this post was submitted on 12 Nov 2023
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Let me try: to narrow down a bit, we take a subset of uneven numbers. We know that almost all prime numbers are even so lets pick prime numbers at random and see what happens:
5+7=12 (even)
3+11=14 (even)
13+9=22 (even)
2+2=4 (even)
I'm out of ideas but maybe someone can take this approach and land somewhere.