every odd number greater than 5 can be expressed as the sum of three primes. (A prime may be used more than once in the same sum). Find two examples of this.

1. a.) Goldbach's conjecture states that every even number greater than two is the sum of two prime numbers. Make your own example (different from your group) that shows this is true. Share your example with your group and help check that each of your group members is correct! Oul or b.) What does conjecture mean? (Do a web search or look in the textbook!) Why is the above called a conjecture? Answer both parts of this question! Comtosde c.) There is a conjecture called "Goldbach's weak conjecture" (yes, really!) that every odd number greater than 5 can be expressed as the sum of three primes. (A prime may be used more than once in the same sum). Find two examples of this.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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1. a.) Goldbach's conjecture states that every even number greater than two is the sum of and two prime numbers. Make your own example (different from your group) that shows this is true. Share your example with your group and help check that each of your group members is correct! re oul mo b.) What does conjecture mean? (Do a web search or look in the textbook!) Why is the above called a conjecture? Answer both parts of this question! Comtos de c.) There is a conjecture called "Goldbach's weak conjecture" (yes, really!) that every odd number greater than 5 can be expressed as the sum of three primes. (A prime may be used more than once in the same sum). Find two examples of this. Step1: Understand the problem. Show your word by word translation. Every odd number (make a list) → greater than 5 (fix the above list!) → 3031 can be expressed as → 97. 1067 the sum of (what does sum mean?) → three primes (make a list of primes) → Pick your own odd number (different from your group) and show the conjecture is true for that number. Share your work with your group.
Transcribed Image Text:1. a.) Goldbach's conjecture states that every even number greater than two is the sum of and two prime numbers. Make your own example (different from your group) that shows this is true. Share your example with your group and help check that each of your group members is correct! re oul mo b.) What does conjecture mean? (Do a web search or look in the textbook!) Why is the above called a conjecture? Answer both parts of this question! Comtos de c.) There is a conjecture called "Goldbach's weak conjecture" (yes, really!) that every odd number greater than 5 can be expressed as the sum of three primes. (A prime may be used more than once in the same sum). Find two examples of this. Step1: Understand the problem. Show your word by word translation. Every odd number (make a list) → greater than 5 (fix the above list!) → 3031 can be expressed as → 97. 1067 the sum of (what does sum mean?) → three primes (make a list of primes) → Pick your own odd number (different from your group) and show the conjecture is true for that number. Share your work with your group.
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