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The leap year problem (also known as the leap year bug or the leap day bug) is a problem for both digital (computer-related) and non-digital documentation and data storage situations which results from errors in the calculation of which years are leap years, or from manipulating dates without regard to the difference between leap years and common years.
The fraction 13/5 = 2.6 and the floor function have that effect; the denominator of 5 sets a period of 5 months. The overall function, mod 7 {\displaystyle \operatorname {mod} \,7} , normalizes the result to reside in the range of 0 to 6, which yields the index of the correct day of the week for the date being analyzed.
Bold figures (e.g., 04) denote leap year. If a year ends in 00 and its hundreds are in bold it is a leap year. Thus 19 indicates that 1900 is not a Gregorian leap year, (but 19 in the Julian column indicates that it is a Julian leap year, as are all Julian x00 years). 20 indicates that 2000 is a leap year.
Every four years (typically), a leap year occurs in February — making it 29 days long instead of the usual 28. Bob Craddock, ... “If you do the math, that five hours, 48 minutes and 56 seconds ...
If the math isn’t adding up for you, here’s what happened in 2000. ... 2000/100 = 20 ...That breaks the leap year rule, Unless… 2000/400 = 5 …Which solves that problem! Due to the rules ...
A year may be a leap year if it is evenly divisible by 4. Years divisible by 100 (century years such as 1900 or 2000) cannot be leap years unless they are also divisible by 400. (For this reason ...
{{is leap year|year}} year defaults to {{CURRENTYEAR}} (2025). It must be specified in the Gregorian calendar, extended to all epochs using linear year numbering: use the proleptic Gregorian calendar in Christian Era before the change, and the astronomical year convention (using negative numbers, and year 0) in all years BC before the Christian era (there's a difference of 1 in absolute value).
For January, January 3 is a doomsday during common years and January 4 a doomsday during leap years, which can be remembered as "the 3rd during 3 years in 4, and the 4th in the 4th year". For March, one can remember either Pi Day or " March 0 ", the latter referring to the day before March 1, i.e. the last day of February.