Common year

From Holidays
Revision as of 15:04, 4 June 2024 by GTrang (talk | contribs) (Linked Friday the 13th.)
Jump to navigation Jump to search

A common year is any year that has exactly 365 days, and so is not a leap year. For example, the years 2025, 2026, and 2027 are common years. Also, century years like 1800, 1900, 2100, 2200, and 2300 that are not divisible by 400 are common years in the Gregorian calendar. Those century years are also called exceptional common years.

Types of common years

There are 7 types of common years, one for each day of the week.

In the tables of occurrences in the 400-year cycle below, common years that are 96 years apart are aligned within the same column to maintain a consistent pattern.

Starting on Sunday

Landscape calendar for any common year with dominical letter A
January February March April
Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat
1 2 3 4 5 6 7 29 30 31 1 2 3 4 26 27 28 1 2 3 4 26 27 28 29 30 31 1
8 9 10 11 12 13 14 5 6 7 8 9 10 11 5 6 7 8 9 10 11 2 3 4 5 6 7 8
15 16 17 18 19 20 21 12 13 14 15 16 17 18 12 13 14 15 16 17 18 9 10 11 12 13 14 15
22 23 24 25 26 27 28 19 20 21 22 23 24 25 19 20 21 22 23 24 25 16 17 18 19 20 21 22
29 30 31 1 2 3 4 26 27 28 1 2 3 4 26 27 28 29 30 31 1 23 24 25 26 27 28 29
5 6 7 8 9 10 11 5 6 7 8 9 10 11 2 3 4 5 6 7 8 30 1 2 3 4 5 6
May June July August
Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat
30 1 2 3 4 5 6 28 29 30 31 1 2 3 25 26 27 28 29 30 1 30 31 1 2 3 4 5
7 8 9 10 11 12 13 4 5 6 7 8 9 10 2 3 4 5 6 7 8 6 7 8 9 10 11 12
14 15 16 17 18 19 20 11 12 13 14 15 16 17 9 10 11 12 13 14 15 13 14 15 16 17 18 19
21 22 23 24 25 26 27 18 19 20 21 22 23 24 16 17 18 19 20 21 22 20 21 22 23 24 25 26
28 29 30 31 1 2 3 25 26 27 28 29 30 1 23 24 25 26 27 28 29 27 28 29 30 31 1 2
4 5 6 7 8 9 10 2 3 4 5 6 7 8 30 31 1 2 3 4 5 3 4 5 6 7 8 9
September October November December
Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat
27 28 29 30 31 1 2 1 2 3 4 5 6 7 29 30 31 1 2 3 4 26 27 28 29 30 1 2
3 4 5 6 7 8 9 8 9 10 11 12 13 14 5 6 7 8 9 10 11 3 4 5 6 7 8 9
10 11 12 13 14 15 16 15 16 17 18 19 20 21 12 13 14 15 16 17 18 10 11 12 13 14 15 16
17 18 19 20 21 22 23 22 23 24 25 26 27 28 19 20 21 22 23 24 25 17 18 19 20 21 22 23
24 25 26 27 28 29 30 29 30 31 1 2 3 4 26 27 28 29 30 1 2 24 25 26 27 28 29 30
1 2 3 4 5 6 7 5 6 7 8 9 10 11 3 4 5 6 7 8 9 31 1 2 3 4 5 6

Portrait calendar for any common year with dominical letter A
January February March
Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat
1 2 3 4 5 6 7 29 30 31 1 2 3 4 26 27 28 1 2 3 4
8 9 10 11 12 13 14 5 6 7 8 9 10 11 5 6 7 8 9 10 11
15 16 17 18 19 20 21 12 13 14 15 16 17 18 12 13 14 15 16 17 18
22 23 24 25 26 27 28 19 20 21 22 23 24 25 19 20 21 22 23 24 25
29 30 31 1 2 3 4 26 27 28 1 2 3 4 26 27 28 29 30 31 1
5 6 7 8 9 10 11 5 6 7 8 9 10 11 2 3 4 5 6 7 8
April May June
Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat
26 27 28 29 30 31 1 30 1 2 3 4 5 6 28 29 30 31 1 2 3
2 3 4 5 6 7 8 7 8 9 10 11 12 13 4 5 6 7 8 9 10
9 10 11 12 13 14 15 14 15 16 17 18 19 20 11 12 13 14 15 16 17
16 17 18 19 20 21 22 21 22 23 24 25 26 27 18 19 20 21 22 23 24
23 24 25 26 27 28 29 28 29 30 31 1 2 3 25 26 27 28 29 30 1
30 1 2 3 4 5 6 4 5 6 7 8 9 10 2 3 4 5 6 7 8
July August September
Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat
25 26 27 28 29 30 1 30 31 1 2 3 4 5 27 28 29 30 31 1 2
2 3 4 5 6 7 8 6 7 8 9 10 11 12 3 4 5 6 7 8 9
9 10 11 12 13 14 15 13 14 15 16 17 18 19 10 11 12 13 14 15 16
16 17 18 19 20 21 22 20 21 22 23 24 25 26 17 18 19 20 21 22 23
23 24 25 26 27 28 29 27 28 29 30 31 1 2 24 25 26 27 28 29 30
30 31 1 2 3 4 5 3 4 5 6 7 8 9 1 2 3 4 5 6 7
October November December
Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat
1 2 3 4 5 6 7 29 30 31 1 2 3 4 26 27 28 29 30 1 2
8 9 10 11 12 13 14 5 6 7 8 9 10 11 3 4 5 6 7 8 9
15 16 17 18 19 20 21 12 13 14 15 16 17 18 10 11 12 13 14 15 16
22 23 24 25 26 27 28 19 20 21 22 23 24 25 17 18 19 20 21 22 23
29 30 31 1 2 3 4 26 27 28 29 30 1 2 24 25 26 27 28 29 30
5 6 7 8 9 10 11 3 4 5 6 7 8 9 31 1 2 3 4 5 6

For such a year, the dominical letter is A and Friday the 13ths occur on January 13 and October 13. Such years occur 43 times in the 400-year cycle of the Gregorian calendar and 3 times in the 28-year cycle of the Julian calendar.

