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A proof demonstrates infinitely many primes exist for which 2p+1 is also prime, highlighting number theory's richness.
Preprint v1 — A proof that there are infinitely many primes p such that 2p+1 is also 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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