Palindromes & Calendar
\x05During the month of March,we celebrate Pi Day.I started to think about other special math days we might be able to celebrate.Wouldn’t you know it,we have a special day in October.October 1 is a Palindrome Day.In order to see what I mean,you need to write the date as 101.Got it?
\x05This day not special as Pi Day,because every month has at least one palindrome day,but there are still a few interesting question we can ask related to palindromes:
\x051.How many Palindrome Days are there in a year?
\x052.Which month has the most Palindrome Days?
\x053.Which month has the fewest Palindrome Days?
\x054.How many of these Palindrome Days are also Prime Days?
\x055.How many of these Palindrome Days are also Perfect Square Days?
\x05Bonus:In Many countries the standard for writing a date in numerals is to put the day before the month,so March 23 would be written as 233,and would not be a palindrome.In this system,how many Palindrome Days would there be in a year?