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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. The current year, 2024, is a leap year starting on Monday in the Gregorian calendar. The last such year was 1996 and the next such year will be 2052 in the Gregorian calendar[1] or, likewise, 2008 and 2036 in the obsolete Julian calendar. 29 February falls on Thursday.

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

Additionally, this type of year has three months (January, April, and July) beginning exactly on the first day of the week, in areas which Monday is considered the first day of the week, Common years starting on Friday share this characteristic on the months of February, March, and November.

Calendars edit

Calendar for any leap year starting on Monday,
presented as common in many English-speaking areas
January
Su Mo Tu We Th Fr Sa
01 02 03 04 05 06
07 08 09 10 11 12 13
14 15 16 17 18 19 20
21 22 23 24 25 26 27
28 29 30 31  
 
February
Su Mo Tu We Th Fr Sa
01 02 03
04 05 06 07 08 09 10
11 12 13 14 15 16 17
18 19 20 21 22 23 24
25 26 27 28 29
 
March
Su Mo Tu We Th Fr Sa
01 02
03 04 05 06 07 08 09
10 11 12 13 14 15 16
17 18 19 20 21 22 23
24 25 26 27 28 29 30
31  
April
Su Mo Tu We Th Fr Sa
01 02 03 04 05 06
07 08 09 10 11 12 13
14 15 16 17 18 19 20
21 22 23 24 25 26 27
28 29 30  
 
May
Su Mo Tu We Th Fr Sa
01 02 03 04
05 06 07 08 09 10 11
12 13 14 15 16 17 18
19 20 21 22 23 24 25
26 27 28 29 30 31  
 
June
Su Mo Tu We Th Fr Sa
01
02 03 04 05 06 07 08
09 10 11 12 13 14 15
16 17 18 19 20 21 22
23 24 25 26 27 28 29
30  
July
Su Mo Tu We Th Fr Sa
01 02 03 04 05 06
07 08 09 10 11 12 13
14 15 16 17 18 19 20
21 22 23 24 25 26 27
28 29 30 31  
 
August
Su Mo Tu We Th Fr Sa
01 02 03
04 05 06 07 08 09 10
11 12 13 14 15 16 17
18 19 20 21 22 23 24
25 26 27 28 29 30 31
 
September
Su Mo Tu We Th Fr Sa
01 02 03 04 05 06 07
08 09 10 11 12 13 14
15 16 17 18 19 20 21
22 23 24 25 26 27 28
29 30  
 
October
Su Mo Tu We Th Fr Sa
01 02 03 04 05
06 07 08 09 10 11 12
13 14 15 16 17 18 19
20 21 22 23 24 25 26
27 28 29 30 31  
 
November
Su Mo Tu We Th Fr Sa
01 02
03 04 05 06 07 08 09
10 11 12 13 14 15 16
17 18 19 20 21 22 23
24 25 26 27 28 29 30
 
December
Su Mo Tu We Th Fr Sa
01 02 03 04 05 06 07
08 09 10 11 12 13 14
15 16 17 18 19 20 21
22 23 24 25 26 27 28
29 30 31  
 
ISO 8601-conformant calendar with week numbers for
any leap year starting on Monday (dominical letter GF)
January
Wk Mo Tu We Th Fr Sa Su
01 01 02 03 04 05 06 07
02 08 09 10 11 12 13 14
03 15 16 17 18 19 20 21
04 22 23 24 25 26 27 28
05 29 30 31  
   
February
Wk Mo Tu We Th Fr Sa Su
05 01 02 03 04
06 05 06 07 08 09 10 11
07 12 13 14 15 16 17 18
08 19 20 21 22 23 24 25
09 26 27 28 29  
   
March
Wk Mo Tu We Th Fr Sa Su
09 01 02 03
10 04 05 06 07 08 09 10
11 11 12 13 14 15 16 17
12 18 19 20 21 22 23 24
13 25 26 27 28 29 30 31
   
April
Wk Mo Tu We Th Fr Sa Su
14 01 02 03 04 05 06 07
15 08 09 10 11 12 13 14
16 15 16 17 18 19 20 21
17 22 23 24 25 26 27 28
18 29 30  
   
