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A comment on Show HN: New world record – verified Goldbach Conjecture up to 4*10^18+7*10^13. Parent comment

Re:Show HN: New world record – verified Goldbach Conjecture ... by ndsipa_pomu on Saturday April 19, 2025 @09:34AM (#43736287)
Possibly, but it would join other false conjectures such as Euler's sum of powers conjecture - posed in 1769 and no counterexample found until 1966. There's only been three primitive counterexamples found so far.

(I got that from https://math.stackexchange.com/questions/514/conjectures-tha... which features some other false conjectures that may be of interest to you)

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Re:Show HN: New world record – verified Goldbach Conjecture ... by charlieyu1 on Sunday April 20, 2025 @09:01AM (#43743505)
Not even the same implications. All empirical evidence strongly support the Goldbach conjecture. Any counterexample would mean an entire field of Mathematics has to be rewritten.
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