Prime if n=1, composite otherwise.
A Mersenne prime has the form 2n-1. For 2n-1 to be prime, n must also be prime. Perfect numbers have the form 2n-1(2n-1) where 2n-1 is a Mersenne prime, so when a new Mersenne prime is discovered, another perfect number is also found.
Mersenne primes are mostly of interest as mathematical curios. A Mersenne prime has the form 2n-1. For 2n-1 to be prime, n must also be prime. Perfect numbers have the form 2n-1(2n-1) where 2n-1 is a Mersenne prime, so when a new Mersenne prime is discovered, another perfect number is also found.
Neither
A Mersenne number is a number of the form 2n-1. When this number is prime, it is known as a Mersenne prime.A Mersenne prime has the form 2n-1. For 2n-1 to be prime, n must also be prime. Examples are the Mersenne prime 7 (23 - 1 = 7) and the Mersenne prime 127 (27 - 1 = 127)
Composite. It is divisible by 3 for any n.
2 is a prime number. 2 times anything but 1 is composite.
A Mersenne prime has the form 2n-1. For 2n-1 to be prime, n must also be prime. Perfect numbers have the form 2n-1(2n-1) where 2n-1 is a Mersenne prime, so when a new Mersenne prime is discovered, another perfect number is also found.
make n one
Mersenne primes are mostly of interest as mathematical curios. A Mersenne prime has the form 2n-1. For 2n-1 to be prime, n must also be prime. Perfect numbers have the form 2n-1(2n-1) where 2n-1 is a Mersenne prime, so when a new Mersenne prime is discovered, another perfect number is also found.
To be pedantic, the question should say "for all n >= 2". A detailed proof is given here: http://mathforum.org/library/drmath/view/51527.html The proof is quite long, but it only uses properties of logarithms, exponents, and the binomial theorem, so if you know about these and have enough mental stamina, you can probably make sense of it.
Neither
Meiosis produces haploid gametes which have the ' n ' symbol.
A Mersenne number is a number of the form 2n-1. When this number is prime, it is known as a Mersenne prime.A Mersenne prime has the form 2n-1. For 2n-1 to be prime, n must also be prime. Examples are the Mersenne prime 7 (23 - 1 = 7) and the Mersenne prime 127 (27 - 1 = 127)
Let n = smallest of the odd numbers, then let n+2 = the larger of the two numbers (Remember, 1 is not a prime number.) n+ n+2 = {(2)(7)}2 2n +2 = 142 2n = 196 -2 2n = 194 n = 97 n + 2 = 99
It is one
Composite. It is divisible by 3 for any n.
Two is a Mersenne prime because it follows the algorithm 2n - 1 to produce the prime number 3 (22 - 1 = 4 -1 = 3).* * * * *Mersenne primes can be defined in two equivalent ways:Numbers of the form 2n - 1 where n is a primeor where the number 2n - 1 is itself a prime.The more commonly accepted definition is the second one. Thus n = 2 gives the smallest Mersenne prime, which is 3.But, since n = 2 gives a result that is prime, it is also sometimes referred to as a Mersenne prime.