Goldbach's other conjecture

It was proposed by Christian Goldbach that every odd composite number can be written as the sum of a prime and twice a square.

\[ 9 = 7 + 2×1^{2}\\\\ 15 = 7 + 2×2^{2}\\\\ 21 = 3 + 2×3^{2}\\\\ 25 = 7 + 2×3^{2}\\\\ 27 = 19 + 2×2^{2}\\\\ 33 = 31 + 2×1^{2} \]

It turns out that the conjecture was false.

What is the smallest odd composite that cannot be written as the sum of a prime and twice a square?