Can the difference of two cubes be prime?

Can the difference of two cubes be prime?

Reciprocally, all integer n of the forme 3k2+3k+1 is obviously representable as a difference of two cubes because (k+1)3−k3=n and so is all prime p of the same form.

Is the sum of two numbers always prime?

Correct answer: The sum of two primes is always even: This is only true of the odd primes. 2 is also a prime number, however, and 2 plus an odd number is odd. Every positive prime has a corresponding negative prime: This is also false. There are no negative primes.

Is the sum of two squares prime?

A number which can be written in two or more different ways as a sum of two squares is not prime but is composed of at least two factors.

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Is 2 cubed a prime number?

The first few prime numbers are 2, 3, 5, 7, 11, 13, 17 and 19. A cube number is the result of multiplying a number by itself once, then twice. For example, 2 × 2 × 2 (or 23) = 8 Therefore, 8 is a cube number.

What happens when you add 2 prime numbers?

The sum of two prime numbers is not always even. Because of every prime number is an odd number except 2, However, adding two odd numbers always results in an even number. If you add any prime numbers with 2 it will be odd. The sum of two prime numbers except 2, are always even.

What is the sum of a prime number?

How to find the sum of prime numbers up to a prime number n, that is for example: the sum of prime numbers up to 7 is: 2+3+5+7=17.

How do you check if a number is sum of two squares?

We use two for loops running till the square root of n and each time we find whether the sum of the square of both numbers of the loop is equal to N. If we find that combination, then we will print Yes, otherwise No. for i=1 to sqrt(n) for j=i to sqrt(n) if (i*i+j*j == n) return true; return false; C++

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What’s the second cube number?

Cube Numbers List

Number Cube
2 8 =2 X 2 X 2
3 27 =3 X 3 X 3
4 64 =4 X 4 X 4
5 125 =5 X 5 X 5

Is 343 a cube number?

As the cube root of 343 is a whole number, 343 is a perfect cube.