A Goldbach Partition Table

The Prompt

For every even integer from 4 to 200, compute the number of distinct Goldbach partitions — the number of ways it can be written as a sum of two primes (counting order once). Plot or tabulate the results. Identify any patterns in the growth of the partition count. Compare your observations to the Goldbach comet — the scatter plot of partition counts — and to Hardy and Littlewood's 1923 conjectural asymptotic formula. Record the table, the pattern observed, and a note on what the data suggests about why the conjecture is believed to be true.

Completion Criteria

A table or plot of Goldbach partition counts for even integers 4 through 200, an identified pattern or observation, and a one-paragraph note connecting the data to the heuristic evidence for the conjecture.

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