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Assuming a slightly stronger version of the goldbach conjecture, the only even numbers which satisfy this condition are 4 and 6.

For odd numbers, this is equivalent to asking for a number N for which both N and N-2 are composite. There are infinitely many such examples.

Ex: 5^k where k is an odd number > 1.

The number 1 also.

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13y ago
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10y ago

Basically any odd number, as long it isn't a prime, and the number two less isn't a prime. The reason is that the only way to express an odd number as the sum of two primes is if one of the numbers is 2, since if you add two odd numbers, you can only get an even number. For example:

27, 35, 51, 57, 65, etc.

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Q: A number that is neither prime nor the sum of two distinct primes?
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Related questions

What number is neither prime or the sum of two distinct primes?

One.


A number that is neither prime nor the sum of 2 distinct primes?

One


What is a distinct odd prime?

When a factor of a number is composed of distinct primes, all the odd primes are raised to a power of 1, while the only even number which is 2 can be raised to any power. For example, the factor of 2134346 is 2*19*56167 Here all the primes are distinct primes.


How many primes factors does the number 189 have?

Two distinct prime factors, four altogether.


What are distinct primes?

They are different prime factors of a number, as opposed to repeated factors.For example, the prime factorisation of 12 is 2*2*3. The distinct primes of 12 are 2 and 3.


What do you call a number that's neither prime or composite?

One.By definition numbers are:prime if they have only 2 distinct factors (namely 1 and the number itself);composite if they have 3 or more distinct factorsThe important thing to note is the word distinct. The number 1 has only 1 distinct factor, namely 1; thus it is neither a prime (the first prime number is 2) nor composite.


Why is 0 and 1 are neither prime nor composite numbers?

The accepted definition of a prime number is a natural number which has exactly two distinct divisors. The number 1 has only one distinct divisor: itself. The number 0 can be said to have infinitely many distinct divisors.


What is the smallest composite number that has 3 distinct prime factors?

Distinct would mean they are all different, so take the 3 lowest primes and multiply them: 2*3*5 = 30


Is 1 a prime?

Primes and composite numbers have two or more factors, including 1 and the number itself. 1 has only one factor, so it is neither a prime nor a composite number.


Which are the numbers which are neither prime nor composite and why?

All primes have two positive divisors. There are only two integers that are neither composite or prime and they are 1 and 0. The number 1 has only 1 positive divisor, itself. The number 0 has an infinite number of divisors.


Is 7 and 42 a prime number?

No, 7 and 42 are not prime numbers. 7 is a prime number because it only has two distinct positive divisors, 1 and 7. 42 is not a prime number because it has more than two distinct positive divisors, including 1, 2, 3, 6, 7, 14, 21, and 42.


What are primes of 743?

743 is a prime number.