We're 99.9% sure this pattern is true, but no one can prove it

still unproven

The twin prime conjecture is still unproven. Yitang Zhang proved primes can be no more than 246 apart, a huge step. James Maynard later reduced this to 246, but the ultimate proof remains elusive.

• 🧮 The twin prime conjecture states there are infinitely many prime pairs differing by 2 (e.g., 3 & 5, 11 & 13).
• 📈 Brun's sieve method showed primes with at most 9 factors are infinitely many pairs apart.
• 🌟 Chen's theorem proved primes P exist where P+2 has at most 2 prime factors.
• 🤯 The GPY method showed primes could be arbitrarily close, but not a fixed bound.
• 🚀 Yitang Zhang's 2013 breakthrough proved a bounded gap of 70 million, later reduced to 246.

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