Occurrences in the Gregorian cycle (mod 400)
Century Year mod 4 = 1 Year mod 4 = 2 Year mod 4 = 3
0–99 17 45 73 6 34 62 90 23 51 79
100–199 113 141 169 197 102 130 158 186 119 147 175
200–299 209 237 265 293 226 254 282 215 243 271 299
300–399 305 333 361 389 322 350 378 311 339 367 395

In the Julian calendar, such years occur when the year reduces to 2, 13, or 19 mod 28.

In the past, the last such year was the year 2023 (last year), while in the future, the next such year will be the year 2034 (10 years from now).

Starting on Monday

Landscape calendar for any common year with dominical letter G
January February March April
Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat
31 1 2 3 4 5 6 28 29 30 31 1 2 3 25 26 27 28 1 2 3 1 2 3 4 5 6 7
7 8 9 10 11 12 13 4 5 6 7 8 9 10 4 5 6 7 8 9 10 8 9 10 11 12 13 14
14 15 16 17 18 19 20 11 12 13 14 15 16 17 11 12 13 14 15 16 17 15 16 17 18 19 20 21
21 22 23 24 25 26 27 18 19 20 21 22 23 24 18 19 20 21 22 23 24 22 23 24 25 26 27 28
28 29 30 31 1 2 3 25 26 27 28 1 2 3 25 26 27 28 29 30 31 29 30 1 2 3 4 5
4 5 6 7 8 9 10 4 5 6 7 8 9 10 1 2 3 4 5 6 7 6 7 8 9 10 11 12
May June July August
Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat
29 30 1 2 3 4 5 27 28 29 30 31 1 2 1 2 3 4 5 6 7 29 30 31 1 2 3 4
6 7 8 9 10 11 12 3 4 5 6 7 8 9 8 9 10 11 12 13 14 5 6 7 8 9 10 11
13 14 15 16 17 18 19 10 11 12 13 14 15 16 15 16 17 18 19 20 21 12 13 14 15 16 17 18
20 21 22 23 24 25 26 17 18 19 20 21 22 23 22 23 24 25 26 27 28 19 20 21 22 23 24 25
27 28 29 30 31 1 2 24 25 26 27 28 29 30 29 30 31 1 2 3 4 26 27 28 29 30 31 1
3 4 5 6 7 8 9 1 2 3 4 5 6 7 5 6 7 8 9 10 11 2 3 4 5 6 7 8
September October November December
Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat
26 27 28 29 30 31 1 30 1 2 3 4 5 6 28 29 30 31 1 2 3 25 26 27 28 29 30 1
2 3 4 5 6 7 8 7 8 9 10 11 12 13 4 5 6 7 8 9 10 2 3 4 5 6 7 8
9 10 11 12 13 14 15 14 15 16 17 18 19 20 11 12 13 14 15 16 17 9 10 11 12 13 14 15
16 17 18 19 20 21 22 21 22 23 24 25 26 27 18 19 20 21 22 23 24 16 17 18 19 20 21 22
23 24 25 26 27 28 29 28 29 30 31 1 2 3 25 26 27 28 29 30 1 23 24 25 26 27 28 29
30 1 2 3 4 5 6 4 5 6 7 8 9 10 2 3 4 5 6 7 8 30 31 1 2 3 4 5

Portrait calendar for any common year with dominical letter G
January February March
Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat
31 1 2 3 4 5 6 28 29 30 31 1 2 3 25 26 27 28 1 2 3
7 8 9 10 11 12 13 4 5 6 7 8 9 10 4 5 6 7 8 9 10
14 15 16 17 18 19 20 11 12 13 14 15 16 17 11 12 13 14 15 16 17
21 22 23 24 25 26 27 18 19 20 21 22 23 24 18 19 20 21 22 23 24
28 29 30 31 1 2 3 25 26 27 28 1 2 3 25 26 27 28 29 30 31
4 5 6 7 8 9 10 4 5 6 7 8 9 10 1 2 3 4 5 6 7
April May June
Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat
1 2 3 4 5 6 7 29 30 1 2 3 4 5 27 28 29 30 31 1 2
8 9 10 11 12 13 14 6 7 8 9 10 11 12 3 4 5 6 7 8 9
15 16 17 18 19 20 21 13 14 15 16 17 18 19 10 11 12 13 14 15 16
22 23 24 25 26 27 28 20 21 22 23 24 25 26 17 18 19 20 21 22 23
29 30 1 2 3 4 5 27 28 29 30 31 1 2 24 25 26 27 28 29 30
6 7 8 9 10 11 12 3 4 5 6 7 8 9 1 2 3 4 5 6 7
July August September
Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat
1 2 3 4 5 6 7 29 30 31 1 2 3 4 26 27 28 29 30 31 1
8 9 10 11 12 13 14 5 6 7 8 9 10 11 2 3 4 5 6 7 8
15 16 17 18 19 20 21 12 13 14 15 16 17 18 9 10 11 12 13 14 15
22 23 24 25 26 27 28 19 20 21 22 23 24 25 16 17 18 19 20 21 22
29 30 31 1 2 3 4 26 27 28 29 30 31 1 23 24 25 26 27 28 29
5 6 7 8 9 10 11 2 3 4 5 6 7 8 30 1 2 3 4 5 6
October November December
Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat
30 1 2 3 4 5 6 28 29 30 31 1 2 3 25 26 27 28 29 30 1
7 8 9 10 11 12 13 4 5 6 7 8 9 10 2 3 4 5 6 7 8
14 15 16 17 18 19 20 11 12 13 14 15 16 17 9 10 11 12 13 14 15
21 22 23 24 25 26 27 18 19 20 21 22 23 24 16 17 18 19 20 21 22
28 29 30 31 1 2 3 25 26 27 28 29 30 1 23 24 25 26 27 28 29
4 5 6 7 8 9 10 2 3 4 5 6 7 8 30 31 1 2 3 4 5

