+0  
 
0
362
1
avatar

how many Mersenne primes are there less than 100

 Nov 18, 2021
 #1
avatar+592 
0

a Mersenne prime is a prime number one less than a power of two

27 = 128 which means there are 6 number that can be a Mersenne prime less than 100: 

21 - 1 = 1, which isn't prime
22 - 1 = 3, which is prime

23 - 1 = 7, which is prime
24 - 1 = 15, which isnt prime

25 - 1 = 31, which is prime

26 - 1 = 63, which isnt prime 

 

this means there are 3 Mersenne primes that are less than 100

 Nov 18, 2021

2 Online Users