leap year starting on Monday

{{Short description|none}}

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. The most recent year of such kind was 2024, and the next one will be 2052 in the Gregorian calendar{{cite web|url=https://webspace.science.uu.nl/~gent0113/calendar/isocalendar.htm |author=Robert van Gent |title=The Mathematics of the ISO 8601 Calendar |publisher=Utrecht University, Department of Mathematics |date=2017 |access-date=20 July 2017}} or, likewise, 2008 and 2036 in the obsolete Julian calendar.

Any leap year that starts on Monday has two Friday the 13ths: those two in this leap year occur in September and December. Common years starting on Tuesday share this characteristic.

Calendars

{{calendar|year=2024|show_year=off|title=Calendar for any leap year starting on Monday,
presented as common in many English-speaking areas}}

{{calendar|year=2024|show_year=off|format=iso|row=3|zero=0|title=ISO 8601-conformant calendar with week numbers for
any leap year starting on Monday (dominical letter GF)}}

Applicable years

= Gregorian Calendar =

Leap years that begin on Monday, along with those starting on Saturday and Thursday, occur least frequently: 13 out of 97 (≈ 13.4%) total leap years in a 400-year cycle of the Gregorian calendar. Their overall frequency is thus 3.25% (13 out of 400) of years.

class="wikitable"

|+ Gregorian leap years starting on Monday

!scope=row| Decade

! 1st !! 2nd !! 3rd !! 4th !! 5th !! 6th !! 7th !! 8th !! 9th !! 10th

style="opacity: 0.5;"

! style="background-color:#efefef;" | 16th century

| colspan="8" | prior to first adoption (proleptic)

1596
17th century

|

|

|1624

|

|

|1652

|

|1680

|

|

style="background-color:#efefef;" | 18th century

| || 1720 || || || 1748 || || || 1776 || ||

style="background-color:#efefef;" | 19th century

| || 1816 || || || 1844 || || || 1872 || ||

style="background-color:#efefef;" | 20th century

| || 1912 || || 1940 || || || 1968 || || || 1996

style="background-color:#efefef;" | 21st century

| || || 2024 || || || 2052 || || 2080 || ||

style="background-color:#efefef;" | 22nd century

| || 2120 || || || 2148 || || || 2176 || ||

style="background-color:#efefef;" | 23rd century

| || 2216 || || || 2244 || || || 2272 || ||

style="background-color:#efefef;" | 24th century

| || 2312 || || 2340 || || || 2368 || || || 2396

style="background-color:#efefef;" | 25th century

| || || 2424 || || || 2452 || || 2480 || ||

style="background-color:#efefef;" | 26th century

| || 2520 || || || 2548 || || || 2576 || ||

style="background-color:#efefef;" | 27th century

| || 2616 || || || 2644 || || || 2672 || ||

class="wikitable"

|+ 400-year cycle

0–99

| 24 || 52 || 80 ||

100–199

| 120 || 148 || 176 ||

200–299

| 216 || 244 || 272 ||

300–399

| 312 || 340 || 368 || 396

= 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).

class="wikitable"

|+ Julian leap years starting on Monday

!scope=row| Decade

! 1st !! 2nd !! 3rd !! 4th !! 5th !! 6th !! 7th !! 8th !! 9th !! 10th

style="background-color:#efefef;" | 14th century

| 1308 || || || 1336 || || || 1364 || || ||1392

style="background-color:#efefef;" | 15th century

| || 1420 || || || 1448 || || || 1476 || ||

style="background-color:#efefef;" | 16th century

| 1504 || || || 1532 || || 1560 || || || 1588 ||

style="background-color:#efefef;" | 17th century

| || 1616 || || || 1644 || || || 1672 || || 1700

style="background-color:#efefef;" | 18th century

| || || 1728 || || || 1756 || || || 1784 ||

style="background-color:#efefef;" | 19th century

| || 1812 || || 1840 || || || 1868 || || || 1896

style="background-color:#efefef;" | 20th century

| || || 1924 || || || 1952 || || 1980 || ||

style="background-color:#efefef;" | 21st century

| 2008 || || || 2036 || || || 2064 || || || 2092

style="background-color:#efefef;" | 22nd century

| || 2120 || || || 2148 || || || 2176 || ||

Holidays

= International =

= Roman Catholic Solemnities =

= Australia and New Zealand =

= British Isles =

= Canada =

= United States =

References

{{Commons category}}

{{Reflist}}

{{List of calendars}}

{{DEFAULTSORT:Leap Year Starting On Monday}}

Category:Gregorian calendar

Category:Monday