Euler's conjecture: For any positive integer $n$, $8n+3$ can be represented as thea sum of $$8n+3=(2k-1)^2+2p$$$$8n+3=(2k-1)^2+2p,$$ where $k$ is a positive integer, and $p$ is a prime.
I want to know whether there is progress ofhas been progress on the problem?. Could you recommend some references? Thanks a lot.