Leap Year Calculator

Check if any year is a leap year and explore leap year patterns. Perfect for calendar calculations, historical research, and understanding leap year cycles.

Leap Year Calculator

Check if a year is a leap year and explore leap year patterns

Leap Year Rules:

  • • A year is a leap year if it's divisible by 4
  • • However, if the year is divisible by 100, it's NOT a leap year
  • • Unless the year is also divisible by 400, then it IS a leap year
  • • Examples: 2000 (leap), 1900 (not leap), 2004 (leap), 2100 (not leap)

How to Use the Leap Year Calculator

1

Choose Calculation Type: Select "Single Year" to check one year or "Year Range" to analyze multiple years.

2

Enter Year(s): Input a single year or specify start and end years for range analysis.

3

Get Results: View comprehensive leap year information including patterns, timelines, and statistical analysis.

Leap Year Rules & Logic

Basic Rule

A year is a leap year if it is divisible by 4.

Examples: 2004, 2008, 2012, 2016, 2020, 2024

Century Exception

However, if the year is divisible by 100, it is NOT a leap year.

Examples: 1700, 1800, 1900 (not leap years)

Century Leap Year Exception

Unless the year is also divisible by 400, then it IS a leap year.

Examples: 1600, 2000, 2400 (leap years)

Complete Algorithm

Step 1: If year ÷ 4 ≠ 0, then NOT a leap year

Step 2: If year ÷ 100 ≠ 0, then IS a leap year

Step 3: If year ÷ 400 ≠ 0, then NOT a leap year

Step 4: Otherwise, IS a leap year

Historical Context

Gregorian Calendar

Introduced in 1582 by Pope Gregory XIII to correct the Julian calendar's drift. The leap year rules we use today were established then.

Astronomical Year

The Earth takes approximately 365.2422 days to orbit the Sun, not exactly 365.25 days, which is why the 100/400 rule exists.

Calendar Accuracy

The Gregorian calendar is accurate to about 1 day every 3,030 years, making it extremely precise for practical purposes.

Global Adoption

While introduced in 1582, the Gregorian calendar wasn't adopted worldwide until the 20th century in some countries.

Examples & Applications

Recent Leap Years

2000
2004
2008
2012
2016
2020
2024
2028
2032
2036

Green: Past/Current | Blue: Future

Century Years (1600-2400)

1600, 2000, 2400✓ Leap Years
1700, 1800, 1900, 2100, 2200, 2300✗ Not Leap Years

Practical Applications

  • Birthday Calculations: People born on February 29th celebrate every 4 years
  • Financial Systems: Interest calculations and loan terms account for leap years
  • Software Development: Date libraries must handle leap year logic correctly
  • Contract Law: Lease agreements and contracts may specify leap year handling
  • Sports Events: Summer Olympics occur every 4 years on leap years

Leap Year Fun Facts

Leap Day Babies

About 4.1 million people worldwide are born on February 29th. They're called "leaplings" or "leapers."

Probability

The chance of being born on leap day is about 1 in 1,461 (approximately 0.068%).

Traditions

In some cultures, February 29th is when women traditionally propose marriage to men.

Next Century Leap Year

The next century year that will be a leap year is 2400, since 2100, 2200, and 2300 are not leap years.