Friday, October 15, 2010

Perfect square dates

A full date number consists of a single eight-digit number sequence given by dd-mm-yy.

For example, today's date is : 15 October, 2010, so we write : 15102010
This number is not a square.
The prime factors of the number 15102010 are :  2 x 5 x 7 x 11 x 11 x 1783

The 21st century has 18 perfect square dates :

The first perfect square date of this century occurred on 9 Jan. 2004 
#1 --> 9 Jan. 2004 (09012004 = 3002 x 3002)
Then,
#2 --> 4 Jan. 2009 (04012009 = 2003 * 2003) 
#3 --> 3 May 2009 (03052009 = 1747 * 1747).
#4 --> 16 March 2016 (16032016 = 4004 * 4004).
#5 --> 1 Sept. 2025 (01092025 = 1045 * 1045).
#6 --> 27 Sept. 2025 (27092025 = 5205 * 5205).
#7 --> 1 Jan. 2036 (01012036 = 1006 * 1006) 
#8 --> 2 April 2041 (02042041 = 1425 * 1425) 
#9 --> 9 April 2049 (09042049 = 3007 * 3007) 
#10 -> 18 Dec. 2049 (18122049 = 4257 * 4257)
#11 -> 4 March 2064 (04032064 = 2008 * 2008)
#12 -> 5 Feb. 2081 (05022081 = 2241 * 2241) 
#13 -> 16 July 2081 (16072081 = 4009 * 4009)
#14 -> 2 Feb. 2084 (02022084 = 1422 * 1422)
#15 -> 2 June 2096 (02062096 = 1436 * 1436)
#16 -> 13 March 2100 (13032100 = 3610 * 3610) 
#17 -> 29 May 2100 (29052100 = 5390 * 5390)
#18 -> 26 Nov. 2100 (26112100 = 5110 * 5110)

The 20th century had 3 perfect square dates :

#1 --> 7 Jan. 1904 (07011904 = 2648 x 2648) 
#2 --> 6 March 1936 (06031936 = 2456 x 2456) 
#3 --> 19 June 1956 (19061956 = 4366 x 4366)


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