Leap year starting on Monday

A leap year starting on Monday is any year with 366 days (i.e. it includes 29 February) that begins on Monday, 1 January, and ends on Tuesday, 31 December. Its dominical letters hence are GF, such as the years 1720, 1748, 1776, 1816, 1844, 1872, 1912, 1940, 1968, 1996, 2024, 2052, 2080, and 2120 in the Gregorian calendar^[1] or, likewise, 2008, 2036, and 2064 in the obsolete Julian calendar. Any leap year that starts on Monday, Wednesday or Thursday has two Friday the 13ths. This leap year contains two Friday the 13ths in September and December. Any common year starting on Tuesday shares this characteristic.

Calendars[]

Calendar for any leap year starting on Monday,
presented as common in many English-speaking areas

ISO 8601-conformant calendar with week numbers for any leap year starting on Monday (dominical letter GF)
Template:Calendar/isoMonthStartMon	Template:Calendar/isoMonthStartThu	Template:Calendar/isoMonthStartFri	Template:Calendar/isoMonthStartMon
Template:Calendar/isoMonthStartWed	Template:Calendar/isoMonthStartSat	Template:Calendar/isoMonthStartMon	Template:Calendar/isoMonthStartThu
Template:Calendar/isoMonthStartSun	Template:Calendar/isoMonthStartTue	Template:Calendar/isoMonthStartFri	Template:Calendar/isoMonthStartSun

Applicable years[]

Gregorian Calendar[]

Leap years that begin on Monday, along with those that start on Saturday or Thursday, occur least frequently: 13 out of 97 (≈ 13.402%) total leap years of the Gregorian calendar. Their overall occurrence is thus 3.25% (13 out of 400).

Gregorian leap years starting on Monday^[1]
Decade	2nd	3rd	4th	5th	6th	7th	8th	10th
17th century		1624			1652		1680
18th century	1720			1748			1776
19th century	1816			1844			1872
20th century	1912		1940			1968		1996
21st century		2024			2052		2080
22nd century	2120			2148			2176
23rd century	2216			2244			2272
24th century	2312		2340			2368		2396
25th century		2424			2452		2480
26th century	2520			2548			2576

Template:List of calendars

Julian Calendar[]

Like all leap year types, the one starting with 1 January on a Monday occurs exactly once in a 28-year cycle in the Julian calendar, i.e. in 3.57% of years. As the Julian calendar repeats after 28 years that means it will also repeat after 700 years, i.e. 25 cycles. The year's position in the cycle is given by the formula ((year + 8) mod 28) + 1).

Julian leap years starting on Monday
Decade	1st	2nd	3rd	4th	5th	6th	7th	8th	9th	10th
14th century	1308			1336			1364			1392
15th century		1420			1448			1476
16th century	1504			1532		1560			1588
17th century		1616			1644			1672		1700
18th century			1728			1756			1784
19th century		1812		1840			1868			1896
20th century			1924			1952		1980
21st century	2008			2036			2064			2092
22nd century		2120			2148			2176

References[]

^ ^a ^b Robert van Gent (2017). "The Mathematics of the ISO 8601 Calendar". Utrecht University, Department of Mathematics. http://www.staff.science.uu.nl/~gent0113/calendar/isocalendar.htm. Retrieved 20 July 2017.

This page uses content from the English language Wikipedia. The original content was at Leap year starting on Monday. The list of authors can be seen in the page history. As with this Familypedia wiki, the content of Wikipedia is available under the Creative Commons License.

[math-1] Robert van Gent (2017). "The Mathematics of the ISO 8601 Calendar". Utrecht University, Department of Mathematics. http://www.staff.science.uu.nl/~gent0113/calendar/isocalendar.htm. Retrieved 20 July 2017.

[1]

Leap year starting on Monday

Contents

Calendars[]

Applicable years[]

Gregorian Calendar[]

Julian Calendar[]

References[]

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