For such a year, the dominical letter is G and Friday the 13ths occur on April 13 and July 13. Such years occur 43 times in the 400-year cycle of the Gregorian calendar and 3 times in the 28-year cycle of the Julian calendar.

Occurrences in the Gregorian cycle (mod 400)
Century Year mod 400 = 300 (exceptional) Year mod 4 = 1 Year mod 4 = 2 Year mod 4 = 3
0–99 1 29 57 85 18 46 74 7 35 63 91
100–199 125 153 181 114 142 170 198 103 131 159 187
200–299 221 249 277 210 238 266 294 227 255 283
300–399 300 317 345 373 306 334 362 390 323 351 379

In the Julian calendar, such years occur when the year reduces to 3, 14, or 25 mod 28.

In the past, the last such year was the year 2018 (6 years ago), while in the future, the next such year will be the year 2029 (5 years from now).

Starting on Tuesday

Landscape calendar for any common year with dominical letter F
January February March April
Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat
30 31 1 2 3 4 5 27 28 29 30 31 1 2 24 25 26 27 28 1 2 31 1 2 3 4 5 6
6 7 8 9 10 11 12 3 4 5 6 7 8 9 3 4 5 6 7 8 9 7 8 9 10 11 12 13
13 14 15 16 17 18 19 10 11 12 13 14 15 16 10 11 12 13 14 15 16 14 15 16 17 18 19 20
20 21 22 23 24 25 26 17 18 19 20 21 22 23 17 18 19 20 21 22 23 21 22 23 24 25 26 27
27 28 29 30 31 1 2 24 25 26 27 28 1 2 24 25 26 27 28 29 30 28 29 30 1 2 3 4
3 4 5 6 7 8 9 3 4 5 6 7 8 9 31 1 2 3 4 5 6 5 6 7 8 9 10 11
May June July August
Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat
28 29 30 1 2 3 4 26 27 28 29 30 31 1 30 1 2 3 4 5 6 28 29 30 31 1 2 3
5 6 7 8 9 10 11 2 3 4 5 6 7 8 7 8 9 10 11 12 13 4 5 6 7 8 9 10
12 13 14 15 16 17 18 9 10 11 12 13 14 15 14 15 16 17 18 19 20 11 12 13 14 15 16 17
19 20 21 22 23 24 25 16 17 18 19 20 21 22 21 22 23 24 25 26 27 18 19 20 21 22 23 24
26 27 28 29 30 31 1 23 24 25 26 27 28 29 28 29 30 31 1 2 3 25 26 27 28 29 30 31
2 3 4 5 6 7 8 30 1 2 3 4 5 6 4 5 6 7 8 9 10 1 2 3 4 5 6 7
September October November December
Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat
1 2 3 4 5 6 7 29 30 1 2 3 4 5 27 28 29 30 31 1 2 1 2 3 4 5 6 7
8 9 10 11 12 13 14 6 7 8 9 10 11 12 3 4 5 6 7 8 9 8 9 10 11 12 13 14
15 16 17 18 19 20 21 13 14 15 16 17 18 19 10 11 12 13 14 15 16 15 16 17 18 19 20 21
22 23 24 25 26 27 28 20 21 22 23 24 25 26 17 18 19 20 21 22 23 22 23 24 25 26 27 28
29 30 1 2 3 4 5 27 28 29 30 31 1 2 24 25 26 27 28 29 30 29 30 31 1 2 3 4
6 7 8 9 10 11 12 3 4 5 6 7 8 9 1 2 3 4 5 6 7 5 6 7 8 9 10 11

