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Oh that makes sense since there would be more factorization than you think 🤔 If you misclassify 5, 6 as a prime pair, then 30 has 3 factorizations instead of 1 so 3x weaker... and once you find one factorization the right one is probably easy to get to...
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exactly. i think of primes as being this hardened structure that preserves the independence of all of its children (smaller numbers), in that none of them has a more specialized relationship to it and thus they are all equally protected by “anonymity”
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So to answer your original question, to be a false prime would feel like being the crack in dam among several where it ruptures under pressure. You’d feel very unlucky being blamed for a failure that’s really systemic.
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well yes that’s the latent possibility that would exist in a world where you chose a false prime — the possibility for someone to observe this aspect of your number choice would exist. the more likely scenario is that you would never know you ended up in this world
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