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 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.
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 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.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text: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.
401
Every odd number (make a list) →
greater than 5 (fix the above list!) →
3031
can be expressed as →
L97,106
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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