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Marin Mersenne was a famous mathematician.
He was born on the 18th september 1588 and
passed on the 1st September 1648. While he
lived, he discovered the cycloid, which can be
found in graphs, and, of course, mersenne
numbers. He was believed to have tricked
many into believing that his method was the
only way to find a Prime number.
Date last edited: 9th Oct. 2013
2
5
31
3
13
257
17
Thank-you!
Mersenne Numbers are prime Numbers found by using the Mn=2n-1 equation. Mersenne actually only found 11, but there are a total of 47 known Mersenne Numbers today. Each is paired with a perfect number.
19
127
67
7
Mersenne and Mersenne Numbers
Marin Mersenne had realized that prime
numbers had something to do with powers
of 2. So, what he did was write a list of
several powers of 2.
All Mersenne numbers are paired with a
perfect number. All known perfect numbers
are even numbers.There is a formula known
for finding them. If 2p(−1) is prime,
then 2(p−1) is a perfect number.
1 2 3 4 5 6 7 8 9 10
2 4 8 16 32 64 128 256 512 1024
()= raised
Following the Mn=2n -1 rule, we subtract
1 from each of the products. When we
get a Prime Number, we know that the
base is a Prime Number.
1 2 3 4 5 6 7 8 9 10
2 4 8 16 32 64 128 256 512 1024
-1= 1 3 7 15 31 63 127 255 511 1023
Try it yourself!