Prime Number Days

From MEI Maths of the Month:

The ISO standard for writing dates is YYYY-MM-DD: e.g. the 1st August 2015 is 2015-08-01.

The 21st August 2015 is a Prime Number Day because 20150821 is a prime number.

BADGING:  

Does the year 2015 contain any other Prime Number Days?

List the next three Prime Number Days that will occur after 2015-08-21

Is there a possibility that there will ever be two consecutive Prime Number Days?  If so, when might they occur.  If not, why not? Explain in a brief paragraph your reasoning.

Use this website to help you with your search for Prime Number Days.

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