Prime gap bound shrinks from 70M to 212 since Zhang's breakthrough; twin primes needs 2

IgorCarron · x · 2026-10-30

Elvis Dohmatob and Igor Carron discuss the path toward the Twin Prime Conjecture: Zhang's 2013 breakthrough proved infinitely many primes with gaps of at most 70 million, since reduced to 212 after 13 years of work, while TPC requires a gap of 2. The open question is whether the arguments can be strengthened to close that cutoff, with progress on TPC offering possible illumination.

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