Portrait calendar for any common year with dominical letter F
January February March
Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat
30 31 1 2 3 4 5 27 28 29 30 31 1 2 24 25 26 27 28 1 2
6 7 8 9 10 11 12 3 4 5 6 7 8 9 3 4 5 6 7 8 9
13 14 15 16 17 18 19 10 11 12 13 14 15 16 10 11 12 13 14 15 16
20 21 22 23 24 25 26 17 18 19 20 21 22 23 17 18 19 20 21 22 23
27 28 29 30 31 1 2 24 25 26 27 28 1 2 24 25 26 27 28 29 30
3 4 5 6 7 8 9 3 4 5 6 7 8 9 31 1 2 3 4 5 6
April May June
Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat
31 1 2 3 4 5 6 28 29 30 1 2 3 4 26 27 28 29 30 31 1
7 8 9 10 11 12 13 5 6 7 8 9 10 11 2 3 4 5 6 7 8
14 15 16 17 18 19 20 12 13 14 15 16 17 18 9 10 11 12 13 14 15
21 22 23 24 25 26 27 19 20 21 22 23 24 25 16 17 18 19 20 21 22
28 29 30 1 2 3 4 26 27 28 29 30 31 1 23 24 25 26 27 28 29
5 6 7 8 9 10 11 2 3 4 5 6 7 8 30 1 2 3 4 5 6
July August September
Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat
30 1 2 3 4 5 6 28 29 30 31 1 2 3 1 2 3 4 5 6 7
7 8 9 10 11 12 13 4 5 6 7 8 9 10 8 9 10 11 12 13 14
14 15 16 17 18 19 20 11 12 13 14 15 16 17 15 16 17 18 19 20 21
21 22 23 24 25 26 27 18 19 20 21 22 23 24 22 23 24 25 26 27 28
28 29 30 31 1 2 3 25 26 27 28 29 30 31 29 30 1 2 3 4 5
4 5 6 7 8 9 10 1 2 3 4 5 6 7 6 7 8 9 10 11 12
October November December
Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat
29 30 1 2 3 4 5 27 28 29 30 31 1 2 1 2 3 4 5 6 7
6 7 8 9 10 11 12 3 4 5 6 7 8 9 8 9 10 11 12 13 14
13 14 15 16 17 18 19 10 11 12 13 14 15 16 15 16 17 18 19 20 21
20 21 22 23 24 25 26 17 18 19 20 21 22 23 22 23 24 25 26 27 28
27 28 29 30 31 1 2 24 25 26 27 28 29 30 29 30 31 1 2 3 4
3 4 5 6 7 8 9 1 2 3 4 5 6 7 5 6 7 8 9 10 11

For such a year, the dominical letter is F and Friday the 13ths occur on September 13 and December 13. Such years occur 44 times in the 400-year cycle of the Gregorian calendar and 3 times in the 28-year cycle of the Julian calendar.

Occurrences in the Gregorian cycle (mod 400)
Century Year mod 4 = 1 Year mod 4 = 2 Year mod 4 = 3
0–99 13 41 69 97 2 30 58 86 19 47 75
100–199 109 137 165 193 126 154 182 115 143 171 199
200–299 205 233 261 289 222 250 278 211 239 267 295
300–399 301 329 357 385 318 346 374 307 335 363 391

In the Julian calendar, such years occur when the year reduces to 9, 15, or 26 mod 28.

In the past, the last such year was the year 2019 (5 years ago), while in the future, the next such year will be the year 2030 (6 years from now).

Starting on Wednesday

Landscape calendar for any common year with dominical letter E
January February March April
Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat
29 30 31 1 2 3 4 26 27 28 29 30 31 1 23 24 25 26 27 28 1 30 31 1 2 3 4 5
5 6 7 8 9 10 11 2 3 4 5 6 7 8 2 3 4 5 6 7 8 6 7 8 9 10 11 12
12 13 14 15 16 17 18 9 10 11 12 13 14 15 9 10 11 12 13 14 15 13 14 15 16 17 18 19
19 20 21 22 23 24 25 16 17 18 19 20 21 22 16 17 18 19 20 21 22 20 21 22 23 24 25 26
26 27 28 29 30 31 1 23 24 25 26 27 28 1 23 24 25 26 27 28 29 27 28 29 30 1 2 3
2 3 4 5 6 7 8 2 3 4 5 6 7 8 30 31 1 2 3 4 5 4 5 6 7 8 9 10
May June July August
Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat
27 28 29 30 1 2 3 1 2 3 4 5 6 7 29 30 1 2 3 4 5 27 28 29 30 31 1 2
4 5 6 7 8 9 10 8 9 10 11 12 13 14 6 7 8 9 10 11 12 3 4 5 6 7 8 9
11 12 13 14 15 16 17 15 16 17 18 19 20 21 13 14 15 16 17 18 19 10 11 12 13 14 15 16
18 19 20 21 22 23 24 22 23 24 25 26 27 28 20 21 22 23 24 25 26 17 18 19 20 21 22 23
25 26 27 28 29 30 31 29 30 1 2 3 4 5 27 28 29 30 31 1 2 24 25 26 27 28 29 30
1 2 3 4 5 6 7 6 7 8 9 10 11 12 3 4 5 6 7 8 9 31 1 2 3 4 5 6
September October November December
Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat
31 1 2 3 4 5 6 28 29 30 1 2 3 4 26 27 28 29 30 31 1 30 1 2 3 4 5 6
7 8 9 10 11 12 13 5 6 7 8 9 10 11 2 3 4 5 6 7 8 7 8 9 10 11 12 13
14 15 16 17 18 19 20 12 13 14 15 16 17 18 9 10 11 12 13 14 15 14 15 16 17 18 19 20
21 22 23 24 25 26 27 19 20 21 22 23 24 25 16 17 18 19 20 21 22 21 22 23 24 25 26 27
28 29 30 1 2 3 4 26 27 28 29 30 31 1 23 24 25 26 27 28 29 28 29 30 31 1 2 3
5 6 7 8 9 10 11 2 3 4 5 6 7 8 30 1 2 3 4 5 6 4 5 6 7 8 9 10

