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Find three consecutive numbers whose sum is 138 by writing and solving an equation

Given n points in the three dimensional space such, that the arbitrary triangle with the vertices in three of those points contains an angle greater than degrees.

Prime numbers Video transcript Write the prime factorization of Write your answer using exponential notation. So we have a couple of interesting things here. Prime factorization, and they say exponential notation. We'll worry about the exponential notation later. So the first thing we have to worry about is what is even a prime number?

And just as a refresher, a prime number is a number that's only divisible by itself and one, so examples of prime numbers-- let me write some numbers down.

So 2 is a prime number. It's only divisible by 1 and 2. Now, 4 is not prime, because this is divisible by 1, 2 and 4.

We could keep going. I think you get the general idea. You move to 7, 7 is prime. It's only divisible by 1 and 7. Prime is not the same thing as odd numbers. Then if you move to 10, 10 is also not prime, divisible by 2 and 5.

And we could keep going on like this. People have written computer programs looking for the highest prime and all of that. So now that we know what a prime is, a prime factorization is breaking up a number, like 75, into a product of prime numbers.

So let's try to do that. So we're going to start with 75, and I'm going to do it using what we call a factorization tree.

So we first try to find just the smallest prime number that will go into Now, the smallest prime number is 2. Does 2 go into 75? Well, 75 is an odd number, or the number in the ones place, this 5, is an odd number.

So then we could try 3.The loop is the result of our ability to translate "every character needs to be looked at" into our native programming language. It became obvious that the tolower subroutine call should be in the loop's body.

The final step required to bring the high-level task into an implementation was deciding how to . A prime number (or a prime) is a have been proven, for example, Vinogradov's theorem says that every sufficiently large odd integer can be written as a sum of three primes.

An arithmetic progression is a finite or infinite sequence of numbers such that consecutive numbers in the sequence all have the same difference.

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This number is the original Smith number, a number whose sum of digits is the same of the sum of the digits in its prime factorization. It was the phone number of Albert Wilansky's brother-in-law Harold Smith, and Albert Wilansky noticed Smith's phone number having this unusual property: 4,, = 3*5*5*65,, and 4+9+3+7+7+7+5 = 3+5+5+6+5+8.

Watch video · Prime factorization, and they say exponential notation. We'll worry about the exponential notation later. you know that if you have three quarters, you have 75 cents, or if you have 3 times 25, you have It's 5 times 5.

So 25 is 5 times 5. And we're done with our prime factorization because now we have all prime numbers here. So we.

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