The answer depends on how the date is written:
ddmmyy or ddmmyyyy or mmddyy or mmddyyyy
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The Roman numeral XIII represents the number 13 and the Roman numeral MMVI represents the number 2006 so the full date would be 13th September 2006.
There are 30 days in September. 2, 3, 5, 7, 11, 13, 17, 19, 23, and 29 are prime. 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28 and 30 are composite. 1 is neither. The prime numbers have two factors. The composite numbers have more than two.
Rank Prime number Found by Found date Number of digits 1st 2^57,885,161 − 1 GIMPS 2013 January 25 17,425,170 2nd 2^43,112,609 − 1 GIMPS 2008 August 23 12,978,189 3rd 2^42,643,801 − 1 GIMPS 2009 April 12 12,837,064 4th 2^37,156,667 − 1 GIMPS 2008 September 6 11,185,272 5th 2^32,582,657 − 1 GIMPS 2006 September 4 9,808,358 6th 2^30,402,457 − 1 GIMPS 2005 December 15 9,152,052
The date 09-17-2006 can be represented by the Roman numeral IX.XVII.MMVI