LOGICVILLE
 Mathematical Puzzles Cryptarithms Anagrams Cryptograms Doublets Logic Puzzles Magic Word Squares Sudoku Chess Fractal Puzzles Tangrams

 Intellectual Puzzles Bookstore List of Puzzles Analytical Puzzles Christmas Puzzles New Year's Puzzles Fractal Puzzles Easter Puzzles Nature Fractals Encrypted Quotations Fractal Images Baseball Puzzles Daily Fractal Puzzle Math Recreations Algebra Placement Cryptogram Challenge Sudoku Tangrams Tangram Stories Puzzle Categories Thanksgiving Quotes Christmas Quotes Christmas Logic New Year Resolutions Solutions Advertise With Us

 Previous Topic Next Topic MARSENNE'S PRIMES Prime numbers are positive integers greater than one with no factors other than one and themselves.  They include 2, 3, 5, 7, 11, 13, 17 ...  With the exception of two, all the prime numbers are odd numbers. A number of the form 2n-1 are called Marsenne's Number.  Because a group of prime numbers are of this form, Prime numbers of the form 2n-1 are called Marsenne's Primes.  Marin Mersenne (1588-1648) was a French monk who showed that the numbers 2n-1 were prime for n=2, 3, 5, 7, 13, 17, 19, 31, 67, 127 and 257.  It can be noted that all these numbers are prime numbers.  It was later shown that in order for a Mersenne number to be a Mersenne prime, n has to be a prime number. Mersenne's prime has also been an area of interest because it has been noted that every Mersenne's prime corresponds to a one perfect number thru the relationship           p = 2(n-1)(M) where p is the perfect number and (M) is a Mersenne's prime. Previous Topic Next Topic

Custom Search

 © 2000-2013 Logicville