Leap year starting on Monday

Last updated

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 [1] or, likewise, 2008 and 2036 in the obsolete Julian calendar.

Contents

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.

This year has three months (June, September and December) which begin on a weekend-day.

Calendars

Calendar for any leap year starting on Monday,
presented as common in many English-speaking areas
January
SuMoTuWeThFrSa
123456
78910111213
14151617181920
21222324252627
28293031 
 
February
SuMoTuWeThFrSa
123
45678910
11121314151617
18192021222324
2526272829
 
March
SuMoTuWeThFrSa
12
3456789
10111213141516
17181920212223
24252627282930
31 
April
SuMoTuWeThFrSa
123456
78910111213
14151617181920
21222324252627
282930 
 
May
SuMoTuWeThFrSa
1234
567891011
12131415161718
19202122232425
262728293031 
 
June
SuMoTuWeThFrSa
1
2345678
9101112131415
16171819202122
23242526272829
30 
July
SuMoTuWeThFrSa
123456
78910111213
14151617181920
21222324252627
28293031 
 
August
SuMoTuWeThFrSa
123
45678910
11121314151617
18192021222324
25262728293031
 
September
SuMoTuWeThFrSa
1234567
891011121314
15161718192021
22232425262728
2930 
 
October
SuMoTuWeThFrSa
12345
6789101112
13141516171819
20212223242526
2728293031 
 
November
SuMoTuWeThFrSa
12
3456789
10111213141516
17181920212223
24252627282930
 
December
SuMoTuWeThFrSa
1234567
891011121314
15161718192021
22232425262728
293031 
 
ISO 8601-conformant calendar with week numbers for
any leap year starting on Monday (dominical letter GF)
January
WkMoTuWeThFrSaSu
0101020304050607
0208091011121314
0315161718192021
0422232425262728
05293031 
  
February
WkMoTuWeThFrSaSu
0501020304
0605060708091011
0712131415161718
0819202122232425
0926272829 
  
March
WkMoTuWeThFrSaSu
09010203
1004050607080910
1111121314151617
1218192021222324
1325262728293031
  
April
WkMoTuWeThFrSaSu
1401020304050607
1508091011121314
1615161718192021
1722232425262728
182930 
  
May
WkMoTuWeThFrSaSu
180102030405
1906070809101112
2013141516171819
2120212223242526
222728293031 
  
June
WkMoTuWeThFrSaSu
220102
2303040506070809
2410111213141516
2517181920212223
2624252627282930
  
July
WkMoTuWeThFrSaSu
2701020304050607
2808091011121314
2915161718192021
3022232425262728
31293031 
  
August
WkMoTuWeThFrSaSu
3101020304
3205060708091011
3312131415161718
3419202122232425
35262728293031 
  
September
WkMoTuWeThFrSaSu
3501
3602030405060708
3709101112131415
3816171819202122
3923242526272829
4030 
October
WkMoTuWeThFrSaSu
40010203040506
4107080910111213
4214151617181920
4321222324252627
4428293031 
  
November
WkMoTuWeThFrSaSu
44010203
4504050607080910
4611121314151617
4718192021222324
48252627282930
  
December
WkMoTuWeThFrSaSu
4801
4902030405060708
5009101112131415
5116171819202122
5223242526272829
013031 

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.

Gregorian leap years starting on Monday [1]
Decade1st2nd3rd4th5th6th7th8th9th10th
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 252025482576
27th century 261626442672
400-year cycle
0–99245280
100–199120148176
200–299216244272
300–399312340368396

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
Decade1st2nd3rd4th5th6th7th8th9th10th
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 century192419521980
21st century2008203620642092
22nd century212021482176

Holidays

International

Roman Catholic Solemnities

Australia and New Zealand

British Isles

Canada

Denmark

Germany

United States

References

  1. 1 2 Robert van Gent (2017). "The Mathematics of the ISO 8601 Calendar". Utrecht University, Department of Mathematics. Retrieved 20 July 2017.