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Product in calendar (Posted on 2024-05-27) Difficulty: 3 of 5
February 13, 1976 was an interesting date. The product of the month, day, and 2-digit year is equal to the 4-digit year:

2*13*76=1976.

Find all dates in the 20th and 21st centuries with this property.

No Solution Yet Submitted by Jer    
Rating: 4.0000 (1 votes)

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Solution computer solution | Comment 2 of 3 |
d=datetime(1900,1,1);
d.Format='yyyy/MMM/dd';
while d<=datetime(2099,12,31)
  ymd=(datevec(d));
  ymd=ymd(1:3);
  if ymd(2)*ymd(3)*mod(ymd(1),100)==ymd(1)
    disp(d)
  end
  d=d+1;
end

finds

>> productInCalendar
   1920/Apr/24
   1920/Jun/16
   1920/Aug/12
   1920/Dec/08
   1925/Jul/11
   1925/Nov/07
   1938/Mar/17
   1950/Mar/13
   1976/Jan/26
   1976/Feb/13
   1995/Jan/21
   1995/Mar/07
   1995/Jul/03
   2016/Jun/21
   2016/Jul/18
   2016/Sep/14
   2025/Mar/27
   2025/Sep/09
   2040/Mar/17
   2080/Jan/26
   2080/Feb/13
>> 

Note: 2100 excluded because the product would be zero -- but it is part of the 21st century.

  Posted by Charlie on 2024-05-27 09:38:50
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