CORDIS Project
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This project investigates fundamental questions about the distribution of prime numbers, focusing on patterns such as bounded gaps between primes and the existence of arithmetic progressions of primes. It aims to combine techniques from ergodic theory and harmonic analysis to explore these longstanding mathematical con…
The twin prime conjecture, that n and n+2 are infinitely often primes simultaneously, is probably the oldest unsolved problem in mathematics.
De Polignac (1849) conjectured that for every even value of h, n and n+h are infinitely often primes simultaneously.
These are the most basic problems on gaps and patterns in primes.
Another one is the conjecture of Waring (1770), stating that there are arbitrarily long arithmetic progressions (AP) of primes.
For the newest developments we cite Granville…
HUN-REN ALFRED RENYI INSTITUTE OF MATHEMATICS
HUN-REN RENYI ALFRED MATEMATIKAI KUTATOINTEZET
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