# The mathematical formula that explains why 2024 is a leap year and 2100 is not

Pedro Sánchez has lived fifty-two years and yet he has only turned thirteen. Football Club Barcelona signed Ferrán Torres when he was five years old, but having already lived for twenty-two. The French artist Balthus was able to celebrate his twenty-third birthday after having circled the Sun ninety-three times. It turns out that 1972, 2000 and 1908 were leap years.

Like them, more than twenty-five thousand Spaniards can only celebrate their birthday as such once every four years, whenever February 29 is dusted off and appears on the calendar again.

This is how long it takes for the Earth to give

a full turn to the sun

The hours that are ‘left over’ in the year and cause us to have a leap at the age of 4

The hours that the Romans had calculated (6 hours a year) did add up to the entire day, but it was not necessary

This is how long it takes for the Earth to give

a full turn to the sun

The hours that are ‘left over’ in the year and cause us to have a leap at the age of 4

The hours that the Romans had calculated (6 hours a year) did add up to the entire day, but it was not necessary

This is how long it takes for the Earth to give

a full turn to the sun

The hours that are ‘left over’ in the year and cause us to have a leap at the age of 4

The hours that the Romans had calculated (6 hours a year) did add up to the entire day, but it was not necessary

This is how long it takes for the Earth to give full turn to the sun

The hours that are ‘left over’ in the year and cause us to have a leap at the age of 4

It was the Romans who realized that the Earth took more than 365 days to go around the Sun. They calculated that the tropical year lasted 365.25 days and, therefore, every four years, an extra day was added. “But this produced an error, they put in extra years,” says Víctor Manero, professor of Mathematics at the University of Zaragoza and member of the Dissemination commission of the Royal Spanish Mathematical Society.

In the 13th century, the lag of 10 minutes and 44 seconds was recognized, but it was not until two hundred years later when Pope Gregory XIII promulgated a papal bull in which he asked to update the calendar. Thus, those who went to bed on October 4, 1582, woke up on October 15.

This calendar adjustment involved a new mathematical formula. Astronomers discovered that it took the Sun 365.2421891 days to pass the Aries point from one year to the next. The fraction that is closest to those decimals is 97/400.

So that another gap did not occur like the one that our ancestors corrected in the 16th century, the measure was adopted to reduce the number of leap years. That is why every 400 years there are only 97 leaps and not 100.

The mathematical formula

from around the sun

They were looking for a fraction that came as close as possible to 0.2421891

Day left in the year

Minutes that accumulate out of phase

That is why in a few years there would be possibility of having to repeat that calendar setting what they had to do five centuries ago

The mathematical formula

from around the sun

They were looking for a fraction that came as close as possible to 0.2421891

Day left in the year

Minutes that accumulate out of phase

That is why in a few years there would be possibility of having to repeat that calendar setting what they had to do five centuries ago

The mathematical formula for the return to the Sun

They were looking for a fraction that came as close as possible to 0.2421891

Day left in the year

Minutes that accumulate out of phase

That is why in a few years there would be possibility of having to repeat that calendar setting what they had to do five centuries ago

The mathematical formula for the return to the Sun

They were looking for a fraction that came as close as possible to 0.2421891

Day left in the year

Minutes that accumulate out of phase

However, Manero states that “the error is so small that a leap year will have to be removed, but perhaps in three thousand years.”

So for now, those who celebrate their birthday on February 29 will continue celebrating every four years until we reach 2100, the first year that is a multiple of 4 and 100, but not 400, when they will have to wait eight years to see the 29th again. in the calendar.

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This news article has been translated from the original language to English by WorldsNewsNow.com.

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