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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.

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Q: How do you prove that there is a prime between n and 2n?
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Related questions

If n is anumber is 2n prime or composite?

Prime if n=1, composite otherwise.


Is 2n prime or composite?

2 is a prime number. 2 times anything but 1 is composite.


How do you make 2n prime?

make n one


What is special about a Mersenne prime?

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.


What is the difference between 2N and N?

what is the difference between 2x and 2n


What is difference between the n and 2n number?

2n is 2 times n.


What are Mersenne Primes used for?

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.


What is true of meiosis n to n n to 2n 2n to n or 2n to 2n?

it is 2n -n because in meiosis a diploid 2n becomes a haploid n.


How do you prove 2n is the sum of two odd consecutive integers?

2n can be split into 2 n's so: n+n then add one to one of the n's and subtract one from one of the n's n+1+n-1 ^two consecutive odd integers^


Which or these is true of meiosis n n n 2n 2n n 2n 2n?

Meiosis produces haploid gametes which have the ' n ' symbol.


What is the definition of Mersenne numbers?

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)


The sum of two consecutive odd numbers is the square of the product of the first and fourth prime numbers what are the two odd numbers?

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