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
- Weisstein, Eric W. "Deletable Prime." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/DeletablePrime.html