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There are no fixed differences. In fact, gaps between successive primes can be arbitrarily large. As of 2014, the largest prime gap between proven primes is 1,113,106. The two successive primes at either end have 18662 digits each. A larger gap, of 3,311,852 numbers between probable primes has been conjectured.
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Can two consecutive whole numbers whole numbers be prime?
The only two consecutive whole numbers that are prime numbers are 2 and 3. Otherwise, every second consecutive whole number in sequence is even, and being multiples of 2, they cannot be prime.
Can you express every odd prime number as the difference of two squares?
Every odd number greater than one is the difference of two squares. This includes all the odd prime numbers. To find the two numbers whose difference of squares equals a particular odd number, divide the odd number by 2. The two numbers are the integers immediately below and above that dividend. For example, 17 is the difference of two squares. Divide 17 by 2 and get 8.5. The two numbers are 8 and 9. 92 - 82 = 81 - 64 = 17.
What are the even numbers below 100?
The get a list of all even numbers, write the number 2, then slip the next number (3) and write the number 4. Continue by skipping every other number, which will be the odd numbers. Alternatively, write a consecutive list of all of the numbers from 1 to 50, then multiply each one by 2. The products are all of the multiples of 2, which are even numbers.
What are the integers between -4 and 2?
Ah, let's take a moment to appreciate the beauty of numbers. The integers between -4 and 2 are -3, -2, -1, 0, and 1. Each of these numbers has its own unique value and place in the number line, just like each tree in a painting adds depth and character to the landscape. Remember, every number is special in its own way.
What are the cube numbers between 30 and 50?
none 3 x 3 x 3 = 27 4 x 4 x 4 = 64 ---------------------------- Every number has a cube root, just most of them are not whole numbers, so every number between 30 and 50 is a cube. If you meant what the perfect cube numbers (ie the cubes of whole numbers) between 30 and 50, then the answer is, as above, none.
