Deletable Prime/Examples/410,256,793

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Example of Deletable Prime

$410 \, 256 \, 793$ is a deletable prime.


Proof

The following sequence can be created by deleting one digit at a time from $410 \, 256 \, 793$:

\(\ds 410 \, 256 \, 793\) \(\) \(\ds \) is prime
\(\ds 41 \, 256 \, 793\) \(\) \(\ds \) is the $2 \, 505 \, 395$th prime
\(\ds 4 \, 125 \, 673\) \(\) \(\ds \) is the $294 \, 437$th prime
\(\ds 415 \, 673\) \(\) \(\ds \) is the $35 \, 054$th prime
\(\ds 45 \, 673\) \(\) \(\ds \) is the $4733$rd prime
\(\ds 4567\) \(\) \(\ds \) is the $619$th prime
\(\ds 467\) \(\) \(\ds \) is the $91$st prime
\(\ds 67\) \(\) \(\ds \) is the $19$th prime
\(\ds 7\) \(\) \(\ds \) is the $4$th prime

$\blacksquare$


Sources