What did Marin Mersenne discover?
Contents
What did Marin Mersenne discover?
Marin Mersenne
| The Reverend Marin Mersenne | |
|---|---|
| Other names | Marinus Mersennus |
| Known for | Mersenne primes Mersenne’s laws Acoustics |
| Scientific career | |
| Fields | Mathematics, physics |
What did Marin Mersenne do?
Marin Mersenne was a French monk who is best known for his role as a clearing house for correspondence between eminent philosophers and scientists and for his work in number theory.
What did Marin Mersenne study?
Mersenne was educated at the Jesuit college of La Flèche soon after its founding in 1604. He left La Flèche about 1609 to study theology in Paris at both the Sorbonne and the Collège de France. From 1614 to 1618 he taught philosophy and theology at Nevers.
What was the major contribution of Father Marin Mersenne to the development of mathematics?
Born in Hungary, he solved countless problems in graph theory, number theory, combinatorics, analysis, probability, and other parts of mathematics. During his life, Erdős published around 1,500 papers and collaborated with more than 500 other mathematicians.
Why are Mersenne primes important?
Mersenne primes were studied in antiquity because of their close connection to perfect numbers: the Euclid–Euler theorem asserts a one-to-one correspondence between even perfect numbers and Mersenne primes. Many of the largest known primes are Mersenne primes because Mersenne numbers are easier to check for primality.
What is the largest known Mersenne prime?
2^82,589,933 – 1
The Great Internet Mersenne Prime Search (GIMPS) has discovered the largest known prime number, 2^82,589,933 – 1, having 24,862,048 digits. A computer volunteered by Patrick Laroche from Ocala, Florida, made the find on December 7, 2018.
Why is 31 a Mersenne prime?
The exponents n which give Mersenne primes are 2, 3, 5, 7, 13, 17, 19, 31….Mersenne prime.
| Named after | Marin Mersenne |
|---|---|
| Subsequence of | Mersenne numbers |
| First terms | 3, 7, 31, 127, 8191 |
| Largest known term | 282,589,933 − 1 (December 7, 2018) |
| OEIS index | A000668 Mersenne primes (of form 2^p – 1 where p is a prime) |
When was Marin Mersenne’s Harmonie Universelle published?
Harmonie universelle (Complete title: Harmonie universelle, contenant la théorie et la pratique de la musique) is the work of Marin Mersenne, published in Paris in 1636. It represented the sum of musical knowledge during his lifetime.
Who was the author of the Harmonie universelle?
Harmonie universelle (“Universal Harmony”; complete title: Harmonie universelle, contenant la théorie et la pratique de la musique) is a work by Marin Mersenne, published in Paris in 1636. It represented the sum of musical knowledge during his lifetime.
Which is the most important work of Marin Mersenne?
L’Harmonie universelle is perhaps Mersenne’s most influential work. It is one of the earliest comprehensive works on music theory, touching on a wide range of musical concepts, and especially the mathematical relationships involved in music.
When did Marin Mersenne determine the absolute frequency of a tone?
Mersenne’s description in the 1636 Harmonie universelle of the first absolute determination of the frequency of an audible tone (at 84 Hz) implies that he had already demonstrated that the absolute-frequency ratio of two vibrating strings, radiating a musical tone and its octave, is 1 : 2.