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erdős #431 · inverse Goldbach problem

← #430 · #432 (packet.json; erdosproblems.com)

Are there two infinite sets and such that agrees with the set of prime numbers up to finitely many exceptions?

Worked, still open.

number theory · open · 0 attempts

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vela registry pull vfr_37aec80d874a0239
vela reproduce examples/erdos-problems

evidence

unverified AI candidates (2)

gpt-erdos · GPT-5.2 Pro + Deep Research · unverified

In modern language your question asks whether the prime set $P$ is **asymptotically a sumset**, i.e. whether there exist sets (A,B) (in particular, infinite, and with more than one element each) such that the **symmetric difference** [ P \triangle (A+B) ] is finite, where (A+B={a+b:a\in A,\ b\in B}). This is exactly **…

candidate solution ↗

llm-hunter · gpt pro 5.2 · unverified

1 LLM attack(s) recorded (gpt pro 5.2); unverified.

candidate solution ↗

status

open

notary

vela reproduce examples/erdos-problems
  • packet.json · sha256 f594d6d50bb4a945e5787b5cb70621cabd9888f57ccfbe10885f65e76f8b35ff

finding.noted · reviewer:will-blair · 1 day

renders the record as of vev_d199cb2e · 1,338 events · hub

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