Definition:Stern Prime/Historical Note

Historical Note on Stern Prime
On reading about Goldbach's Lesser Conjecture in $1856$, and his students tested all the primes to $9000$, and found the counterexamples $5777$ and $5993$.

He then went on to investigate odd numbers, and more specifically prime numbers, that cannot be represented in the form $2 a^2 + p$ where $a > 0$, thereby disallowing the trivial $2 \times 0^2 + p = p$.

Seeming to forget about $3$, he stated that the smallest such prime number was $17$.

The primes that he and his students found were named Stern primes by  in his $1993$ paper which summarised the findings on this topic.