May
Wk Mo Tu We Th Fr Sa Su
18 01 02 03 04 05
19 06 07 08 09 10 11 12
20 13 14 15 16 17 18 19
21 20 21 22 23 24 25 26
22 27 28 29 30 31  
   
June
Wk Mo Tu We Th Fr Sa Su
22 01 02
23 03 04 05 06 07 08 09
24 10 11 12 13 14 15 16
25 17 18 19 20 21 22 23
26 24 25 26 27 28 29 30
   
July
Wk Mo Tu We Th Fr Sa Su
27 01 02 03 04 05 06 07
28 08 09 10 11 12 13 14
29 15 16 17 18 19 20 21
30 22 23 24 25 26 27 28
31 29 30 31  
   
August
Wk Mo Tu We Th Fr Sa Su
31 01 02 03 04
32 05 06 07 08 09 10 11
33 12 13 14 15 16 17 18
34 19 20 21 22 23 24 25
35 26 27 28 29 30 31  
   
September
Wk Mo Tu We Th Fr Sa Su
35 01
36 02 03 04 05 06 07 08
37 09 10 11 12 13 14 15
38 16 17 18 19 20 21 22
39 23 24 25 26 27 28 29
40 30  
October
Wk Mo Tu We Th Fr Sa Su
40 01 02 03 04 05 06
41 07 08 09 10 11 12 13
42 14 15 16 17 18 19 20
43 21 22 23 24 25 26 27
44 28 29 30 31  
   
November
Wk Mo Tu We Th Fr Sa Su
44 01 02 03
45 04 05 06 07 08 09 10
46 11 12 13 14 15 16 17
47 18 19 20 21 22 23 24
48 25 26 27 28 29 30
   
December
Wk Mo Tu We Th Fr Sa Su
48 01
49 02 03 04 05 06 07 08
50 09 10 11 12 13 14 15
51 16 17 18 19 20 21 22
52 23 24 25 26 27 28 29
01 30 31  

Applicable years edit

Gregorian Calendar edit

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

Gregorian leap years starting on Monday[1]
Decade 1st 2nd 3rd 4th 5th 6th 7th 8th 9th 10th
16th century prior to first adoption (proleptic) 1596
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
27th century 2616 2644 2672
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 edit

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

Holidays edit

International edit

Roman Catholic Solemnities edit

Australia and New Zealand edit

British Isles edit

Canada edit

United States edit

References edit

  1. ^ a b Robert van Gent (2017). "The Mathematics of the ISO 8601 Calendar". Utrecht University, Department of Mathematics. Retrieved 20 July 2017.

