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Number Theory
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Twin Prime Conjecture
Are there infinitely many primes p such that p + 2 is also prime? Bounded-gap breakthroughs brought us close — the infinite twin-prime statement remains open.
- Impact
- 76 /100
- Funded
- $8,900
- Donors
- 178
- Of goal
- 59%
Why this matters
Twin primes are the simplest pattern in the primes that still resists proof. A resolution would crown the bounded-gap program and sharpen sieve methods used across analytic number theory.
What a solution unlocks
- Stronger sieve and GPY-type methods
- Progress on prime tuples of longer patterns
- New insight into prime correlations
Downstream impact
Techniques forged here routinely migrate into cryptography, random models of primes, and adjacent conjectures such as Goldbach-type problems.
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