Deletable Prime/Sequence

Sequence of Deletable Primes
The sequence of deletable primes begins:


 * $2$, $3$, $5$, $7$, $13$, $17$, $23$, $29$, $31$, $37$, $43$, $47$, $53$, $59$, $67$, $71$, $73$, $79$, $83$, $97$, $103$, $107$, $\ldots$