Minimal Prime/Sequence

Sequence
The sequence of minimal primes begins:
 * $11$, $13$, $17$, $19$, $23$, $29$, $31$, $37$, $41$, $43$, $47$, $53$, $59$, $61$, $67$, $71$, $73$, $79$, $83$, $89$, $97$, $227$, $251$, $257$, $277$, $281$, $349$, $409$, $449$, $499$, $521$, $557$, $577$, $587$, $727$, $757$, $787$, $821$, $827$, $857$, $877$, $881$, $887$, $991$, $2087$, $2221$, $5051$, $5081$, $5501$, $5581$, $5801$, $5851$, $6469$, $6949$, $8501$, $9001$, $9049$, $9221$, $9551$, $9649$, $9851$, $9949$, $\ldots$