What is Marin Mersenne famous for?
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 discover?
Marin Mersenne
| The Reverend Marin Mersenne | |
|---|---|
| Other names | Marinus Mersennus |
| Known for | Mersenne primes Mersenne’s laws Acoustics |
| Scientific career | |
| Fields | Mathematics, physics |
Who discovered Mersenne primes?
In September 2006, Curtis Cooper and Steven Boone et al. discovered the 44th known Mersenne prime in the U.S. In December 2005, Curtis Cooper and Steven Boone et al.
What did Marin Mersenne study?
Marin Mersenne, (born Sept. 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.
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.
Which is the largest prime number?
Currently, the largest known prime number is 282,589,933−1. This prime, along with the previous seven largest primes to be discovered, are known as Mersenne primes, named after the French mathematician Marin Mersenne (1588–1648).
Where can I find Mersenne primes?
If the sum of divisors of a number (excluding the number itself) equals the number, the number is a perfect number. Perfect numbers are related to Mersenne primes. To find a perfect number, calculate 2n-1 (2n – 1) where n is the number used to obtain a Mersenne prime.
Are there infinitely many Mersenne primes?
It is well known from Euclid’s proof that there exist infinitely many regular primes. However, for some special sets of prime numbers (Mersenne Primes, Sophie-Germain Primes, Twin Primes, etc.)
How many Mersenne primes have been found?
, 3, 5, 7, 13, 17, 19, 31, 61, 89, (OEIS A000043). Mersenne primes were first studied because of the remarkable properties that every Mersenne prime corresponds to exactly one perfect number….Mersenne Prime.
| # | 50? |
|---|---|
| 77232917 | |
| digits | 23249425 |
| year | Dec. 26, 2017 |
| discoverer (reference) | Jonathan Pace/GIMPS |