leap, year, starting, monday, leap, year, starting, monday, year, with, days, includes, february, that, begins, monday, january, ends, tuesday, december, dominical, letters, hence, current, year, 2024, leap, year, starting, monday, gregorian, calendar, last, s. 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 current year 2024 is a leap year starting on Monday in the Gregorian calendar The last such year was 1996 and the next such year will be 2052 in the Gregorian calendar 1 or likewise 2008 and 2036 in the obsolete Julian calendar 29 February falls on Thursday Any leap year that starts on Monday Wednesday or Thursday has two Friday the 13ths those two in this leap year occur in September and December Common years starting on Tuesday share this characteristic Additionally this type of year has three months January April and July beginning exactly on the first day of the week in areas which Monday is considered the first day of the week Common years starting on Friday share this characteristic on the months of February March and November Contents 1 Calendars 2 Applicable years 2 1 Gregorian Calendar 2 2 Julian Calendar 3 Holidays 3 1 International 3 2 Roman Catholic Solemnities 3 3 Australia and New Zealand 3 4 British Isles 3 5 Canada 3 6 United States 4 ReferencesCalendars editCalendar for any leap year starting on Monday presented as common in many English speaking areasJanuary Su Mo Tu We Th Fr Sa 0 1 0 2 0 3 0 4 0 5 0 6 0 7 0 8 0 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 February Su Mo Tu We Th Fr Sa 0 1 0 2 0 3 0 4 0 5 0 6 0 7 0 8 0 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 March Su Mo Tu We Th Fr Sa 0 1 0 2 0 3 0 4 0 5 0 6 0 7 0 8 0 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 April Su Mo Tu We Th Fr Sa 0 1 0 2 0 3 0 4 0 5 0 6 0 7 0 8 0 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 May Su Mo Tu We Th Fr Sa 0 1 0 2 0 3 0 4 0 5 0 6 0 7 0 8 0 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 June Su Mo Tu We Th Fr Sa 0 1 0 2 0 3 0 4 0 5 0 6 0 7 0 8 0 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 July Su Mo Tu We Th Fr Sa 0 1 0 2 0 3 0 4 0 5 0 6 0 7 0 8 0 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 August Su Mo Tu We Th Fr Sa 0 1 0 2 0 3 0 4 0 5 0 6 0 7 0 8 0 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 September Su Mo Tu We Th Fr Sa 0 1 0 2 0 3 0 4 0 5 0 6 0 7 0 8 0 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 October Su Mo Tu We Th Fr Sa 0 1 0 2 0 3 0 4 0 5 0 6 0 7 0 8 0 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 November Su Mo Tu We Th Fr Sa 0 1 0 2 0 3 0 4 0 5 0 6 0 7 0 8 0 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 December Su Mo Tu We Th Fr Sa 0 1 0 2 0 3 0 4 0 5 0 6 0 7 0 8 0 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 ISO 8601 conformant calendar with week numbers forany leap year starting on Monday dominical letter GF January Wk Mo Tu We Th Fr Sa Su 01 01 02 03 04 05 06 07 02 08 09 10 11 12 13 14 03 15 16 17 18 19 20 21 04 22 23 24 25 26 27 28 05 29 30 31 February Wk Mo Tu We Th Fr Sa Su 05 01 02 03 04 06 05 06 07 08 09 10 11 07 12 13 14 15 16 17 18 08 19 20 21 22 23 24 25 09 26 27 28 29 March Wk Mo Tu We Th Fr Sa Su 09 01 02 03 10 04 05 06 07 08 09 10 11 11 12 13 14 15 16 17 12 18 19 20 21 22 23 24 13 25 26 27 28 29 30 31 April Wk Mo Tu We Th Fr Sa Su 14 01 02 03 04 05 06 07 15 08 09 10 11 12 13 14 16 15 16 17 18 19 20 21 17 22 23 24 25 26 27 28 18 29 30 May Wk Mo Tu We Th Fr Sa Su 18 01 02 03 04 05 19 06 07 08 09 10 11 12 20 13 14 15 16 17 18 19 21 20 21 22 23 24 25 26 22 27 28 29 30 31 June Wk Mo Tu We Th Fr Sa Su 22 01 02 23 03 04 05 06 07 08 09 24 10 11 12 13 14 15 16 25 17 18 19 20 21 22 23 26 24 25 26 27 28 29 30 July Wk Mo Tu We Th Fr Sa Su 27 01 02 03 04 05 06 07 28 08 09 10 11 12 13 14 29 15 16 17 18 19 20 21 30 22 23 24 25 26 27 28 31 29 30 31 August Wk Mo Tu We Th Fr Sa Su 31 01 02 03 04 32 05 06 07 08 09 10 11 33 12 13 14 15 16 17 18 34 19 20 21 22 23 24 25 35 26 27 28 29 30 31 September Wk Mo Tu We Th Fr Sa Su 35 01 36 02 03 04 05 06 07 08 37 09 10 11 12 13 14 15 38 16 17 18 19 20 21 22 39 23 24 25 26 27 28 29 40 30 October Wk Mo Tu We Th Fr Sa Su 40 01 02 03 04 05 06 41 07 08 09 10 11 12 13 42 14 15 16 17 18 19 20 43 21 22 23 24 25 26 27 44 28 29 30 31 November Wk Mo Tu We Th Fr Sa Su 44 01 02 03 45 04 05 06 07 08 09 10 46 11 12 13 14 15 16 17 47 18 19 20 21 22 23 24 48 25 26 27 28 29 30 December Wk Mo Tu We Th Fr Sa Su 48 01 49 02 03 04 05 06 07 08 50 09 10 11 12 