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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

What are Mersenne

Numbers?

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

Extras

How to find a

mersenne number

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!

Mersenne

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