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To begin considering, we must notice that an odd number must be the sum of an even and an odd number. The only even prime is two. So all we have to do to disprove this idea is to find a square such that two less isn't prime. Let's start checking:
9 - 2 = 7, prime
25 - 2 = 23, prime
49 - 2 = 47, prime
81 - 2 = 79, prime
121 - 2 = 119, prime
169 - 2 = 167, prime
225 - 2 = 223, prime
289 - 2 = 287, not prime
So, you only need go to 17 squared to find that this does not always hold true.
What else can I help you with?
The largest integer that is not the product of two or more different primes?
The largest integer that is not the product of two or more different primes would be the largest prime number. Because there are an infinite number of prime numbers, there is no largest integer that is not the product of two or more different primes.
What is the least positive number that is divisible by three different primes?
30, which is the smallest positive integer divisible by the first three primes: 2, 3 and 5.
What number am I when divided by 2 3 4 or 5 there is nothing left over the numbers before and after me are prime?
You are a multiple of 60. You could be 60 (59 and 61 are primes) or 180 (179 and 181 are primes) or 240 (239 and 241 are primes) or 420 (419 and 421 are primes) or 600 (599 and 601 are primes) or 660 (659 and 661 are primes) ........and there are numerous others.
Why do odd numbers have more primes?
An even number is on that is a multiple of 2 so any even number greater than 2 can't be prime. Here is why, a prime is a number whose only divisors are 1 and itself. That means if I take a number, call it P, the onlly divisors of P are 1 and P. That is the same as saying you can only divide P by itself and 1 or the only factors of P are 1 and itself. If a number is even, then it has 2 as a divisor or a factor so it is not prime. So we just got rid of every even number greater than 2 as a possible primes. The odds are left and some of them are primes and some are not. Dr. Chuck aka Mathdoc
Are there more primes or composites?
In any large range of numbers, more so the higher and larger the range is, there will be more composites than primes. It is far more likely that a given number will be divisible by some number less than the number itself, the higher you go.
Investigate whether or not it's possible to form every square number by adding to primes together?
no because 1 is a square and no primes can be added to make it (1 is not prime)
Can you add 6 prime numbers and get a composite number?
As long as 2 is not one of the primes that you are adding, then I can guarantee that you will get a composite. 2 is the only even prime number. Any time you add two odd numbers together, you will get an even number (which is not prime). So if you add them in pairs, you will have three even numbers, which added together result in an even number, so it is composite. If you throw in 2 as one of the primes that you're adding, then your result is odd, and I don't know what else to say about your result.
List all prime numbers?
Euclid proved there are infinite. He said that if there were a finite number of primes, if you multiply all the primes together and then add 1, the result will be a prime. Thus, there are infinite primes.
How can a 5 be a composite and a prime number?
It cannot. A number can be one or the other, but never both. The definition of Composite, is that it is "Composed" of primes, in other words that two or more primes were multiplied together to obtain it. 5 is prime.
Total number of primes from 1 to 100?
25 primes.
Are twin primes infinitive?
Yes, there are an infinite number of twin primes.
Which factor tree shows the number 12 correctly factored into primes?
12 6,2 3,2,2 There are other possible answers.
The larger number of the fourth of twin primes?
The larger number of the fourth set of twin primes is 19.
Why is it helpful to write a number as a product of primes?
Because it helps in reducing fractions to their simplest terms and finding the lowest common denominator when adding or subtracting fractions
What is the proof about multiplying twin primes and adding 1?
The question depends on what it is that you want to prove!
What is the greatest number of primes in any number?
There is no limit.
Are the number of primes infinite?
Yes.