Portrait calendar for any common year with dominical letter E
January February March
Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat
29 30 31 1 2 3 4 26 27 28 29 30 31 1 23 24 25 26 27 28 1
5 6 7 8 9 10 11 2 3 4 5 6 7 8 2 3 4 5 6 7 8
12 13 14 15 16 17 18 9 10 11 12 13 14 15 9 10 11 12 13 14 15
19 20 21 22 23 24 25 16 17 18 19 20 21 22 16 17 18 19 20 21 22
26 27 28 29 30 31 1 23 24 25 26 27 28 1 23 24 25 26 27 28 29
2 3 4 5 6 7 8 2 3 4 5 6 7 8 30 31 1 2 3 4 5
April May June
Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat
30 31 1 2 3 4 5 27 28 29 30 1 2 3 1 2 3 4 5 6 7
6 7 8 9 10 11 12 4 5 6 7 8 9 10 8 9 10 11 12 13 14
13 14 15 16 17 18 19 11 12 13 14 15 16 17 15 16 17 18 19 20 21
20 21 22 23 24 25 26 18 19 20 21 22 23 24 22 23 24 25 26 27 28
27 28 29 30 1 2 3 25 26 27 28 29 30 31 29 30 1 2 3 4 5
4 5 6 7 8 9 10 1 2 3 4 5 6 7 6 7 8 9 10 11 12
July August September
Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat
29 30 1 2 3 4 5 27 28 29 30 31 1 2 31 1 2 3 4 5 6
6 7 8 9 10 11 12 3 4 5 6 7 8 9 7 8 9 10 11 12 13
13 14 15 16 17 18 19 10 11 12 13 14 15 16 14 15 16 17 18 19 20
20 21 22 23 24 25 26 17 18 19 20 21 22 23 21 22 23 24 25 26 27
27 28 29 30 31 1 2 24 25 26 27 28 29 30 28 29 30 1 2 3 4
3 4 5 6 7 8 9 31 1 2 3 4 5 6 5 6 7 8 9 10 11
October November December
Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat
28 29 30 1 2 3 4 26 27 28 29 30 31 1 30 1 2 3 4 5 6
5 6 7 8 9 10 11 2 3 4 5 6 7 8 7 8 9 10 11 12 13
12 13 14 15 16 17 18 9 10 11 12 13 14 15 14 15 16 17 18 19 20
19 20 21 22 23 24 25 16 17 18 19 20 21 22 21 22 23 24 25 26 27
26 27 28 29 30 31 1 23 24 25 26 27 28 29 28 29 30 31 1 2 3
2 3 4 5 6 7 8 30 1 2 3 4 5 6 4 5 6 7 8 9 10

For such a year, the dominical letter is E and a Friday the 13th occurs on June 13. Such years occur 43 times in the 400-year cycle of the Gregorian calendar and 3 times in the 28-year cycle of the Julian calendar.

Occurrences in the Gregorian cycle (mod 400)
Century Year mod 400 = 200 (exceptional) Year mod 4 = 1 Year mod 4 = 2 Year mod 4 = 3
0–99 25 53 81 14 42 70 98 3 31 59 87
100–199 121 149 177 110 138 166 194 127 155 183
200–299 200 217 245 273 206 234 262 290 223 251 279
300–399 313 341 369 397 302 330 358 386 319 347 375

In the Julian calendar, such years occur when the year reduces to 10, 21, or 27 mod 28.

In the past, the last such year was the year 2014 (10 years ago), while in the future, the next such year will be the year 2025 (next year).

Starting on Thursday

Landscape calendar for any common year with dominical letter D
January February March April
Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat
28 29 30 31 1 2 3 1 2 3 4 5 6 7 1 2 3 4 5 6 7 29 30 31 1 2 3 4
4 5 6 7 8 9 10 8 9 10 11 12 13 14 8 9 10 11 12 13 14 5 6 7 8 9 10 11
11 12 13 14 15 16 17 15 16 17 18 19 20 21 15 16 17 18 19 20 21 12 13 14 15 16 17 18
18 19 20 21 22 23 24 22 23 24 25 26 27 28 22 23 24 25 26 27 28 19 20 21 22 23 24 25
25 26 27 28 29 30 31 1 2 3 4 5 6 7 29 30 31 1 2 3 4 26 27 28 29 30 1 2
1 2 3 4 5 6 7 8 9 10 11 12 13 14 5 6 7 8 9 10 11 3 4 5 6 7 8 9
May June July August
Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat
26 27 28 29 30 1 2 31 1 2 3 4 5 6 28 29 30 1 2 3 4 26 27 28 29 30 31 1
3 4 5 6 7 8 9 7 8 9 10 11 12 13 5 6 7 8 9 10 11 2 3 4 5 6 7 8
10 11 12 13 14 15 16 14 15 16 17 18 19 20 12 13 14 15 16 17 18 9 10 11 12 13 14 15
17 18 19 20 21 22 23 21 22 23 24 25 26 27 19 20 21 22 23 24 25 16 17 18 19 20 21 22
24 25 26 27 28 29 30 28 29 30 1 2 3 4 26 27 28 29 30 31 1 23 24 25 26 27 28 29
31 1 2 3 4 5 6 5 6 7 8 9 10 11 2 3 4 5 6 7 8 30 31 1 2 3 4 5
September October November December
Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat
30 31 1 2 3 4 5 27 28 29 30 1 2 3 1 2 3 4 5 6 7 29 30 1 2 3 4 5
6 7 8 9 10 11 12 4 5 6 7 8 9 10 8 9 10 11 12 13 14 6 7 8 9 10 11 12
13 14 15 16 17 18 19 11 12 13 14 15 16 17 15 16 17 18 19 20 21 13 14 15 16 17 18 19
20 21 22 23 24 25 26 18 19 20 21 22 23 24 22 23 24 25 26 27 28 20 21 22 23 24 25 26
27 28 29 30 1 2 3 25 26 27 28 29 30 31 29 30 1 2 3 4 5 27 28 29 30 31 1 2
4 5 6 7 8 9 10 1 2 3 4 5 6 7 6 7 8 9 10 11 12 3 4 5 6 7 8 9