13 14 15 51 16 17 18 19 20 21 22 52 23 24 25 26 27 28 29 01 30 31 Applicable years editGregorian Calendar edit Leap years that begin on Monday along with those starting on Saturday and Thursday occur least frequently 13 out of 97 13 402 total leap years in a 400 year cycle of the Gregorian calendar Their overall occurrence is thus 3 25 13 out of 400 Gregorian leap years starting on Monday 1 Decade 1st 2nd 3rd 4th 5th 6th 7th 8th 9th 10th 16th century prior to first adoption proleptic 1596 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 27th century 2616 2644 2672 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 edit 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 2176Holidays editInternational edit Valentine s Day falls on a Wednesday The leap day February 29 falls on a Thursday World Day for Grandparents and the Elderly falls on its latest possible date July 28 Halloween falls on a Thursday Christmas Day falls on a Wednesday Roman Catholic Solemnities edit Epiphany falls on a Saturday or in places when it is transferred to a Sunday January 7 Candlemas falls on a Friday Saint Joseph s Day falls on a Tuesday The Annunciation of Jesus falls on a Monday The Nativity of John the Baptist falls on a Monday The Solemnity of Saints Peter and Paul falls on a Saturday The Transfiguration of Jesus falls on a Tuesday The Assumption of Mary falls on a Thursday The Exaltation of the Holy Cross falls on a Saturday All Saints Day falls on a Friday All Souls Day falls on a Saturday The Feast of Christ the King falls on November 24 or on October 27 in versions of the calendar between 1925 and 1962 The First Sunday of Advent falls on December 1 The Immaculate Conception falls on a Sunday thus transferred to Monday December 9 Gaudete Sunday falls on December 15 Rorate Sunday falls on December 22 Australia and New Zealand edit Australia Day falls on a Friday Waitangi Day falls on a Tuesday Daylight saving ends on its latest possible date April 7 the period of daylight saving which ends on April 7 of a leap year starting on Monday is the only period ending in any year to last 27 weeks in Australia and 28 weeks in New Zealand in all other instances the period of daylight saving lasts only 26 weeks in Australia and 27 weeks in New Zealand ANZAC Day falls on a Thursday Mother s Day falls on May 12 Father s Day falls on its earliest possible date September 1 Daylight saving begins on September 29 in New Zealand and October 6 in Australia British Isles edit Saint David s Day falls on a Friday Mother s Day falls on March 3 March 10 March 17 March 24 or March 31 Saint Patrick s Day falls on a Sunday Daylight saving begins on its latest possible date March 31 Saint George s Day falls on a Tuesday Father s Day falls on June 16 Orangeman s Day falls on a Friday Daylight saving ends on October 27 Guy Fawkes Night falls on a Tuesday Saint Andrew s Day falls on a Saturday Canada edit Daylight saving begins on March 10 Mother s Day falls on May 12 Victoria Day falls on May 20 Father s Day falls on June 16 Canada Day falls on a Monday Labour Day falls on September 2 Thanksgiving Day falls on its latest possible date October 14 Daylight saving ends on November 3 United States edit Martin Luther King Jr Day falls on its earliest possible date January 15 President s Day falls on February 19 Daylight saving begins on March 10 Mother s Day falls on May 12 Memorial Day falls on May 27 Father s Day falls on June 16 Juneteenth falls on a Wednesday Independence Day falls on a Thursday Labor Day falls on September 2 Grandparents Day falls on September 8 Columbus Day falls on its latest possible date October 14 this is the only year when Martin Luther King Jr Day and Columbus Day are 39 weeks apart They are 38 weeks apart in all other years Daylight saving ends on November 3 Election Day falls on November 5 Thanksgiving Day falls on its latest possible date November 28 this is also the only year when Martin Luther King Jr Day and Thanksgiving are 318 days apart They are 311 days apart in all other yearsReferences edit nbsp Wikimedia Commons has media related to Leap years starting on Monday and ending on Tuesday a b Robert van Gent 2017 The Mathematics of the ISO 8601 Calendar Utrecht University Department of Mathematics Retrieved 20 July 2017 Retrieved from https en wikipedia org w index php title Leap year starting on Monday amp oldid 1222524433, wikipedia, wiki, book, books, library,

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