Twenty Even Numbers, Decomposed

The Prompt

Select twenty even numbers — at least five of them above 100 — and find, for each, a decomposition as a sum of two primes. Work by hand or with minimal computational aid. Record each decomposition. Attend to the experience: does finding the pair feel easy, laborious, or uncertain? At what magnitude does the search begin to feel different?

Completion Criteria

The twenty even numbers, each with at least one prime-pair decomposition, and a brief note on the felt difficulty at different magnitudes.

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