Portrait calendar for any common year with dominical letter D
January February March
Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat
28 29 30 31 1 2 3 1 2 3 4 5 6 7 1 2 3 4 5 6 7
4 5 6 7 8 9 10 8 9 10 11 12 13 14 8 9 10 11 12 13 14
11 12 13 14 15 16 17 15 16 17 18 19 20 21 15 16 17 18 19 20 21
18 19 20 21 22 23 24 22 23 24 25 26 27 28 22 23 24 25 26 27 28
25 26 27 28 29 30 31 1 2 3 4 5 6 7 29 30 31 1 2 3 4
1 2 3 4 5 6 7 8 9 10 11 12 13 14 5 6 7 8 9 10 11
April May June
Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat
29 30 31 1 2 3 4 26 27 28 29 30 1 2 31 1 2 3 4 5 6
5 6 7 8 9 10 11 3 4 5 6 7 8 9 7 8 9 10 11 12 13
12 13 14 15 16 17 18 10 11 12 13 14 15 16 14 15 16 17 18 19 20
19 20 21 22 23 24 25 17 18 19 20 21 22 23 21 22 23 24 25 26 27
26 27 28 29 30 1 2 24 25 26 27 28 29 30 28 29 30 1 2 3 4
3 4 5 6 7 8 9 31 1 2 3 4 5 6 5 6 7 8 9 10 11
July August September
Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat
28 29 30 1 2 3 4 26 27 28 29 30 31 1 30 31 1 2 3 4 5
5 6 7 8 9 10 11 2 3 4 5 6 7 8 6 7 8 9 10 11 12
12 13 14 15 16 17 18 9 10 11 12 13 14 15 13 14 15 16 17 18 19
19 20 21 22 23 24 25 16 17 18 19 20 21 22 20 21 22 23 24 25 26
26 27 28 29 30 31 1 23 24 25 26 27 28 29 27 28 29 30 1 2 3
2 3 4 5 6 7 8 30 31 1 2 3 4 5 4 5 6 7 8 9 10
October November December
Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat
27 28 29 30 1 2 3 1 2 3 4 5 6 7 29 30 1 2 3 4 5
4 5 6 7 8 9 10 8 9 10 11 12 13 14 6 7 8 9 10 11 12
11 12 13 14 15 16 17 15 16 17 18 19 20 21 13 14 15 16 17 18 19
18 19 20 21 22 23 24 22 23 24 25 26 27 28 20 21 22 23 24 25 26
25 26 27 28 29 30 31 29 30 1 2 3 4 5 27 28 29 30 31 1 2
1 2 3 4 5 6 7 6 7 8 9 10 11 12 3 4 5 6 7 8 9

For such a year, the dominical letter is D and Friday the 13ths occur on February 13, March 13, and November 13. Such years occur 44 times in the 400-year cycle of the Gregorian calendar and 3 times in the 28-year cycle of the Julian calendar.

Occurrences in the Gregorian cycle (mod 400)
Century Year mod 4 = 1 Year mod 4 = 2 Year mod 4 = 3
0–99 9 37 65 93 26 54 82 15 43 71 99
100–199 105 133 161 189 122 150 178 111 139 167 195
200–299 201 229 257 285 218 246 274 207 235 263 291
300–399 325 353 381 314 342 370 398 303 331 359 387

In the Julian calendar, such years occur when the year reduces to 5, 11, or 22 mod 28.

In the past, the last such year was the year 2015 (9 years ago), while in the future, the next such year will be the year 2026 (2 years from now).

Starting on Friday

Landscape calendar for any common year with dominical letter C
January February March April
Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat
27 28 29 30 31 1 2 31 1 2 3 4 5 6 28 1 2 3 4 5 6 28 29 30 31 1 2 3
3 4 5 6 7 8 9 7 8 9 10 11 12 13 7 8 9 10 11 12 13 4 5 6 7 8 9 10
10 11 12 13 14 15 16 14 15 16 17 18 19 20 14 15 16 17 18 19 20 11 12 13 14 15 16 17
17 18 19 20 21 22 23 21 22 23 24 25 26 27 21 22 23 24 25 26 27 18 19 20 21 22 23 24
24 25 26 27 28 29 30 28 1 2 3 4 5 6 28 29 30 31 1 2 3 25 26 27 28 29 30 1
31 1 2 3 4 5 6 7 8 9 10 11 12 13 4 5 6 7 8 9 10 2 3 4 5 6 7 8
May June July August
Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat
25 26 27 28 29 30 1 30 31 1 2 3 4 5 27 28 29 30 1 2 3 1 2 3 4 5 6 7
2 3 4 5 6 7 8 6 7 8 9 10 11 12 4 5 6 7 8 9 10 8 9 10 11 12 13 14
9 10 11 12 13 14 15 13 14 15 16 17 18 19 11 12 13 14 15 16 17 15 16 17 18 19 20 21
16 17 18 19 20 21 22 20 21 22 23 24 25 26 18 19 20 21 22 23 24 22 23 24 25 26 27 28
23 24 25 26 27 28 29 27 28 29 30 1 2 3 25 26 27 28 29 30 31 29 30 31 1 2 3 4
30 31 1 2 3 4 5 4 5 6 7 8 9 10 1 2 3 4 5 6 7 5 6 7 8 9 10 11
September October November December
Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat
29 30 31 1 2 3 4 26 27 28 29 30 1 2 31 1 2 3 4 5 6 28 29 30 1 2 3 4
5 6 7 8 9 10 11 3 4 5 6 7 8 9 7 8 9 10 11 12 13 5 6 7 8 9 10 11
12 13 14 15 16 17 18 10 11 12 13 14 15 16 14 15 16 17 18 19 20 12 13 14 15 16 17 18
19 20 21 22 23 24 25 17 18 19 20 21 22 23 21 22 23 24 25 26 27 19 20 21 22 23 24 25
26 27 28 29 30 1 2 24 25 26 27 28 29 30 28 29 30 1 2 3 4 26 27 28 29 30 31 1
3 4 5 6 7 8 9 31 1 2 3 4 5 6 5 6 7 8 9 10 11 2 3 4 5 6 7 8

