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Édouard Lucas
Elucas 1.png
Born (1842-04-04)4 April 1842
Died 3 October 1891(1891-10-03) (aged 49)
Nationality  France
Alma mater École Normale Supérieure
Known for Lucas number
Lucas sequence
Lucas primality test
Lucas–Lehmer primality test
Lucas prime
Lucas's theorem
Genaille–Lucas rulers
Ménage problem
Tower of Hanoi
Scientific career
Fields Mathematics

François Édouard Anatole Lucas (born April 4, 1842 – died October 3, 1891) was a French mathematician. He is famous for studying the Fibonacci sequence. The related Lucas sequences and Lucas numbers are named after him.

Who Was Édouard Lucas?

Édouard Lucas was born in Amiens, France. He studied at a top school called the École Normale Supérieure. Later, he worked at the Paris Observatory. He also became a math teacher in Paris. He taught at the Lycée Saint Louis and the Lycée Charlemagne.

Lucas as a Soldier

Lucas was an artillery officer in the French Army. He served during the Franco-Prussian War. This war happened between 1870 and 1871.

Solving the Cannonball Problem

In 1875, Lucas presented a tough math puzzle. It is known as the cannonball problem. Imagine you have cannonballs arranged in a square on the ground. Can you stack them to form a square pyramid?

Lucas asked to prove that only one way works for more than one layer. This is when you have 24 layers of cannonballs. The total number of cannonballs would be 70 squared. It took many years to find a proof for this problem.

Testing Big Prime Numbers

Lucas was very good at finding prime numbers. A prime number can only be divided by 1 and itself. In 1857, when he was just 15, Lucas started a huge task. He began testing if the number 2127 − 1 was prime.

This number has 39 digits! He worked on it by hand for 19 years. In 1876, he finally proved it was a prime number. This was the largest known Mersenne prime for 75 years. It might be the biggest prime ever proven by hand. Later, other mathematicians used his ideas to make faster tests.

Fun with Math Puzzles

Lucas also loved recreational mathematics. These are math problems that are fun to solve. He found a clever way to solve the Baguenaudier puzzle. This puzzle involves loops and rings.

He also invented the famous Tower of Hanoi puzzle in 1883. He sold this puzzle using a secret name. The name was N. Claus de Siam. This was an anagram of Lucas d'Amiens. An anagram is when you rearrange letters to make new words. He also wrote about the dots and boxes game in 1889.

How Lucas Died

Édouard Lucas died in an unusual way. He was at a dinner for a science meeting. A waiter accidentally dropped some dishes. A piece of broken plate cut Lucas on the cheek. He died a few days later from a serious infection. He was 49 years old.

Lucas's Books

Lucas wrote several books about mathematics. Some of them were about fun math puzzles.

  • Recherches Sur Plusieurs Ouvrages De Léonard De Pise Et Sur Diverses Questions D’Arithmétique Supérieure (1877)
  • Récréations scientifiques (1880)
  • Théorie des nombres, Tome Premier (1891)
  • Récréations mathématiques (1894)
  • L'arithmétique amusante (1895)

See also

Kids robot.svg In Spanish: Édouard Lucas para niños

  • Lucas pseudoprime
  • Lucas–Carmichael number
  • Pell-Lucas numbers
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