This preprint presents a proof of infinitely many primes that are not adjacent, indicating a new insight in number theory.
Preprint v1 — A proof that infinitely many primes p have neither p-2 nor p+2 prime. Abstract redacted pending IP review. Full abstract and unrestricted access will be available in v2 upon completion of intellectual property proceedings.
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Joseph R. Keen (2026) studied this question.
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