- Thread starter
- #1
With the term 'twin primes' are defined pairs of prime numbers $p_{1},p{2}$ where $p_{2}= p_{1} + 2$... examples are $5-7$, $11-13$, $17-19$ and so one... the general opinion is that the 'twin primes' are infinite but nobody till now has demonstrated that... may be that one of Your students will meet this remarkable goal!...What are the most interesting examples of unsolved problems in number theory which an 18 year can understand?
Actually there are two 'Goldback's Conjectures', the Goldback's weak conjecture originally proposed by Goldback in a famous letter sent to Euler in 1742 and that extablishes that...Wasn't the Goldbach conjecture proved recently?