The work of Group i don't know of Camp Euclid 2021 for looking different trends through plots on Goldbach's Conjecture.
We used Numpy and primePy for extracting primes and analyzing the different combinations for writing an even number larger than 2 as the sum of 2 prime numbers. Afterwards, we used Matplotlib to plot our data and color the multiples of some particular numbers in different colors to look for different trends.
Also, we used Prime Number Theorem to look for lower bound and upper bound at the plots we created.
In "data2.npy", there is the possible ways to write every number n in 4 <= n <= 100000 as the sum of two prime numbers.
For in-detail explanations, please check this document: https://drive.google.com/file/d/1QDIzaCsB42o8wWy6bwBmV-aV-X1kf2n2/view?usp=sharing
Here are some examples of the plots we created:
