Template:Sequence of the Day for August 9

Intended for: August 9, 2011

Timetable

• First draft entered by Alonso del Arte on May 8, 2011 ✓
• Draft reviewed by Daniel Forgues on August 7, 2011 ✓
• Draft approved by Alonso del Arte on August 8, 2011 ✓

Yesterday's SOTD * Tomorrow's SOTD

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A079397: Smallest prime containing

n

smaller primes as substrings of its base 10 representation.

{ 2, 13, 23, 113, 137, 1237, 1733, ... }

Since 2 is the smallest prime and it contains no smaller primes as substrings of its base 10 representation (or any other standard positional base, for that matter), it is first in this list, corresponding to

n = 0

. Next, 13 contains 3 as a substring, but we no longer consider 1 prime, but a unit. The substrings can overlap, as is the case with 113, containing as it does 11, 13 and 3 as substrings. The smallest prime in this list to contain a 9 is 23719.