# Open Problems

# Number theory

- Euler: For any positive integer \(n\), \(8n+3\) can be represented as a sum \[8n+3=(2k-1)^2+2p,\]where \(k\) is a positive integer, and \(p\) is a prime.

- Euler: For any positive integer \(n\), \(8n+3\) can be represented as a sum \[8n+3=(2k-1)^2+2p,\]where \(k\) is a positive integer, and \(p\) is a prime.