Portrait calendar for any common year with dominical letter C
January February March
Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat
27 28 29 30 31 1 2 31 1 2 3 4 5 6 28 1 2 3 4 5 6
3 4 5 6 7 8 9 7 8 9 10 11 12 13 7 8 9 10 11 12 13
10 11 12 13 14 15 16 14 15 16 17 18 19 20 14 15 16 17 18 19 20
17 18 19 20 21 22 23 21 22 23 24 25 26 27 21 22 23 24 25 26 27
24 25 26 27 28 29 30 28 1 2 3 4 5 6 28 29 30 31 1 2 3
31 1 2 3 4 5 6 7 8 9 10 11 12 13 4 5 6 7 8 9 10
April May June
Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat
28 29 30 31 1 2 3 25 26 27 28 29 30 1 30 31 1 2 3 4 5
4 5 6 7 8 9 10 2 3 4 5 6 7 8 6 7 8 9 10 11 12
11 12 13 14 15 16 17 9 10 11 12 13 14 15 13 14 15 16 17 18 19
18 19 20 21 22 23 24 16 17 18 19 20 21 22 20 21 22 23 24 25 26
25 26 27 28 29 30 1 23 24 25 26 27 28 29 27 28 29 30 1 2 3
2 3 4 5 6 7 8 30 31 1 2 3 4 5 4 5 6 7 8 9 10
July August September
Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat
27 28 29 30 1 2 3 1 2 3 4 5 6 7 29 30 31 1 2 3 4
4 5 6 7 8 9 10 8 9 10 11 12 13 14 5 6 7 8 9 10 11
11 12 13 14 15 16 17 15 16 17 18 19 20 21 12 13 14 15 16 17 18
18 19 20 21 22 23 24 22 23 24 25 26 27 28 19 20 21 22 23 24 25
25 26 27 28 29 30 31 29 30 31 1 2 3 4 26 27 28 29 30 1 2
1 2 3 4 5 6 7 5 6 7 8 9 10 11 3 4 5 6 7 8 9
October November December
Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat
26 27 28 29 30 1 2 31 1 2 3 4 5 6 28 29 30 1 2 3 4
3 4 5 6 7 8 9 7 8 9 10 11 12 13 5 6 7 8 9 10 11
10 11 12 13 14 15 16 14 15 16 17 18 19 20 12 13 14 15 16 17 18
17 18 19 20 21 22 23 21 22 23 24 25 26 27 19 20 21 22 23 24 25
24 25 26 27 28 29 30 28 29 30 1 2 3 4 26 27 28 29 30 31 1
31 1 2 3 4 5 6 5 6 7 8 9 10 11 2 3 4 5 6 7 8

For such a year, the dominical letter is C and a Friday the 13th occurs on August 13. Such years occur 43 times in the 400-year cycle of the Gregorian calendar and 3 times in the 28-year cycle of the Julian calendar.

Occurrences in the Gregorian cycle (mod 400)
Century Year mod 400 = 100 (exceptional) Year mod 4 = 1 Year mod 4 = 2 Year mod 4 = 3
0–99 21 49 77 10 38 66 94 27 55 83
100–199 100 117 145 173 106 134 162 190 123 151 179
200–299 213 241 269 297 202 230 258 286 219 247 275
300–399 309 337 365 393 326 354 382 315 343 371 399

In the Julian calendar, such years occur when the year reduces to 6, 17, or 23 mod 28.

In the past, the last such year was the year 2021 (3 years ago), while in the future, the next such year will be the year 2027 (3 years from now).

Starting on Saturday

Landscape calendar for any common year with dominical letter B
January February March April
Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat
26 27 28 29 30 31 1 30 31 1 2 3 4 5 27 28 1 2 3 4 5 27 28 29 30 31 1 2
2 3 4 5 6 7 8 6 7 8 9 10 11 12 6 7 8 9 10 11 12 3 4 5 6 7 8 9
9 10 11 12 13 14 15 13 14 15 16 17 18 19 13 14 15 16 17 18 19 10 11 12 13 14 15 16
16 17 18 19 20 21 22 20 21 22 23 24 25 26 20 21 22 23 24 25 26 17 18 19 20 21 22 23
23 24 25 26 27 28 29 27 28 1 2 3 4 5 27 28 29 30 31 1 2 24 25 26 27 28 29 30
30 31 1 2 3 4 5 6 7 8 9 10 11 12 3 4 5 6 7 8 9 1 2 3 4 5 6 7
May June July August
Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat
1 2 3 4 5 6 7 29 30 31 1 2 3 4 26 27 28 29 30 1 2 31 1 2 3 4 5 6
8 9 10 11 12 13 14 5 6 7 8 9 10 11 3 4 5 6 7 8 9 7 8 9 10 11 12 13
15 16 17 18 19 20 21 12 13 14 15 16 17 18 10 11 12 13 14 15 16 14 15 16 17 18 19 20
22 23 24 25 26 27 28 19 20 21 22 23 24 25 17 18 19 20 21 22 23 21 22 23 24 25 26 27
29 30 31 1 2 3 4 26 27 28 29 30 1 2 24 25 26 27 28 29 30 28 29 30 31 1 2 3
5 6 7 8 9 10 11 3 4 5 6 7 8 9 31 1 2 3 4 5 6 4 5 6 7 8 9 10
September October November December
Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat
28 29 30 31 1 2 3 25 26 27 28 29 30 1 30 31 1 2 3 4 5 27 28 29 30 1 2 3
4 5 6 7 8 9 10 2 3 4 5 6 7 8 6 7 8 9 10 11 12 4 5 6 7 8 9 10
11 12 13 14 15 16 17 9 10 11 12 13 14 15 13 14 15 16 17 18 19 11 12 13 14 15 16 17
18 19 20 21 22 23 24 16 17 18 19 20 21 22 20 21 22 23 24 25 26 18 19 20 21 22 23 24
25 26 27 28 29 30 1 23 24 25 26 27 28 29 27 28 29 30 1 2 3 25 26 27 28 29 30 31
2 3 4 5 6 7 8 30 31 1 2 3 4 5 4 5 6 7 8 9 10 1 2 3 4 5 6 7

