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Goldbach's Conjecture: True or False?

Abstract

The objective: To find out if there is a number that will disprove Goldbachs Conjecture, which states that every even number greater than 2 is the sum of two primes, by writing a computer program to test numbers from 4 x 10 to the 14th power through 4 x 10 to the 15th power.

Methods/Materials

· Microsoft Qbasic
· Microsoft Visual Basic
· Dell 1.9 GHZ Pentium 4 Computer with 256 MB of RAM
· Floppy Disk
· Elementary Basic: Learning to Program Your Computer in Basic with Sherlock Holmes by Henry Ledgard and Andrew Singer, 1982
1. Learn how to program with help from Elementary Basic and computer scientist
2. Find out what numbers have already been tested to see if they are the sum of two prime numbers
3. Write the program
4. Test, revise, and fix the program
5. Run the program for 29 days

Results

The program took 29 days to search from 4 x 10 to the 14th power through 400000001068266 and the program did not find a number that disproves Goldbachs Conjuncture.

Conclusions/Discussion

The results did support my hypothesis which stated that there is not a number (in the numbers searched) that will disprove Goldbachs Conjecture. The information gained in this subject expanded our knowledge about mathmatics by using modern technology to test an old theory.

This Mathematical project tries to disprove Goldbach's Conjecture using a computer program.

Science Fair Project done By Deanna Lynn McKinstry