Portrait calendar for any common year with dominical letter B
January February March
Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat
26 27 28 29 30 31 1 30 31 1 2 3 4 5 27 28 1 2 3 4 5
2 3 4 5 6 7 8 6 7 8 9 10 11 12 6 7 8 9 10 11 12
9 10 11 12 13 14 15 13 14 15 16 17 18 19 13 14 15 16 17 18 19
16 17 18 19 20 21 22 20 21 22 23 24 25 26 20 21 22 23 24 25 26
23 24 25 26 27 28 29 27 28 1 2 3 4 5 27 28 29 30 31 1 2
30 31 1 2 3 4 5 6 7 8 9 10 11 12 3 4 5 6 7 8 9
April May June
Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat
27 28 29 30 31 1 2 1 2 3 4 5 6 7 29 30 31 1 2 3 4
3 4 5 6 7 8 9 8 9 10 11 12 13 14 5 6 7 8 9 10 11
10 11 12 13 14 15 16 15 16 17 18 19 20 21 12 13 14 15 16 17 18
17 18 19 20 21 22 23 22 23 24 25 26 27 28 19 20 21 22 23 24 25
24 25 26 27 28 29 30 29 30 31 1 2 3 4 26 27 28 29 30 1 2
1 2 3 4 5 6 7 5 6 7 8 9 10 11 3 4 5 6 7 8 9
July August September
Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat
26 27 28 29 30 1 2 31 1 2 3 4 5 6 28 29 30 31 1 2 3
3 4 5 6 7 8 9 7 8 9 10 11 12 13 4 5 6 7 8 9 10
10 11 12 13 14 15 16 14 15 16 17 18 19 20 11 12 13 14 15 16 17
17 18 19 20 21 22 23 21 22 23 24 25 26 27 18 19 20 21 22 23 24
24 25 26 27 28 29 30 28 29 30 31 1 2 3 25 26 27 28 29 30 1
31 1 2 3 4 5 6 4 5 6 7 8 9 10 2 3 4 5 6 7 8
October November December
Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat
25 26 27 28 29 30 1 30 31 1 2 3 4 5 27 28 29 30 1 2 3
2 3 4 5 6 7 8 6 7 8 9 10 11 12 4 5 6 7 8 9 10
9 10 11 12 13 14 15 13 14 15 16 17 18 19 11 12 13 14 15 16 17
16 17 18 19 20 21 22 20 21 22 23 24 25 26 18 19 20 21 22 23 24
23 24 25 26 27 28 29 27 28 29 30 1 2 3 25 26 27 28 29 30 31
30 31 1 2 3 4 5 4 5 6 7 8 9 10 1 2 3 4 5 6 7

For such a year, the dominical letter is B and a Friday the 13th occurs on May 13. Such years occur 43 times in the 400-year cycle of the Gregorian calendar and 3 times in the 28-year cycle of the Julian calendar.

Occurrences in the Gregorian cycle (mod 400)
Century Year mod 4 = 1 Year mod 4 = 2 Year mod 4 = 3
0–99 5 33 61 89 22 50 78 11 39 67 95
100–199 101 129 157 185 118 146 174 107 135 163 191
200–299 225 253 281 214 242 270 298 203 231 259 287
300–399 321 349 377 310 338 366 394 327 355 383

In the Julian calendar, such years occur when the year reduces to 1, 7, or 18 mod 28.

In the past, the last such year was the year 2022 (2 years ago), while in the future, the next such year will be the year 2033 (9 years from now).

Finding repeating calendar years

For most common years, the following method for finding the next repeating calendar year will work.

Take the year mod 4. Then, if the result is

  • 1, add 6 years.
  • 2 or 3, add 11 years.

For example, the calendars for the years 2025, 2026, and 2027 repeat in 2031 (6 years later), 2037 (11 years later), and 2038 (11 years later) respectively.

The only exceptions occur whenever a century year is not a leap year. In that case, for the 11 consecutive years up to and including that century year, do the following to find the next repeating calendar year:

  • Add 12 years if the year ends with "90", "91", "97", or "98".
  • Add 6 years if the year ends with "93", "94", "95", "99", or "00".

For example, as the year 2100 is not a leap year, the calendars for the years 2090, 2091, 2097, and 2098 repeat in 2102, 2103, 2109, and 2110 (12 years later) respectively; while the calendars for the years 2093, 2094, 2095, 2099, and 2100 repeat in 2099, 2100, 2101, 2105, and 2106 (6 years later) respectively.